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CONTROLLABILITY CANONICAL FORM FOR NONLINEAR CONTROL SYSTEMS 被引量:2
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作者 Li Wenlin and Gao WeibingBeijing Universtiy of Aeronautics and Astronautics 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 1990年第3期204-215,共12页
General nonlinear control systems are studied in this paper with the goal to transform them into the so-called controllability canonteal form via state transformation only. The conditions of transformability are given... General nonlinear control systems are studied in this paper with the goal to transform them into the so-called controllability canonteal form via state transformation only. The conditions of transformability are given for both single input and multiple input cases. Besides, by an algebraic approach the procedure for constructing the state transformation is established. This paper is formulated in the framework of calculus rather than differential geometry approach. 展开更多
关键词 controlLABILITY CANONICAL FORM FOR nonlinear control systems FORM
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ABSOLUTE OBSERVABILITIES OF NONLINEAR CONTROL SYSTEMS AND THEIR NORMAL FORMS
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作者 郑毓蕃 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1993年第1期28-35,共8页
In this paper the concept of absolute observability of nonlinear control systems is advanced.Different from the linear time-invariant version, there are different definitions of absolute observability for nonlinear co... In this paper the concept of absolute observability of nonlinear control systems is advanced.Different from the linear time-invariant version, there are different definitions of absolute observability for nonlinear control systems.Two algorithms for maximal absolutely observable subsystems are given.Correspondingly,there are two relevant normal forms.The relations with the largest controlled invariant distribution contained in kerdh,zero dynamics etc.,are discussed from the view point of maximal absolute observabilities. 展开更多
关键词 ABSOLUTE OBSERVABILITIES OF nonlinear control systems AND THEIR NORMAL FORMS
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Nonlinear adaptive switching control for a class of non-affine nonlinear systems 被引量:2
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作者 Miao Huang Xin Wang Zhenlei Wang 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2016年第9期1243-1251,共9页
An improved nonlinear adaptive switching control method is presented to relax the assumption on the higher order nonlinear terms of a class of discrete-time non-affine nonlinear systems. The proposed control strategy ... An improved nonlinear adaptive switching control method is presented to relax the assumption on the higher order nonlinear terms of a class of discrete-time non-affine nonlinear systems. The proposed control strategy is composed of a linear adaptive controller, a neural network(NN) based nonlinear adaptive controller and a switching mechanism. An incremental model is derived to represent the considered system and an improved robust adaptive law is chosen to update the parameters of the linear adaptive controller. A new performance criterion of the switching mechanism is designed to select the proper controller. Using this control scheme, all the signals in the system are proved to be bounded. Numerical examples verify the effectiveness of the proposed algorithm. 展开更多
关键词 Non-affine nonlinear systems nonlinear adaptive switching control Incremental model
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Finite-time Consensus for Multi-agent Systems via Nonlinear Control Protocols 被引量:1
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作者 Ya-Kun Zhu Xin-Ping Guan Xiao-Yuan Luo 《International Journal of Automation and computing》 EI CSCD 2013年第5期455-462,共8页
This paper investigates the fnite-time consensus problem of multi-agent systems with single and double integrator dynamics,respectively.Some novel nonlinear protocols are constructed for frst-order and second-order le... This paper investigates the fnite-time consensus problem of multi-agent systems with single and double integrator dynamics,respectively.Some novel nonlinear protocols are constructed for frst-order and second-order leader-follower multi-agent systems,respectively.Based on the fnite-time control technique,the graph theory and Lyapunov direct method,some theoretical results are proposed to ensure that the states of all the follower agents can converge to its leader agent s state in fnite time.Finally,some simulation results are presented to illustrate the efectiveness of our theoretical results. 展开更多
关键词 Finite-time consensus multi-agent systems nonlinear control protocol leader-follower single and double integratordynamics
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NN-based Output Tracking for More General Stochastic Nonlinear Systems with Unknown Control Coefficients
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作者 Na Duan Hui-Fang Min 《International Journal of Automation and computing》 EI CSCD 2017年第3期350-359,共10页
This paper considers the output tracking problem for more general classes of stochastic nonlinear systems with unknown control coefficients and driven by noise of unknown covariance. By utilizing the radial basis func... This paper considers the output tracking problem for more general classes of stochastic nonlinear systems with unknown control coefficients and driven by noise of unknown covariance. By utilizing the radial basis function neural network approximation method and backstepping technique, we successfully construct a controller to guarantee the solution process to be bounded in probability.The tracking error signal is 4th-moment semi-globally uniformly ultimately bounded(SGUUB) and can be regulated into a small neighborhood of the origin in probability. A simulation example is given to demonstrate the effectiveness of the control scheme. 展开更多
关键词 Stochastic nonlinear systems unknown control coefficients output tracking neural networks backstepping
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Nonlinear adaptive flight control system:Performance enhancement and validation 被引量:3
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作者 Yue FENG Zonghua SUN +4 位作者 Liaoni WU Yongshun WANG Bin XI Weng Khuen HO Yancheng YOU 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2023年第4期354-365,共12页
The problem of decreasing stability margins in L1 adaptive control systems is discussed and an out-of-loop L1 adaptive control scheme based on Lyapunov’s stability theorem is proposed.This scheme enhances the effecti... The problem of decreasing stability margins in L1 adaptive control systems is discussed and an out-of-loop L1 adaptive control scheme based on Lyapunov’s stability theorem is proposed.This scheme enhances the effectiveness of the adaptation,which ensures that the system has suffi-cient stability margins to achieve the desired performance under parametric uncertainty,additional delays,and actuator faults.The stability of the developed control system is demonstrated through a series of simulations.Compared with an existing control scheme,the constant adjustment of the sta-bility margins by the proposed adaptive scheme allows their range to be extended by a factor of 4–5,bringing the stability margin close to that of variable gain PD control with adaptively scheduled gains.The engineered practicability of adaptive technology is verified.A series of flight tests verify the practicability of the designed adaptive technology.The results of these tests demonstrate the enhanced performance of the proposed control scheme with nonlinear parameter estimations under insufficient stability margins and validate its robustness in the event of actuator failures. 展开更多
关键词 Adaptive control systems control engineering Flight control systems nonlinear control systems Robustness stability
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Combined indirect and direct method for adaptive fuzzy output feedback control of nonlinear system 被引量:2
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作者 Ding Quanxin Chen Haitong +1 位作者 Jiang Changsheng Chen Zongji 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2007年第1期120-124,共5页
A novel control method for a general class of nonlinear systems using fuzzy logic systems (FLSs) is presertted. Indirect and direct methods are combined to design the adaptive fuzzy output feedback controller and a ... A novel control method for a general class of nonlinear systems using fuzzy logic systems (FLSs) is presertted. Indirect and direct methods are combined to design the adaptive fuzzy output feedback controller and a high-gain observer is used to estimate the derivatives of the system output. The closed-loop system is proven to be semiglobally uniformly ultimately bounded. In addition, it is shown that if the approximation accuracy of the fuzzy logic system is high enough and the observer gain is chosen sufficiently large, an arbitrarily small tracking error can be achieved. Simulation results verify the effectiveness of the newly designed scheme and the theoretical discussion. 展开更多
关键词 nonlinear control systems Non-affine Combined indirect and direct method Adaptive fuzzy controller High-gain observer (HGO)
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An Energy-based Nonlinear Coupling Control for Offshore Ship-mounted Cranes 被引量:2
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作者 Yu-Zhe Qian Yong-Chun Fang Tong Yang 《International Journal of Automation and computing》 EI CSCD 2018年第5期570-581,共12页
This paper proposes a novel nonlinear energy-based coupling control for an underactuated offshore ship-mounted crane,which guarantees both precise trolley positioning and payload swing suppressing performances under e... This paper proposes a novel nonlinear energy-based coupling control for an underactuated offshore ship-mounted crane,which guarantees both precise trolley positioning and payload swing suppressing performances under external sea wave disturbance. In addition to having such typical nonlinear underactuated property, as it is well known, an offshore ship-mounted crane also suffers from much unexpected persistent disturbances induced by sea waves or currents, which, essentially different from an overhead crane fixed on land, cause much difficulty in modeling and controller design. Inspired by the desire to achieve appropriate control performance against those challenging factors, in this paper, through carefully analyzing the inherent mechanism of the nonlinear dynamics, we first construct a new composite signal to enhance the coupling behavior of the trolley motion as well as the payload swing in the presence of ship′s roll motion disturbance. Based on which, an energy-based coupling control law is presented to achieve asymptotic stability of the crane control system′s equilibrium point. Without any linearization of the complex nonlinear dynamics, unlike traditional feedback controllers, the proposed control law takes a much simpler structure independent of the system parameters. To support the theoretical derivations and to further verify the actual control performance, Lyapunov-based mathematical analysis as well as numerical simulation/experimental results are carried out, which clarify the feasibility and superior performance of the proposed method over complicated disturbances. 展开更多
关键词 Energy-based control offshore ship-mounted cranes Lyapunov methods UNDERACTUATED nonlinear control systems.
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Hierarchical Control for Large-Scale Systems
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作者 钱富才 李琦 刘丁 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2001年第4期41-45,共5页
A class of large-scale systems, where the overall objective function is a nonlinear function of performance index of each subsystem, is investigated in this paper. This type of large-scale control problem is non-separ... A class of large-scale systems, where the overall objective function is a nonlinear function of performance index of each subsystem, is investigated in this paper. This type of large-scale control problem is non-separable in the sense of conventional hierarchical control. Hierarchical control is extended in the paper to large-scale non-separable control problems, where multiobjective optimization is used as separation strategy. The large-scale non-separable control problem is embedded, under certain conditions, into a family of the weighted Lagrangian formulation. The weighted Lagrangian formulation is separable with respect to subsystems and can be effectively solved using the interaction balance approach at the two lower levels in the proposed three-level solution structure. At the third level, the weighting vector for the weighted Lagrangian formulation is adjusted iteratively to search the optimal weighting vector with which the optimal of the original large-scale non-separable control problem is obtained. Theoretical base of the algorithm is established. Simulation shows that the algorithm is effective. 展开更多
关键词 ALGORITHMS Computer simulation Hierarchical systems nonlinear control systems OPTIMIZATION Problem solving
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A data-driven control method for ground locomotion on sloped terrain of a hybrid aerial-ground robot
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作者 Xinhang Xu Yizhuo Yang +3 位作者 Muqing Cao Thien-Minh Nguyen Kun Cao Lihua Xie 《Journal of Automation and Intelligence》 2024年第4期219-229,共11页
In this work,we present a data-driven solution for the attitude control of DoubleBee on slopes.DoubleBee is a novel hybrid aerial-ground robot with two rotors and two active wheels.Inspired by the physics modeling of ... In this work,we present a data-driven solution for the attitude control of DoubleBee on slopes.DoubleBee is a novel hybrid aerial-ground robot with two rotors and two active wheels.Inspired by the physics modeling of the system,we add a channel-separated attention head to a deep ReLU neural network to predict disturbances from ground effects,motor torques and rotation axis shift.The proposed neural network is Lipschitz continuous,has fewer parameters and performs better for disturbance estimation than the baseline deep ReLU neural network.Then,we design a sliding mode controller using these predictions and establish its input-to-state stability and error bounds.Experiments show improvements of the proposed neural network in training speed and robustness over a baseline ReLU network,and a 40%reduction in tracking error compared to a baseline PID controller. 展开更多
关键词 Data-driven control Hybrid aerial-ground robot Adaptive control Machine learning Robotics nonlinear control systems
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Robust fault detection for a class of nonlinear network control system with communication delay 被引量:5
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作者 Ai Qiangyu Liu Chunsheng Jiang Bin 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2009年第5期1024-1030,共7页
To investigate a class of nonlinear network control system, a robust fault diagnosis method is presented based on the robust state observer. To access the objective that the designed robust filter is maximally toleran... To investigate a class of nonlinear network control system, a robust fault diagnosis method is presented based on the robust state observer. To access the objective that the designed robust filter is maximally tolerant to disturbances and sensitive to fault, the robustness and stability properties of the fault diagnosis scheme are established rigorously. Using the residual vector, a fault tolerant controller is established in order to guarantee the stability of the closed-loop system, and the controller law can be obtained by solving a set of linear matrix inequalities. Then, some relevant sufficient conditions for the existence of a solution are given by applying Lyapunov stability theory. Finally, a simulation example is performed to show the effectiveness of the proposed approach. 展开更多
关键词 nonlinear network control systems robust fault detection OBSERVER linear matrix inequality.
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Robust Adaptive Actuator Failure Compensation for a Class of Uncertain Nonlinear Systems 被引量:3
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作者 Mahnaz Hashemi Javad Askari +1 位作者 Jafar Ghaisari Marzieh Kamali 《International Journal of Automation and computing》 EI CSCD 2017年第6期719-728,共10页
This paper presents a robust adaptive state feedback control scheme for a class of parametric-strict-feedback nonlinear systems in the presence of time varying actuator failures. The designed adaptive controller compe... This paper presents a robust adaptive state feedback control scheme for a class of parametric-strict-feedback nonlinear systems in the presence of time varying actuator failures. The designed adaptive controller compensates a general class of actuator failures without any need for explicit fault detection. The parameters, times, and patterns of the considered failures are completely unknown. The proposed controller is constructed based on a backstepping design method. The global boundedness of all the closed-loop signals is guaranteed and the tracking error is proved to converge to a small neighborhood of the origin. The proposed approach is employed for a two-axis positioning stage system as well as an aircraft wing system. The simulation results show the correctness and effectiveness of the proposed robust adaptive actuator failure compensation approach. 展开更多
关键词 Time varying actuator failure nonlinear systems robust adaptive control compensation backstepping design method
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Robust Controller Design for Satellite Attitude Tracking System 被引量:6
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作者 李琳琳 杨国军 赵长安 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2001年第2期94-99,共7页
The attitude tracking control problem for a satellite with parameter uncertainties and external disturbances is considered in this paper. For this class of multi-input multi-output uncertain nonlinear systems, a desig... The attitude tracking control problem for a satellite with parameter uncertainties and external disturbances is considered in this paper. For this class of multi-input multi-output uncertain nonlinear systems, a design method of robust output tracking controllers is proposed based on the upper-bounds of the uncertainties. Using the input/output feedback linearization approach and Lyapunov method, a control law is designed, which guarantees that the system output exponentially tracks the given desired output. The proposed controller is easy to compute and complement. Simulation results show that, in the closed-loop system, precise attitude control is accomplished in spite of the uncertainties in the system. 展开更多
关键词 Closed loop control systems Computer simulation LINEARIZATION Lyapunov methods nonlinear control systems Robustness (control systems) Tracking (position) Uncertain systems
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Terminal sliding mode control based on super-twisting algorithm 被引量:13
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作者 Zhanshan Zhao Hongru Gu +1 位作者 Jing Zhang Gang Ding 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2017年第1期145-150,共6页
An improved non-singular terminal sliding mode control based on the super-twisting algorithm is proposed for a class of second-order uncertain nonlinear systems. This method can effectively avoid the singularity probl... An improved non-singular terminal sliding mode control based on the super-twisting algorithm is proposed for a class of second-order uncertain nonlinear systems. This method can effectively avoid the singularity problem and obviously reduce the chattering phenomenon. The stability of the proposed procedure is proven to be finite-time convergence using the Lyapunov theory against uncertain unmodeled dynamic and external disturbances. An example is given to show the proposed improved non-singular terminal sliding mode control (SMC) law effectively. © 1990-2011 Beijing Institute of Aerospace Information. 展开更多
关键词 nonlinear control systems nonlinear systems
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Robust Attitude Control for Reusable Launch Vehicles Based on Fractional Calculus and Pigeon-inspired Optimization 被引量:5
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作者 Qiang Xue Haibin Duan 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2017年第1期89-97,共9页
In this paper, a robust attitude control system based on fractional order sliding mode control and dynamic inversion approach is presented for the reusable launch vehicle RLV during the reentry phase. By introducing t... In this paper, a robust attitude control system based on fractional order sliding mode control and dynamic inversion approach is presented for the reusable launch vehicle RLV during the reentry phase. By introducing the fractional order sliding surface to replace the integer order one, we design robust outer loop controller to compensate the error introduced by inner loop controller designed by dynamic inversion approach. To take the uncertainties of aerodynamic parameters into account, stochastic robustness design approach based on the Monte Carlo simulation and Pigeon-inspired optimization is established to increase the robustness of the controller. Some simulation results are given out which indicate the reliability and effectiveness of the attitude control system. © 2014 Chinese Association of Automation. 展开更多
关键词 Attitude control Calculations Communication satellites control systems Intelligent systems Launch vehicles LAUNCHING Monte Carlo methods nonlinear control systems REUSABILITY Reusable rockets Robustness (control systems) Sliding mode control Stochastic systems Vehicles
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Neuro-Optimal Guidance Control for Lunar Soft Landing 被引量:3
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作者 Wang, Dayi Li, Tieshou +1 位作者 Yan, Hui Ma, Xingrui 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 1999年第3期22-31,共10页
Returning to moon has become a top topic recently. Many studies have shown that soft landing is a challenging problem in lunar exploration. The lunar soft landing in this paper begins from a 100 km circular lunar park... Returning to moon has become a top topic recently. Many studies have shown that soft landing is a challenging problem in lunar exploration. The lunar soft landing in this paper begins from a 100 km circular lunar parking orbit. Once the landing area has been selected and it is time to deorbit for landing, a ΔV burn of 19.4 m/s is performed to establish a 100×15 km elliptical orbit. At perilune, the landing jets are ignited, and a propulsive landing is performed. A guidance and control scheme for lunar soft landing is proposed in the paper, which combines optimal theory with nonlinear neuro-control. Basically, an optimal nonlinear control law based on artificial neural network is presented, on the basis of the optimum trajectory from perilune to lunar surface in terms of Pontryagin's maximum principle according to the terminal boundary conditions and performance index. Therefore some optimal control laws can be carried out in the soft landing system due to the nonlinear mapping function of the neural network. The feasibility and validity of the control laws are verified in a simulation experiment. 展开更多
关键词 Boundary conditions Computer simulation control system analysis control system synthesis Functions Lunar landing Lunar missions Maximum principle Neural networks nonlinear control systems Optimal control systems ORBITS
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Dynamics,stability,and control of a four-cable mount system for wind tunnel test
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作者 Zhenjun ZHAO Zhanwei ZHAO +3 位作者 Yu YAN Kaichun ZENG Xiaojun SHI Han WU 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2023年第2期58-75,共18页
A four-cable mount system is proposed for full-model wind tunnel flutter tests,which may adjust the pitch and roll attitude of the aircraft scaled model and ensure that the model is not subjected to cable tension.The ... A four-cable mount system is proposed for full-model wind tunnel flutter tests,which may adjust the pitch and roll attitude of the aircraft scaled model and ensure that the model is not subjected to cable tension.The system provides sufficient support to simulate the free flight of the aircraft by applying appropriate spring stiffness and cable tensions.The proposed fourcable mount system is modeled based on Lagrange mechanics,and its dynamics equations consider aerodynamic effects.The singularity of the system and its bifurcation characteristics under flow conditions are analysed to determine the supercritical bifurcation phenomenon for different tension levels and distances from the front suspension point to the mass centre of the model.The mathematical expressions of the longitudinal flight stability of the cable mount system are derived by linearising the system dynamics equations using small perturbations.The influence of the cable tension,spring stiffness,suspension point position,and other factors on the flight stability of the aircraft are analysed.A feedforward control algorithm is proposed to minimize the total elastic potential energy of the system.The results show that the model is in the level flight state when the elastic potential energy of the four-cable mount system is minimized.A feedback control design method is proposed based on the Lyapunov stability theory to derive the closed-loop stability conditions.The system dynamics model that includes the aircraft rigid body model,flexible cables,pulleys,springs,aerodynamic model,and servo motor control is established using the flexible multibody dynamics method.A multibody dynamics solver and Simulink are used to simulate the attitude adjustment of the model in the wind tunnel and verify the supercritical bifurcation characteristics of the system and the effectiveness of the feedback and feedforward control. 展开更多
关键词 BIFURCATION CABLE Flight dynamics FLUTTER nonlinear control systems Wind tunnels
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NECESSARY AND SUFFICIENT CRITERIA FOR ABSOLUTE STABILITY OF THE DIRECT CONTROL SYSTEM
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作者 张继业 舒仲周 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1994年第3期259-266,共8页
Some necessary and sufficient conditions for absolute stability of several classes of direct control system were given, and two simplified forms of the control systems obtained twice were discussed. The results improv... Some necessary and sufficient conditions for absolute stability of several classes of direct control system were given, and two simplified forms of the control systems obtained twice were discussed. The results improve those of previous works. 展开更多
关键词 nonlinear control systems Stability criteria System stability
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Adaptive security control of time-varying constraints nonlinear cyber-physical systems with false data injection attacks
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作者 Yue-Ming Wang Yuan-Xin Li 《Journal of Control and Decision》 EI 2024年第1期50-59,共10页
In this article,an adaptive security control scheme is presented for cyber-physical systems(CPSs)suffering from false data injection(FDI)attacks and time-varying state constraints.Firstly,an adaptive bound estimation ... In this article,an adaptive security control scheme is presented for cyber-physical systems(CPSs)suffering from false data injection(FDI)attacks and time-varying state constraints.Firstly,an adaptive bound estimation mechanism is introduced in the backstepping control design to mitigate the effect of FDI attacks.Secondly,to solve the unknown sign time-varying statefeedback gains aroused by the FDI attacks,a type of Nussbaum function is employed in the adaptive security control.Then,by constructing a barrier Lyapunov function,it can be ensured that all signals of controlled system are bounded and the time-varying state constraints are not transgressed.Finally,the provided simulation examples demonstrate the effectiveness of the proposed controller. 展开更多
关键词 Neural networks backstepping technology false data injection(FDI)attacks nonlinear cyber-physical systems controls
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Observer-based adaptive sliding mode backstepping output-feedback DSC for spin-stabilized canard-controlled projectiles 被引量:5
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作者 Yuanchuan SHEN Jianqiao YU +3 位作者 Guanchen LUO Xiaolin AI Zhenyue JIA Fangzheng CHEN 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2017年第3期1115-1126,共12页
This article presents a complete nonlinear controller design for a class of spin-stabilized canard-controlled projectiles.Uniformly ultimate boundedness and tracking are achieved,exploiting a heavily coupled,bounded u... This article presents a complete nonlinear controller design for a class of spin-stabilized canard-controlled projectiles.Uniformly ultimate boundedness and tracking are achieved,exploiting a heavily coupled,bounded uncertain and highly nonlinear model of longitudinal and lateral dynamics.In order to estimate unmeasurable states,an observer is proposed for an augmented multiple-input-multiple-output(MIMO) nonlinear system with an adaptive sliding mode term against the disturbances.Under the frame of a backstepping design,an adaptive sliding mode output-feedback dynamic surface control(DSC) approach is derived recursively by virtue of the estimated states.The DSC technique is adopted to overcome the problem of ‘‘explosion of complexity" and relieve the stress of the guidance loop.It is proven that all signals of the MIMO closed-loop system,including the observer and controller,are uniformly ultimately bounded,and the tracking errors converge to an arbitrarily small neighborhood of the origin.Simulation results for the observer and controller are provided to illustrate the feasibility and effectiveness of the proposed approach. 展开更多
关键词 Backstepping Dynamic surface control technique nonlinear systems Observers Sliding mode control Spin-stabilized canard controlled projectiles
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