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LQR Discrete Time Control of a Buck Converter Using a Non-Minimal State Space Representation
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作者 Richard Tymerski 《Journal of Power and Energy Engineering》 2025年第1期32-46,共15页
This paper presents an advanced control strategy for DC-DC buck converters utilizing Non-Minimal State Space (NMSS) representation combined with Proportional-Integral-Plus (PIP) control, optimized through Linear Quadr... This paper presents an advanced control strategy for DC-DC buck converters utilizing Non-Minimal State Space (NMSS) representation combined with Proportional-Integral-Plus (PIP) control, optimized through Linear Quadratic Regulator (LQR) design. The proposed approach leverages NMSS to eliminate the need for state observers, enhancing robustness against model mismatch and improving overall system performance. The PIP controller extends traditional PI control by incorporating additional dynamic feedback. Experimental results demonstrate that the NMSS-PIP-LQR controlled buck converter achieves excellent dynamic performance. The design procedure is fully documented, and microcontroller implementation issues are discussed. 展开更多
关键词 DC-DC Buck Converter Non-Minimal State space (NMSS) Proportional-Integral-Plus (PIP) control Linear Quadratic Regulator (LQR) F28069M Microcontroller
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Controlled proximal contractions with an application to a class of integral equations
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作者 Mudasir Younis Haroon Ahmad 《Applied Mathematics(A Journal of Chinese Universities)》 2025年第3期645-665,共21页
In this study,we explore some of the best proximity point results for generalized proximal contractions in the setting of double-controlled metric-type spaces.A non-trivial example is given to elucidate our analysis,a... In this study,we explore some of the best proximity point results for generalized proximal contractions in the setting of double-controlled metric-type spaces.A non-trivial example is given to elucidate our analysis,and some novel results are derived.The discovered results generalize previously known results in the context of a double controlled metric type space environment.This article’s proximity point results are the first of their kind in the realm of controlled metric spaces.To build on the results achieved in this article,we present an application demonstrating the usability of the given results. 展开更多
关键词 integral equation double controlled metric type space proximal contractive mappings coincidence best proximity point
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踝关节损伤康复治疗中Physio Space平衡板运动控制训练的疗效观察
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作者 董卓谦 刘盾 +3 位作者 邵水艳 陈兴康 单吉升 陈涛 《昆明医科大学学报》 2025年第6期133-139,共7页
目的通过前瞻性随机对照研究分析踝关节损伤康复治疗中Physio Space平衡板运动控制训练的应用效果。方法选取2022年5月至2023年5月云南省中医医院96例踝关节损伤患者,随机分为研究组(n=48)和对照组(n=48)。两组均行常规物理治疗,对照组... 目的通过前瞻性随机对照研究分析踝关节损伤康复治疗中Physio Space平衡板运动控制训练的应用效果。方法选取2022年5月至2023年5月云南省中医医院96例踝关节损伤患者,随机分为研究组(n=48)和对照组(n=48)。两组均行常规物理治疗,对照组另行常规康复训练,研究组于对照组基础上增设Physio Space平衡板运动控制训练。比较两组治疗效果、踝关节稳定性[Cumberland踝关节不稳问卷(CAIT)评分]、踝关节活动度(背伸、跖屈活动度)、疼痛程度、患侧肢体平衡能力[X轴平均位移(Mcd)、Y轴平均位移(Msd)评分]及血清炎症-疼痛因子[P物质(SP)、肿瘤坏死因子-α(TNF-α)、白介素-6(IL-6)、神经肽(NPY)]水平。结果研究组治疗优良率(93.75%比79.17%)高于对照组(P<0.05);研究组治疗1周、2周、3周、4周后CAIT评分高于对照组,VAS评分低于对照组(P<0.05);治疗2周、4周后,研究组背伸、跖屈活动度高于对照组(P<0.05);研究组治疗2周、4周后Mcd、Msd评分低于对照组(P<0.05);治疗2周、4周后,研究组血清TNF-α、IL-6、SP、NPY水平低于对照组(P<0.05)。结论踝关节损伤康复治疗中Physio Space平衡板运动控制训练的疗效显著,值得推广应用。 展开更多
关键词 踝关节损伤 康复治疗 Physio space平衡板运动控制训练 踝关节稳定性 踝关节活动度 平衡能力
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Sagittal SLIP-anchored task space control for a monopode robot traversing irregular terrain
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作者 Haitao YU Haibo GAO +1 位作者 Liang DING Zongquan DENG 《Frontiers of Mechanical Engineering》 SCIE CSCD 2020年第2期193-208,共16页
As a well-explored template that captures the essential dynamical behaviors of legged locomotion on sagittal plane,the spring-loaded inverted pendulum(SLIP)model has been extensively employed in both biomechanical stu... As a well-explored template that captures the essential dynamical behaviors of legged locomotion on sagittal plane,the spring-loaded inverted pendulum(SLIP)model has been extensively employed in both biomechanical study and robotics research.Aiming at fully leveraging the merits of the SLIP model to generate the adaptive trajectories of the center of mass(CoM)with maneuverability,this study presents a novel two-layered sagittal SLIP-anchored(SSA)task space control for a monopode robot to deal with terrain irregularity.This work begins with an analytical investigation of sagittal SLIP dynamics by deriving an approximate solution with satisfactory apex prediction accuracy,and a two-layered SSA task space controller is subsequently developed for the monopode robot.The higher layer employs an analytical approximate representation of the sagittal SLIP model to form a deadbeat controller,which generates an adaptive reference trajectory for the CoM.The lower layer enforces the monopode robot to reproduce a generated CoM movement by using a task space controller to transfer the reference CoM commands into joint torques of the multi-degree of freedom monopode robot.Consequently,an adaptive hopping behavior is exhibited by the robot when traversing irregular terrain.Simulation results have demonstrated the effectiveness of the proposed method. 展开更多
关键词 legged robots spring-loaded inverted pendulum task space control apex return map deadbeat control irregular terrain negotiation
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Control Planning Strategy of Urban Ecological Space Under the Background of Stock Renewal:A Case Study of Beautiful Landscape Planning of Yongchuan District,Chongqing
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作者 DONG Lili GAO Ge YU Wenwen 《Journal of Landscape Research》 2020年第3期18-26,共9页
Under the traditional mode of"incremental"development,urban development has bred urban problems such as lack of land resources,unbalanced distribution of public space,over development of land use,etc.The con... Under the traditional mode of"incremental"development,urban development has bred urban problems such as lack of land resources,unbalanced distribution of public space,over development of land use,etc.The concept of"stock renewal"is that the construction and development of a city changes from"extensive"construction to"refined"urban construction and management mode.Taking Yongchuan District’s regulatory detailed planning as an example,based on the concept of stock renewal as the guiding ideology of urban control planning,this study made corresponding strategies for the control planning of Yongchuan District’s mountain,water system,green space system,etc.On the basis of the problems of mountain encroachment,water bank erosion,lack of green space and safeguard mechanism,the protection and utilization planning of mountain,water and green were put forward,and safeguard mechanism in the process of planning and implementation was established,so as to provide specific guidance for the construction of Yongchuan central urban area,with a view to providing reference for the preparation and implementation of relevant regulatory detailed planning. 展开更多
关键词 Stock renewal Sustainable development space control
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Fuzzy adaptive robust control for space robot considering the effect of the gravity 被引量:14
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作者 Qin Li Liu Fucai +1 位作者 Liang Lihuan Gao Jingfang 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2014年第6期1562-1570,共9页
Space robot is assembled and tested in gravity environment, and completes on-orbit service(OOS) in microgravity environment. The kinematic and dynamic characteristic of the robot will change with the variations of g... Space robot is assembled and tested in gravity environment, and completes on-orbit service(OOS) in microgravity environment. The kinematic and dynamic characteristic of the robot will change with the variations of gravity in different working condition. Fully considering the change of kinematic and dynamic models caused by the change of gravity environment, a fuzzy adaptive robust control(FARC) strategy which is adaptive to these model variations is put forward for trajectory tracking control of space robot. A fuzzy algorithm is employed to approximate the nonlinear uncertainties in the model, adaptive laws of the parameters are constructed, and the approximation error is compensated by using a robust control algorithm. The stability of the control system is guaranteed based on the Lyapunov theory and the trajectory tracking control simulation is performed. The simulation results are compared with the proportional plus derivative(PD) controller, and the effectiveness to achieve better trajectory tracking performance under different gravity environment without changing the control parameters and the advantage of the proposed controller are verified. 展开更多
关键词 Fuzzy adaptive Microgravity Robustness space robot Trajectory tracking control
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Research on the principle of space high-precision temperature control system of liquid crystals based Stokes polarimeter 被引量:1
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作者 Xin-Wei Zhang Yang Zhang +2 位作者 Jia-Ben Lin Jun-Feng Hou Yuan-Yong Deng 《Research in Astronomy and Astrophysics》 SCIE CAS CSCD 2021年第1期97-104,共8页
The magnetic field is one of the most important parameters in solar physics,and a polarimeter is the key device to measure the solar magnetic field.Liquid crystals based Stokes polarimeter is a novel technology,and wi... The magnetic field is one of the most important parameters in solar physics,and a polarimeter is the key device to measure the solar magnetic field.Liquid crystals based Stokes polarimeter is a novel technology,and will be applied for magnetic field measurement in the first space-based solar observatory satellite developed by China,Advanced Space-based Solar Observatory.However,the liquid crystals based Stokes polarimeter in space is not a mature technology.Therefore,it is of great scientific significance to study the control method and characteristics of the device.The retardation produced by a liquid crystal variable retarder is sensitive to the temperature,and the retardation changes 0.09°per 0.10℃.The error in polarization measurement caused by this change is 0.016,which affects the accuracy of magnetic field measurement.In order to ensure the stability of its performance,this paper proposes a high-precision temperature control system for liquid crystals based Stokes polarimeter in space.In order to optimize the structure design and temperature control system,the temperature field of liquid crystals based Stokes polarimeter is analyzed by the finite element method,and the influence of light on the temperature field of the liquid crystal variable retarder is analyzed theoretically.By analyzing the principle of highprecision temperature measurement in space,a high-precision temperature measurement circuit based on integrated operational amplifier,programmable amplifier and 12 bit A/D is designed,and a high-precision space temperature control system is developed by applying the integral separation PI temperature control algorithm and PWM driving heating films.The experimental results show that the effect of temperature control is accurate and stable,whenever the liquid crystals based Stokes polarimeter is either in the air or vacuum.The temperature stability is within±0.0150℃,which demonstrates greatly improved stability for the liquid crystals based Stokes polarimeter. 展开更多
关键词 liquid crystals based Stokes polarimeter high-precision temperature measurement space high-precision temperature control temperature field analysis PID control
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Dynamics and de-spin control of massive target by single tethered space tug 被引量:5
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作者 Junjie KANG Zheng H.ZHU +2 位作者 Wei WANG Changqing WANG Aijun LI 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2019年第3期653-659,共7页
This paper investigates the dynamics and de-spin control of a massive target by a single tethered space tug in the post-capture phase. The dynamic model of the tethered system is derived and simplified to a dimensionl... This paper investigates the dynamics and de-spin control of a massive target by a single tethered space tug in the post-capture phase. The dynamic model of the tethered system is derived and simplified to a dimensionless form. Further, a decoupled PD controller is proposed, and the local stability of the controller is analyzed by linearization technique. Parametric studies of the dynamics and de-spin control of a massive target are conducted to characterize the dynamic process of de-spin with the proposed control law. It is shown that the massive target can be de-span by a single and small space tug with limited thrust within finite time. The thrust tangent with the tether de-spins the target while the thrust normal to the tether prevents the tether from winding up the target. The tether length has a positive contribution to the de-spin of a target. The longer tether leads to a faster de-spin process. 展开更多
关键词 De-spin DYNAMICS PD control space tethers Tethered TUG
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A Dual-driven Intelligent Combination Control of Heat Pipe Space Cooling System 被引量:4
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作者 LI Yunze LI Mingmin LEE Kok Meng 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2012年第4期566-574,共9页
Effective thermal control systems are essential for reliable operation of spacecraft.A dual-driven intelligent combination control strategy is proposed to improve the temperate control and heat flux tracking effects.B... Effective thermal control systems are essential for reliable operation of spacecraft.A dual-driven intelligent combination control strategy is proposed to improve the temperate control and heat flux tracking effects.Both temperature regulation and heat flux tracking errors are employed to generate the final control action;their contributions are adaptively adjusted by a fuzzy fusing policy of control actions.To evaluate the control effects,describe a four-nodal mathematical model for analyzing the dynamic characteristics of the controlled heat pipe space cooling system(HP-SCS) consisting of an aluminum-ammonia heat pipe and a variable-emittance micro-electromechanical-system(MEMS) radiator.This dynamical model calculates the mass flow-rate and condensing pressure of the heat pipe working fluid directly from the systemic nodal temperatures,therefore,it is more suitable for control engineering applications.The closed-loop transient performances of four different control schemes have been numerically investigated.The results conclude that the proposed intelligent combination control scheme not only improves the thermal control effects but also benefits the safe operation of HP-SCS. 展开更多
关键词 heat pipe space cooling system dynamic modeling intelligent combination control micro-electromechanical-system
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ROBUST H_∞ DESIGN OF THE ATTITUDE CONTROL/MOMENTUM MANAGEMENT SYSTEM FOR A SPACE STATION 被引量:1
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作者 周凤岐 赵超 周军 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 1999年第4期227-230,共4页
Through input-output decom position of structured param eter uncertainties of the con- trolled plant, the robustcontrolproblem ofspace station attitude system w ith param eteruncertainties is converted to a conventi... Through input-output decom position of structured param eter uncertainties of the con- trolled plant, the robustcontrolproblem ofspace station attitude system w ith param eteruncertainties is converted to a conventionaldisturbance rejection H∞ controller design problem , then a full-state feedback H∞ robustcontrollerisform ulated, w hich can be solved using the Glover-Doyle algorithm . The proposed m ethod w asapplied to the attitude control/m om entum m anagem ent (ACMM) system ofa space station, and tw o kinds of param eter uncertainties w hich appear m ost frequently in space- craftengineering w ere considered. Sim ulation results show ed efficiency ofthe given m ethod. 展开更多
关键词 space station attitude control param eteruncertainty ROBUSTNESS
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Decentralized adaptive sliding mode control of a space robot actuated by control moment gyroscopes 被引量:5
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作者 Jia Yinghong Xu Shijie 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2016年第3期688-703,共16页
An adaptive sliding mode control (ASMC) law is proposed in decentralized scheme for trajectory tracking control of a new concept space robot. Each joint of the system is a free ball joint capable of rotating with th... An adaptive sliding mode control (ASMC) law is proposed in decentralized scheme for trajectory tracking control of a new concept space robot. Each joint of the system is a free ball joint capable of rotating with three degrees of freedom (DOF). A cluster of control moment gyroscopes (CMGs) is mounted on each link and the base to actuate the system. The modified Rodrigues parameters (MRPs) are employed to describe the angular displacements, and the equations of motion are derived using Kane's equations. The controller for each link or the base is designed sep- arately in decentralized scheme. The unknown disturbances, inertia parameter uncertainties and nonlinear uncertainties are classified as a "lumped" matched uncertainty with unknown upper bound, and a continuous sliding mode control (SMC) law is proposed, in which the control gain is tuned by the improved adaptation laws for the upper bound on norm of the uncertainty. A gen- eral amplification function is designed and incorporated in the adaptation laws to reduce the control error without conspicuously increasing the magnitude of the control input. Uniformly ultimate boundedness of the closed loop system is proved by Lyapunov's method. Simulation results based on a three-link system verify the effectiveness of the proposed controller. 展开更多
关键词 Adaptation law Ball joint control moment gyroscopes Sliding mode control space robot Trajectory tracking
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Dynamics and adaptive control of a dual-arm space robot with closed-loop constraints and uncertain inertial parameters 被引量:21
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作者 Ying-Hong Jia Quan Hu Shi-Jie Xu 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2014年第1期112-124,共13页
A dynamics-based adaptive control approach is proposed for a planar dual-arm space robot in the presence of closed-loop constraints and uncertain inertial parameters of the payload. The controller is capable of contro... A dynamics-based adaptive control approach is proposed for a planar dual-arm space robot in the presence of closed-loop constraints and uncertain inertial parameters of the payload. The controller is capable of controlling the po- sition and attitude of both the satellite base and the payload grasped by the manipulator end effectors. The equations of motion in reduced-order form for the constrained system are derived by incorporating the constraint equations in terms of accelerations into Kane's equations of the unconstrained system. Model analysis shows that the resulting equations perfectly meet the requirement of adaptive controller design. Consequently, by using an indirect approach, an adaptive control scheme is proposed to accomplish position/attitude trajectory tracking control with the uncertain parameters be- ing estimated on-line. The actuator redundancy due to the closed-loop constraints is utilized to minimize a weighted norm of the joint torques. Global asymptotic stability is proven by using Lyapunov's method, and simulation results are also presented to demonstrate the effectiveness of the proposed approach. 展开更多
关键词 space robot Dynamics. Adaptive control Closed-loop constraint Parameter uncertainty - Kane's equation
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Joint space compliance control for a hydraulic quadruped robot based on force feedback
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作者 WANG Jun-zheng KE Xian-feng +1 位作者 WANG Shou-kun HE Yu-dong 《Journal of Beijing Institute of Technology》 EI CAS 2016年第3期337-345,共9页
In the realm of quadruped robot locomotion,compliance control is imperative to handle impacts when negotiating unstructured terrains.At the same time,kinematic tracking accuracy should be guaranteed during locomotion.... In the realm of quadruped robot locomotion,compliance control is imperative to handle impacts when negotiating unstructured terrains.At the same time,kinematic tracking accuracy should be guaranteed during locomotion.To meet both demands,ajoint space compliance controller is designed,so that compliance can be achieved in stance phase while position tracking performance can be guaranteed in swing phase.Unlike operational space compliance control,the joint space compliance control method is easy to implement and does not depend on robot dynamics.As for each joint actuator,high performance force control is of great importance for compliance design.Therefore,a nonlinear PI controller based on feedback linearization is proposed for the hydraulic actuator force control.Besides,an outer position loop(compliance loop)is closed for each joint.Experiments are carried out to verify the force controller and compliance of the hydraulic actuator.The robot leg compliance is assessed by a virtual prototyping simulation. 展开更多
关键词 hydraulic quadruped robot IMPACT STIFFNESS joint space compliance control nonlinear controller
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THE ROBUST CONTROL SCHEME FOR FREE-FLOATING SPACE MANIPULATOR TO TRACK THE DESIRED TRAJECTORY IN JOINTSPACE 被引量:6
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作者 Chen Li (Department of Mechanical Engineering, Fuzhou University, Fuzhou 350002, China) Liu Yanzhu (Department of Engineering Mechanics,Shanghai Jiaotong University, Shanghai 200030, China) 《Acta Mechanica Solida Sinica》 SCIE EI 2001年第2期183-188,共6页
The control of a free-floating space manipulator system isdiscussed. With the augmentation approach, the nonlinearparameterization problem of the dynamic equations of the spacemanipulator system is overcome. Based on ... The control of a free-floating space manipulator system isdiscussed. With the augmentation approach, the nonlinearparameterization problem of the dynamic equations of the spacemanipulator system is overcome. Based on the results, the robustcontrol scheme for free-floating space manipulator with uncer- tainpayload parameters to track the desired trajectory in jointspace isproposed, and the global convergence of the tracking is verified byusing the Lyapunov method. 展开更多
关键词 free-floating space maniulator augmentation approach robust control
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Scaling the Microphysics Equations and Analyzing the Variability of Hydrometeor Production Rates in a Controlled Parameter Space
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作者 Chungu Lu Paul Schultz +1 位作者 and Gerald L Browning 《Advances in Atmospheric Sciences》 SCIE CAS CSCD 2002年第4期619-650,共32页
A set of microphysics equations is scaled based on the convective length and velocity scales. Comparisons are made among the dynamical transport and various microphysical processes. From the scaling analysis, it becom... A set of microphysics equations is scaled based on the convective length and velocity scales. Comparisons are made among the dynamical transport and various microphysical processes. From the scaling analysis, it becomes apparent which parameterized microphysical processes present off-scaled influences in the integration of the set of microphysics equations. The variabilities of the parameterized microphysical processes are also studied using the approach of a controlled parameter space. Given macroscopic dynamic and thermodynamic conditions in different regions of convective storms, it is possible to analyze and compare vertical profiles of these processes. Bulk diabatic heating profiles for a cumulus convective updraft and downdraft are also derived from this analysis. From the two different angles, the scale analysis and the controlled-parameter space approach can both provide an insight into and an understanding of microphysics parameterizations. 展开更多
关键词 cloud microphysical parameterization scale analysis controlled parameter space numerical weather prediction
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STUDY ON DYNAMICS, STABILITY AND CONTROL OF MULTI-BODY FLEXIBLE STRUCTURE SYSTEM IN FUNCTIONAL SPACE 被引量:1
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作者 XU Jian-guo(徐建国) +1 位作者 JIA Jun-guo(贾军国) 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2001年第12期1410-1421,共12页
The dynamics, stability and control problem of a kind of infinite dimensional system are studied in the functional space with the method of modern Mathematics. First, the dynamical control model of the distributed par... The dynamics, stability and control problem of a kind of infinite dimensional system are studied in the functional space with the method of modern Mathematics. First, the dynamical control model of the distributed parameter system with multi-body flexible and multi-topological structure was established which has damping, gyroscopic parts and constrained damping. Secondly, the necessary and sufficient condition of controllability and observability, the stability theory and asymptotic property of the system were obtained. These results expand the theory of the field about the dynamics and control of the system with multi-body flexible structure, and have important engineering significance. 展开更多
关键词 multi-body flexible system DYNAMICS STABILITY control functional space
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Power Control Based on State Space Strategies for Grid⁃Oriented Inverters with LCL Filters
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作者 Chunyu Lu Wei Hua Mingjin Hu 《Journal of Harbin Institute of Technology(New Series)》 CAS 2022年第2期1-12,共12页
Through a third⁃order mathematical model of grid⁃oriented LCL⁃type converters,this paper analyzes the complicated dynamic characteristics and resonance problems which may influence the system stability.To realize acti... Through a third⁃order mathematical model of grid⁃oriented LCL⁃type converters,this paper analyzes the complicated dynamic characteristics and resonance problems which may influence the system stability.To realize active damping for LCL filters and improve dynamic performance of current regulators,a state space current PI controller is proposed whose parameters can be tuned based on the polynomial equations approach.An extended state observer is integrated with the regulation scheme,where additional sensors are not necessary in contrast with conventional active damping strategies.Synchronous reference frame PLL(SRF⁃PLL)equipped with filter technology is proposed for grid voltage disturbance suppression.This method is then applied to establish a double⁃closed⁃loop power regulator that demonstrates improved performance compared with other controllers.The simulation results are displayed to illustrate the efficiency of the regulation methods. 展开更多
关键词 LCL⁃type grid⁃oriented converters state space current control SRF⁃PLL closed loop power control
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Fault tolerant control for near space vehicle:a survey and some new results 被引量:8
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作者 Yufei Xu Bin Jiang Zhifeng Gao Ke Zhang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2011年第1期88-94,共7页
A review on fault-tolerant control(FTC) for near space vehicle(NSV) is presented.First,the concept of near space is introduced,the background of NSV is emphasized,and the model characteristics of NSV in faulty cas... A review on fault-tolerant control(FTC) for near space vehicle(NSV) is presented.First,the concept of near space is introduced,the background of NSV is emphasized,and the model characteristics of NSV in faulty case are investigated.Then,a comparison of different existing approaches is briefly carried out,and achievements on the current research in this field are also presented in the view of the practical application.Furthermore,several existing advanced FTC results for nonlinear flight control systems are given.Finally,the recent literature of NSV are presented to provide an overall view of future developments in this area. 展开更多
关键词 near space vehicle(NSV) fault-tolerant control(FTC) adaptive sliding mode.
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STATE SPACE METHODS FOR DECENTRALIZED H_∞ CONTROL
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作者 Wu Min Gut Weihua Chen Ning(Department of Automatic Control Engineering, Central South University of Technology, Changsha, 410083, China) 《Journal of Central South University》 SCIE EI CAS 1994年第1期91-96,共6页
This paper presents state space methods for decentralized Hoe control, which contain two respects: a parametrization approach and an iterative algorithm. For large scale systems with N subsystems, decentralized Hoe c... This paper presents state space methods for decentralized Hoe control, which contain two respects: a parametrization approach and an iterative algorithm. For large scale systems with N subsystems, decentralized Hoe con trollers can be derived by a parametrization result for centralized Her: controllers and designed by an iterative algorithm with structured constraint to the controllers. 展开更多
关键词 DECENTRALIZED control STATE space METHOD H_∞ control
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Quasi Controlled K-Metric Spaces over C^(*)-Algebras with an Application to Stochastic Integral Equations
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作者 Ouafaa Bouftouh Samir Kabbaj +1 位作者 Thabet Abdeljawad Aziz Khan 《Computer Modeling in Engineering & Sciences》 SCIE EI 2023年第6期2649-2663,共15页
Generally,the field of fixed point theory has attracted the attention of researchers in different fields of science and engineering due to its use in proving the existence and uniqueness of solutions of real-world dyn... Generally,the field of fixed point theory has attracted the attention of researchers in different fields of science and engineering due to its use in proving the existence and uniqueness of solutions of real-world dynamic models.C^(∗)-algebra is being continually used to explain a physical system in quantum field theory and statistical mechanics and has subsequently become an important area of research.The concept of a C^(∗)-algebra-valued metric space was introduced in 2014 to generalize the concept of metric space.In fact,It is a generalization by replacing the set of real numbers with a C^(∗)-algebra.After that,this line of research continued,where several fixed point results have been obtained in the framework of C^(∗)-algebra valued metric,aswell as(more general)C^(∗)-algebra-valued b-metric spaces andC^(∗)-algebra-valued extended b-metric spaces.Very recently,based on the concept and properties of C^(∗)-algebras,we have studied the quasi-case of such spaces to give a more general notion of relaxing the triangular inequality in the asymmetric case.In this paper,we first introduce the concept of C^(∗)-algebra-valued quasi-controlledK-metric spaces and prove some fixed point theorems that remain valid in this setting.To support our main results,we also furnish some exampleswhichdemonstrate theutility of ourmainresult.Finally,as an application,we useour results to prove the existence and uniqueness of the solution to a nonlinear stochastic integral equation. 展开更多
关键词 C^(*)-algebra-valued quasi controlled K-metric spaces left convergence right convergence fixed point CONTRACTION
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