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Integral terminal sliding mode augmented finite-time visual servo control of omni-directional mobile manipulators 被引量:1
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作者 Yuanji Liu Tianyu Zhu +1 位作者 Qingdu Li Jianwei Zhang 《Control Theory and Technology》 2025年第2期193-206,共14页
This paper presents a robust finite-time visual servo control strategy for the tracking problem of omni-directional mobile manipulators(OMMs)subject to mismatched disturbances.First,the nonlinear kinematic model of vi... This paper presents a robust finite-time visual servo control strategy for the tracking problem of omni-directional mobile manipulators(OMMs)subject to mismatched disturbances.First,the nonlinear kinematic model of visual servoing for OMMs with mismatched disturbances is explicitly presented to solve the whole-body inverse kinematic problem.Second,a sliding mode observer augmented with an integral terminal sliding mode controller is proposed to handle these uncertainties and ensure that the system converges to a small region around the equilibrium point.The boundary layer technique is employed to mitigate the chattering phenomenon.Furthermore,a strict finite-time Lyapunov stability analysis is conducted.An experimental comparison between the proposed algorithm and a traditional position-based visual servo controller is carried out,and the results demonstrate the superiority of the proposed control algorithm. 展开更多
关键词 Omni-directional mobile manipulators Nonlinear kinematic model Mismatched disturbances integral terminal sliding mode control Finite-time control
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Sliding Mode Variable Structure Control for Visual Servoing System 被引量:5
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作者 Fei Li Hua-Long Xie 《International Journal of Automation and computing》 EI 2010年第3期317-323,共7页
A visual servoing tracking controller is proposed based on the sliding mode control theory in order to achieve strong robustness against parameter variations and external disturbances. A sliding plane with time delay ... A visual servoing tracking controller is proposed based on the sliding mode control theory in order to achieve strong robustness against parameter variations and external disturbances. A sliding plane with time delay compensation is presented by the pre-estimate of states. To reduce the chattering of the sliding mode controller, a modified exponential reaching law and hyperbolic tangent function are applied to the design of visual controller and robot joint controller. Simulation results show that the visual servoing control scheme is robust and has good tracking performance. 展开更多
关键词 Visual servoing sliding mode control variable structure control reaching law time delay.
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Variable structure control with sliding mode prediction for discrete-time nonlinear systems 被引量:4
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作者 Lingfei XIAO Hongye SU Xiaoyu ZHANG Jian CHU 《控制理论与应用(英文版)》 EI 2006年第2期140-146,共7页
A new variable structure control algorithm based on sliding mode prediction for a class of discrete-time nonlinear systems is presented. By employing a special model to predict future sliding mode value, and combining... A new variable structure control algorithm based on sliding mode prediction for a class of discrete-time nonlinear systems is presented. By employing a special model to predict future sliding mode value, and combining feedback correction and receding horizon optimization methods which are extensively applied on predictive control strategy, a discrete-time variable structure control law is constructed. The closed-loop systems are proved to have robustness to uncertainties with unspecified boundaries. Numerical simulation and pendulum experiment results illustrate that the closed-loop systems possess desired performance, such as strong robustness, fast convergence and chattering elimination. 展开更多
关键词 variable structure control sliding mode prediction Discrete-time nonlinear system Pendulum experiment
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Optimal variable structure control with sliding modes for unstable processes 被引量:4
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作者 KUMAR Satyendra AJMERI Moina 《Journal of Central South University》 SCIE EI CAS CSCD 2021年第10期3147-3158,共12页
In this work,a variable structure control(VSC)technique is proposed to achieve satisfactory robustness for unstable processes.Optimal values of unknown parameters of VSC are obtained using Whale optimization algorithm... In this work,a variable structure control(VSC)technique is proposed to achieve satisfactory robustness for unstable processes.Optimal values of unknown parameters of VSC are obtained using Whale optimization algorithm which was recently reported in literature.Stability analysis has been done to verify the suitability of the proposed structure for industrial processes.The proposed control strategy is applied to three different types of unstable processes including non-minimum phase and nonlinear systems.A comparative study ensures that the proposed scheme gives superior performance over the recently reported VSC system.Furthermore,the proposed method gives satisfactory results for a cart inverted pendulum system in the presence of external disturbance and noise. 展开更多
关键词 variable structure control sliding mode control Whale optimization algorithm ROBUSTNESS non-linear system
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Coordinating optimization-based sliding mode variable structure control for electro-hydraulic servo system
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作者 Yong YANG An LUO Hua HAN 《控制理论与应用(英文版)》 EI 2006年第2期168-174,共7页
A sliding mode variable structure control (SMVSC) based on a coordinating optimization algorithm has been developed. Steady state error and control switching frequency are used to constitute the system performance i... A sliding mode variable structure control (SMVSC) based on a coordinating optimization algorithm has been developed. Steady state error and control switching frequency are used to constitute the system performance indexes in the coordinating optimization, while the tuning rate of boundary layer width (BLW) is employed as the optimization parameter. Based on the mathematical relationship between the BLW and steady-state error, an optimized BLW tuning rate is added to the nonlinear control term of SMVSC. Simulation experiment results applied to the positioning control of an electro-hydraulic servo system show the comprehensive superiority in dynamical and static state performance by using the proposed controller is better than that by using SMVSC without optimized BLW tuning rate. This succeeds in coordinately considering both chattering reduction and high-precision control realization in SMVSC. 展开更多
关键词 sliding mode variable structure control(SMVSC) Varying boundary layer Chattering reduction Steady-state performance Coordinating optimization(CO) Electro-hydraulic servo system (EHSS)
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Dynamics Modeling and Control of Vertical/Short Take-Off and Landing Aircraft During Take-Off and Landing Phases
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作者 Shiqiang Guo Xiaming Yuan Jihong Zhu 《Journal of Beijing Institute of Technology》 2026年第1期127-136,共10页
This paper proposes a trajectory tracking control scheme for vertical/short take-off and landing(V/STOL)vehicles.Owing to their high number of controllable degrees of freedom and strong nonlinearity,the design of flig... This paper proposes a trajectory tracking control scheme for vertical/short take-off and landing(V/STOL)vehicles.Owing to their high number of controllable degrees of freedom and strong nonlinearity,the design of flight control systems for such vehicles presents considerable challenges,particularly in developing controllers capable of accurately tracking specified trajectories.Building on existing control strategies for various vehicle types,this study introduces an extended control framework tailored for V/STOL systems.The proposed scheme consists of two nested loops:an outer position control loop and an inner attitude control loop.The position loop employs a proportional-integral-derivative(PID)control algorithm,whereas the attitude loop utilizes an anti-saturation integral sliding mode control algorithm.This approach effectively alleviates the integral oversaturation issue inherent in conventional sliding mode methods and suppresses buffeting through a boundary layer technique.Simulation results demonstrate the efficacy of the proposed control strategy. 展开更多
关键词 vertical/short take-off and landing(V/STOL) trajectory tracking integral sliding mode control
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Three-dimensional guidance law based on adaptive integral sliding mode control 被引量:30
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作者 Song Junhong Song Shenmin 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2016年第1期202-214,共13页
For the terminal guidance problem of missiles intercepting maneuvering targets in the three-dimensional space, the design of guidance laws for non-decoupling three-dimensional engage- ment geometry is studied. Firstly... For the terminal guidance problem of missiles intercepting maneuvering targets in the three-dimensional space, the design of guidance laws for non-decoupling three-dimensional engage- ment geometry is studied. Firstly, by introducing a finite time integral sliding mode manifold, a novel guidance law based on the integral sliding mode control is presented with the target acceler- ation as a known bounded external disturbance. Then, an improved adaptive guidance law based on the integral sliding mode control without the information of the upper bound on the target accel- eration is developed, where the upper bound of the target acceleration is estimated online by a designed adaptive law. The both presented guidance laws can make sure that the elevation angular rate of the line-of-sight and the azimuth angular rate of the line-of-sight converge to zero in finite time. In the end, the results of the guidance performance for the proposed guidance laws are pre- sented by numerical simulations. Although the designed guidance laws are developed for the con- stant speed missiles, the simulation results for the time-varying speed missiles are also shown to further confirm the designed guidance laws. 展开更多
关键词 Adaptive control Finite-time convergence integral sliding mode control MISSILE Three-dimensional guidance law
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Switching in Sliding Mode Control:A Spatio-Temporal Perspective
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作者 Xinghuo Yu 《IEEE/CAA Journal of Automatica Sinica》 2025年第6期1063-1071,共9页
Sliding mode control(SMC)is a widely adopted control technology known for its robustness and simplicity.The essence of SMC is to use discontinuous control to drive a system into a pre-defined motion,called the sliding... Sliding mode control(SMC)is a widely adopted control technology known for its robustness and simplicity.The essence of SMC is to use discontinuous control to drive a system into a pre-defined motion,called the sliding mode,which is designed with desirable dynamical properties.In the sliding mode,the controlled system is insensitive to the matched uncertainties and disturbances.Most SMC theory and methods have been developed based on the dynamical systems in the continuous-time domain,where switching functions play a critical role.Ideal switching is supposed to be instantaneous,activating as soon as the switching condition is met.However,in practice,switching mechanisms are affected by imperfections such as time delays,unmodeled dynamics,defects,digitization effects,and actuation limitations,which can degrade the salient properties of SMC.Understanding these effects and developing mitigation strategies are essential for industrial applications.Furthermore,the advent of networked control environments presents new challenges like limited communication bandwidth,latency and cyberattack,which have seen the emergence of the event-triggered SMC recently.Despite these significant advances,there is a lack of comprehensive studies which examine the commonalities and distinctions of utilizing switching in SMC across the continuous-time and discrete-time domains and beyond.This paper investigates the role of switching in SMC from a spatio-temporal perspective,considering both state-space and time aspects.The aim is to facilitate better understanding of its effects and misbehaviors,and to unlock its full potential for future applications.The interplay between SMC methods in the continuous-time and discrete-time domains is analyzed,and their shared principles and unique challenges are identified.Furthermore,important technical issues relating to switching across these time domains are explored,and several myths and pitfalls in their theory and applications are depicted.The relationships of SMC with other switching-based control systems such as switched control systems,fuzzy control systems,and event-triggered control systems are discussed.The impact of networked control environments on SMC in the continuous-time and discrete-time domains is also examined.Finally,key challenges and opportunities are outlined for future work in SMC and beyond. 展开更多
关键词 Averaging method chaos CHATTERING discontinuous control DISCRETIZATION DIGITIZATION event-triggered control filippov theory fuzzy control lyapunov functions impulsive control nonlinear dynamics periodic orbits sliding mode control stability switching control variable structure systems
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Adaptive Integral-type Sliding Mode Control for Spacecraft Attitude Maneuvering Under Actuator Stuck Failures 被引量:17
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作者 HU Qinglei ZHANG Youmin +1 位作者 HUO Xing XIAO Bing 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2011年第1期32-45,共14页
A fault tolerant control (FTC) design technique against actuator stuck faults is investigated using integral-type sliding mode control (ISMC) with application to spacecraft attitude maneuvering control system. The... A fault tolerant control (FTC) design technique against actuator stuck faults is investigated using integral-type sliding mode control (ISMC) with application to spacecraft attitude maneuvering control system. The principle of the proposed FTC scheme is to design an integral-type sliding mode attitude controller using on-line parameter adaptive updating law to compensate for the effects of stuck actuators. This adaptive law also provides both the estimates of the system parameters and external disturbances such that a prior knowledge of the spacecraft inertia or boundedness of disturbances is not required. Moreover, by including the integral feedback term, the designed controller can not only tolerate actuator stuck faults, but also compensate the disturbances with constant components. For the synthesis of controller, the fault time, patterns and values are unknown in advance, as motivated from a practical spacecraft control application. Complete stability and performance analysis are presented and illustrative simulation results of application to a spacecraft show that high precise attitude control with zero steady-error is successfully achieved using various scenarios of stuck failures in actuators. 展开更多
关键词 integral sliding mode control attitude maneuvering stuck failure adaptive control SPACECRAFT
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Exponential Stability of Impulsive System via Saturated Sliding Mode Control
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作者 Miaomiao Yu Xiaodi Li 《IEEE/CAA Journal of Automatica Sinica》 2025年第2期469-471,共3页
Dear Editor,This letter presents a class of saturated sliding mode control (SMC)strategy for linear systems subject to impulsive disturbance and input saturation. To ensure the feasibility of proposed SMC under satura... Dear Editor,This letter presents a class of saturated sliding mode control (SMC)strategy for linear systems subject to impulsive disturbance and input saturation. To ensure the feasibility of proposed SMC under saturation, a relationship is established among attraction domain, saturation structure and control gain. 展开更多
关键词 linear systems attraction domain saturated sliding mode control impulsive disturbance saturation structure exponential stability impulsive system
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GPIO-Based Continuous Sliding Mode Control for Networked Control Systems Under Communication Delays With Experiments on Servo Motors
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作者 Kamal Rsetam Zhenwei Cao +1 位作者 Zhihong Man Xian-Ming Zhang 《IEEE/CAA Journal of Automatica Sinica》 2025年第1期99-113,共15页
To handle input and output time delays that commonly exist in many networked control systems(NCSs), a new robust continuous sliding mode control(CSMC) scheme is proposed for the output tracking in uncertain single inp... To handle input and output time delays that commonly exist in many networked control systems(NCSs), a new robust continuous sliding mode control(CSMC) scheme is proposed for the output tracking in uncertain single input-single-output(SISO) networked control systems. This scheme consists of three consecutive steps. First, although the network-induced delay in those systems can be effectively handled by using Pade approximation(PA), the unmatched disturbance cames out as another difficulty in the control design. Second, to actively estimate this unmatched disturbance, a generalized proportional integral observer(GPIO) technique is utilized based on only one measured state. Third, by constructing a new sliding manifold with the aid of the estimated unmatched disturbance and states, a GPIO-based CSMC is synthesized, which is employed to cope with not only matched and unmatched disturbances, but also networkinduced delays. The stability of the entire closed-loop system under the proposed GPIO-based CSMC is detailedly analyzed.The promising tracking efficiency and feasibility of the proposed control methodology are verified through simulations and experiments on Quanser's servo module for motion control under various test conditions. 展开更多
关键词 Continuous sliding mode control(CSMC) generalized proportional integral observer(GPIO) networked control systems(NCSs) pade approximation(PA) TIME-DELAY unsmatched disturbances
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Fixed time integral sliding mode controller and its application to the suppression of chaotic oscillation in power system 被引量:10
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作者 Jiang-Bin Wang Chong-Xin Liu +1 位作者 Yan Wang Guang-Chao Zheng 《Chinese Physics B》 SCIE EI CAS CSCD 2018年第7期234-241,共8页
Chattering phenomenon and singularity are still the main problems that hinder the practical application of sliding mode control. In this paper, a fixed time integral sliding mode controller is designed based on fixed ... Chattering phenomenon and singularity are still the main problems that hinder the practical application of sliding mode control. In this paper, a fixed time integral sliding mode controller is designed based on fixed time stability theory, which ensures precise convergence of the state variables of controlled system, and overcomes the drawback of convergence time growing unboundedly as the initial value increases in finite time controller. It makes the controlled system converge to the control objective within a fixed time bounded by a constant as the initial value grows, and convergence time can be changed by adjusting parameters of controllers properly. Compared with other fixed time controllers, the fixed time integral sliding mode controller proposed in this paper achieves chattering-free control, and integral expression is used to avoid singularity generated by derivation. Finally, the controller is used to stabilize four-order chaotic power system. The results demonstrate that the controller realizes the non-singular chattering-free control of chaotic oscillation in the power system and guarantees the fixed time convergence of state variables, which shows its higher superiority than other finite time controllers. 展开更多
关键词 fixed time stability integral sliding mode control four-order power system chaotic oscillation non-singular chattering-free
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A Position Synchronization Controller for Co-ordinated Links(COOL)Dual Robot Arm Based on Integral Sliding Mode:Design and Experimental Validation 被引量:3
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作者 Sumi Phukan Chitralekha Mahanta 《International Journal of Automation and computing》 EI CSCD 2021年第1期110-123,共14页
In this study,a simple position synchronization control algorithm based on an integral sliding mode is developed for dualarm robotic manipulator systems.A first-order sliding surface is designed using cross-coupling e... In this study,a simple position synchronization control algorithm based on an integral sliding mode is developed for dualarm robotic manipulator systems.A first-order sliding surface is designed using cross-coupling error in order to ensure position synchronization of dual-arm manipulators.The design objective of the proposed controller is to ensure stability as well as to synchronize the movement of both arms while maintaining the trajectory as desired.The integral sliding mode eliminates the reaching phase and guarantees robustness throughout the whole operating period.Additionally,a low pass filter is used to smoothen the discontinuous element and minimize unwanted chattering.Lyapunov stability theory is utilized to prove the asymptotic stability of the controlled system.Simulation studies are performed to validate the proposed controller′s effectiveness.Also,to investigate the possibility of realizing the proposed dynamic control method in practical applications,experiments are conducted on a 14DoF coordinated links(COOL)dual-arm robotic manipulator system.Experimental evidence indicates adequate efficiency in trajectory tracking and guarantees robustness in the presence of parametric uncertainty and external disturbance. 展开更多
关键词 integral sliding mode control position synchronization dual-arm robotic manipulator CHATTERING robust control
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Integral sliding mode control for a class of nonlinear neutral systems with time-varying delays 被引量:2
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作者 楼旭阳 崔宝同 《Chinese Physics B》 SCIE EI CAS CSCD 2008年第12期4434-4439,共6页
This paper focuses on sliding mode control problems for a class of nonlinear neutral systems with time-varying delays. An integral sliding surface is firstly constructed. Then it finds a useful criteria to guarantee t... This paper focuses on sliding mode control problems for a class of nonlinear neutral systems with time-varying delays. An integral sliding surface is firstly constructed. Then it finds a useful criteria to guarantee the global stability for the nonlinear neutral systems with time-varying delays in the specified switching surface, whose condition is formulated as linear matrix inequality. The synthesized sliding mode controller guarantees the reachability of the specified sliding surface. Finally, a numerical simulation validates the effectiveness and feas.ibility of the proposed technique. 展开更多
关键词 neutral systems NONLINEAR linear matrix inequality integral sliding mode control
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Integral sliding mode control of time-delay systems with mismatching uncertainties 被引量:3
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作者 Fu Zhao Yu Liu +1 位作者 Xiuming Yao Baoku Su 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2010年第2期273-280,共8页
A linear matrix inequality(LMI)-based sliding surface design method for integral sliding mode control of uncertain time-delay systems with mismatching uncertainties is proposed.The uncertain time-delay system under co... A linear matrix inequality(LMI)-based sliding surface design method for integral sliding mode control of uncertain time-delay systems with mismatching uncertainties is proposed.The uncertain time-delay system under consideration may have mis-matching norm bounded uncertainties in the state matrix as well as the input matrix,A sufficient condition for the existence of a sliding surface is given to guarantee asymptotic stability of the full order slJdJng mode dynamics.An LMI characterization of the slid-ing surface is given,together with an integral sliding mode control law guaranteeing the existence of a sliding mode from the initial time.Finally,a simulation is given to show the effectiveness of the proposed method. 展开更多
关键词 linear matrix inequality integral sliding mode control uncertain time-delay systems mismatching uncertainties.
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Integral sliding mode control for flexible ball screw drives with matched and mismatched uncertainties and disturbances 被引量:2
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作者 包达飞 汤文成 董亮 《Journal of Central South University》 SCIE EI CAS CSCD 2017年第9期1992-2000,共9页
The design of servo controllers for flexible ball screw drives with matched and mismatched disturbances and uncertainties is focused to improve the tracking performance and bandwidth of ball screw drives.A two degrees... The design of servo controllers for flexible ball screw drives with matched and mismatched disturbances and uncertainties is focused to improve the tracking performance and bandwidth of ball screw drives.A two degrees of freedom mass model is established based on the axial vibration characteristics of the transport ball screw,and the controller of an adaptive integral sliding mode is proposed combining the optimal design of state feedback gain matrix K to restrain the vibration and the matched disturbances and uncertainties.Then for the counteraction of the mismatched disturbances and uncertainties,a nonlinear disturbance observer is also developed.The trajectory tracking performance experiments and bandwidth analysis were conducted on experimental setup with the proposed control method.It is proved that the adaptive integral sliding mode controller has a high tracking performance and bandwidth especially for the axial vibration characteristics model of ball screw drives.And the ball screw tracking accuracy also has a considerable improvement with the application of the proposed nonlinear disturbance observer. 展开更多
关键词 ball screw drives matched and mismatched disturbances and uncertainties axial vibration characteristics adaptive integral sliding mode control nonlinear disturbance observer
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Second-order Sliding Mode Control of DFIG Based Variable Speed Wind Turbine for Maximum Power Point Tracking 被引量:4
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作者 Xiangjie Liu Chengcheng Wang Yaozhen Han 《自动化学报》 EI CSCD 北大核心 2017年第8期1434-1442,共9页
关键词 风力发电机组 滑模控制器 二阶滑模 变速恒频 最大功率点跟踪 双馈感应发电机 李雅普诺夫函数 发电机转子
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Controlling chaos based on a novel intelligent integral terminal sliding mode control in a rod-type plasma torch
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作者 Safa Khari Zahra Rahmani Behrooz Rezaie 《Chinese Physics B》 SCIE EI CAS CSCD 2016年第5期11-22,共12页
An integral terminal sliding mode controller is proposed in order to control chaos in a rod-type plasma torch system.In this method, a new sliding surface is defined based on a combination of the conventional sliding ... An integral terminal sliding mode controller is proposed in order to control chaos in a rod-type plasma torch system.In this method, a new sliding surface is defined based on a combination of the conventional sliding surface in terminal sliding mode control and a nonlinear function of the integral of the system states. It is assumed that the dynamics of a chaotic system are unknown and also the system is exposed to disturbance and unstructured uncertainty. To achieve a chattering-free and high-speed response for such an unknown system, an adaptive neuro-fuzzy inference system is utilized in the next step to approximate the unknown part of the nonlinear dynamics. Then, the proposed integral terminal sliding mode controller stabilizes the approximated system based on Lyapunov's stability theory. In addition, a Bee algorithm is used to select the coefficients of integral terminal sliding mode controller to improve the performance of the proposed method. Simulation results demonstrate the improvement in the response speed, chattering rejection, transient response,and robustness against uncertainties. 展开更多
关键词 CHAOS rod-type plasma torch intelligent integral terminal sliding mode control Bee algorithm
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Adaptive fuzzy integral sliding mode pressure control for cutter feeding system of trench cutter
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作者 田启岩 魏建华 +1 位作者 方锦辉 国凯 《Journal of Central South University》 SCIE EI CAS CSCD 2016年第12期3302-3311,共10页
A nonlinear pressure controller was presented to track desired feeding pressure for the cutter feeding system(CFS) of trench cutter(TC) in the presence of unknown external disturbances.The feeding pressure control of ... A nonlinear pressure controller was presented to track desired feeding pressure for the cutter feeding system(CFS) of trench cutter(TC) in the presence of unknown external disturbances.The feeding pressure control of CFS is subjected to unknown load characteristics of rock or soil; in addition,the geological condition is time-varying.Due to the complex load characteristics of rock or soil,the feeding velocity of TC is related to geological conditions.What is worse,its dynamic model is subjected to uncertainties and its function is unknown.To deal with the particular characteristics of CFS,a novel adaptive fuzzy integral sliding mode control(AFISMC) was designed for feeding pressure control of CFS,which combines the robust characteristics of an integral sliding mode controller and the adaptive adjusting characteristics of an adaptive fuzzy controller.The AFISMC feeding pressure controller is synthesized using the backstepping technique.The stability of the overall closed-loop system consisting of the adaptive fuzzy inference system,integral sliding mode controller and the cutter feeding system is proved using Lyapunov theory.Experiments are conducted on a TC test bench with the AFISMC under different operating conditions.The experimental results demonstrate that the proposed AFISMC feeding pressure controller for CFS gives a superior and robust pressure tracking performance with maximum pressure tracking error within ?0.3 MPa. 展开更多
关键词 electro-hydraulic system cutter feeding system feeding pressure control adaptive fuzzy integral sliding mode control
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Robust integral sliding mode control for uncertain systems with multiple time delays
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作者 Xiaoyu ZHANG Xiangna LI 《控制理论与应用(英文版)》 EI 2010年第2期211-214,共4页
This paper proposes a robust integral sliding mode(RISM)manifold and the corresponding stabilization control law for uncertain systems with multiple time-varying time delays based on the techniques of linear matrix in... This paper proposes a robust integral sliding mode(RISM)manifold and the corresponding stabilization control law for uncertain systems with multiple time-varying time delays based on the techniques of linear matrix inequalities(LMI).The sufficient condition for the existence of the RISM manifold is given in terms of LMI,and then,the sliding mode control(SMC)law that can keep the system state on the RISM manifold from the initial time moment is developed.The efficiency and feasibility of the results are illustrated by a numerical example. 展开更多
关键词 Robust control integral sliding mode Time-delay systems LMI
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