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Pure State Feedback Switching Control Based on the Online Estimated State for Stochastic Open Quantum Systems
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作者 Shuang Cong Zhixiang Dong 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2024年第10期2166-2178,共13页
For the n-qubit stochastic open quantum systems,based on the Lyapunov stability theorem and LaSalle’s invariant set principle,a pure state switching control based on on-line estimated state feedback(short for OQST-SF... For the n-qubit stochastic open quantum systems,based on the Lyapunov stability theorem and LaSalle’s invariant set principle,a pure state switching control based on on-line estimated state feedback(short for OQST-SFC)is proposed to realize the state transition the pure state of the target state including eigenstate and superposition state.The proposed switching control consists of a constant control and a control law designed based on the Lyapunov method,in which the Lyapunov function is the state distance of the system.The constant control is used to drive the system state from an initial state to the convergence domain only containing the target state,and a Lyapunov-based control is used to make the state enter the convergence domain and then continue to converge to the target state.At the same time,the continuous weak measurement of quantum system and the quantum state tomography method based on the on-line alternating direction multiplier(QST-OADM)are used to obtain the system information and estimate the quantum state which is used as the input of the quantum system controller.Then,the pure state feedback switching control method based on the on-line estimated state feedback is realized in an n-qubit stochastic open quantum system.The complete derivation process of n-qubit QST-OADM algorithm is given;Through strict theoretical proof and analysis,the convergence conditions to ensure any initial state of the quantum system to converge the target pure state are given.The proposed control method is applied to a 2-qubit stochastic open quantum system for numerical simulation experiments.Four possible different position cases between the initial estimated state and that of the controlled system are studied and discussed,and the performances of the state transition under the corresponding cases are analyzed. 展开更多
关键词 Online state estimation state feedback control stochastic open quantum systems(OQST) switching control
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Mixed H_2/H_∞ State Feedback Attitude Control of Microsatellite Based on Extended LMI Method 被引量:2
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作者 Keke Shi Chuang Liu +1 位作者 Feng Wang Zhaowei Sun 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2016年第5期15-22,共8页
For the appearance of the additive perturbation of controller gain when the controller parameter has minute adjustment at the initial running stage of system,to avoid the adverse effects,this paper investigates the mi... For the appearance of the additive perturbation of controller gain when the controller parameter has minute adjustment at the initial running stage of system,to avoid the adverse effects,this paper investigates the mixed H_2/H_∞ state feedback attitude control problem of microsatellite based on extended LMI method.Firstly,the microsatellite attitude control system is established and transformed into corresponding state space form.Then,without the equivalence restriction of the two Lyapunov variables of H_2 and H∞performance,this paper introduces additional variables to design the mixed H_2/H_∞ control method based on LMI which can also reduce the conservatives.Finally,numerical simulations are analyzed to show that the proposed method can make the satellite stable within 20 s whether there is additive perturbation of the controller gain or not.The comparative analysis of the simulation results between extended LMI method and traditional LMI method also demonstrates the effectiveness and feasibility of the proposed method in this paper. 展开更多
关键词 microsatellite attitude control mixed h2 / h∞ additive perturbationcontrol state feedback control extended LMI method
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Robust State Feedback H_∞Control for Dynamic Biped Robot Based on T-S Fuzzy Model
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作者 HUAI Chuangfeng FANG Yuefa (Department of Mechanical Engineering,Beijing Jiaotong University,Beijing 10044,E-mall: hcf811225@163.com) 《武汉理工大学学报》 CAS CSCD 北大核心 2006年第S3期951-955,共5页
T-S fuzzy model was applied to describe nonlinear system and global fuzzy model was expressed by the form of uncertain system.Based on robust state feedback H_∞control strategy,designed a global asymptotic steady fuz... T-S fuzzy model was applied to describe nonlinear system and global fuzzy model was expressed by the form of uncertain system.Based on robust state feedback H_∞control strategy,designed a global asymptotic steady fuzzy model.This control system can use the experimental input-output data pairs for the biped robot learning and walking with dynamic balance.It is proved by simulation result that robust state feedback H_∞control method based on T-S fuzzy model can effectively restrain the effect of model uncertainties and external disturbance acting on biped robot.From these works,we showed the satisfactory performance of joint tracking without any chattering. 展开更多
关键词 ROBUST h_∞control state feedback T-S FUZZY model BIPED walking robot FUZZY system
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Robust H_∞ Stabilization of Uncertain Linear Time-Delay System with Delayed/Undelayed State Feedback Controllers
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作者 陈万义 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2001年第4期71-76,共6页
This paper focuses on the H∞ controller design for linear systems with time-varying delays and norm-bounded parameter perturbations in the system state and control/disturbance. On the existence of delayed/undelayed f... This paper focuses on the H∞ controller design for linear systems with time-varying delays and norm-bounded parameter perturbations in the system state and control/disturbance. On the existence of delayed/undelayed full state feedback controllers, we present a sufficient condition and give a design method in the form of Riccati equation. The controller can not only stabilize the time-delay system, but also make the H∞ norm of the closed-loop system be less than a given bound. This result practically generalizes the related results in current literature. 展开更多
关键词 Closed loop control systems feedback control Linear control systems Perturbation techniques Riccati equations Robustness (control systems) state feedback System stability Time varying control systems Uncertain systems
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Static Output Feedback H_∞ Controllers Design for Descriptor Linear Systems Based on LMI 被引量:3
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作者 马合保 秦超英 《Chinese Quarterly Journal of Mathematics》 CSCD 2000年第2期57-65,共9页
This paper considers the design problem of static output feedback H ∞ controllers for descriptor linear systems with linear matrix inequality (LMI) approach. Necessary and sufficient conditions for the existence of... This paper considers the design problem of static output feedback H ∞ controllers for descriptor linear systems with linear matrix inequality (LMI) approach. Necessary and sufficient conditions for the existence of a static output feedback H ∞ controller are given in terms of LMIs. Furthermore, the design method of H ∞ controllers is provided using the solutions to the LMIs. 展开更多
关键词 descriptor linear systems static output feedback h control linear matrix inequality.
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Comparative Study of Trajectory Tracking Control for Automated Vehicles via Model Predictive Control and Robust H-infinity State Feedback Control 被引量:13
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作者 Kai Yang Xiaolin Tang +3 位作者 Yechen Qin Yanjun Huang Hong Wang Huayan Pu 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2021年第4期168-181,共14页
A comparative study of model predictive control(MPC)schemes and robust Hstate feedback control(RSC)method for trajectory tracking is proposed in this paper.The main objective of this paper is to compare MPC and RSC co... A comparative study of model predictive control(MPC)schemes and robust Hstate feedback control(RSC)method for trajectory tracking is proposed in this paper.The main objective of this paper is to compare MPC and RSC controllers’performance in tracking predefined trajectory under different scenarios.MPC controller is designed based on the simple longitudinal-yaw-lateral motions of a single-track vehicle with a linear tire,which is an approximation of the more realistic model of a vehicle with double-track motion with a non-linear tire mode.RSC is designed on the basis of the same method as adopted for the MPC controller to achieve a fair comparison.Then,three test cases are built in CarSim-Simulink joint platform.Specifically,the verification test is used to test the tracking accuracy of MPC and RSC controller under well road conditions.Besides,the double lane change test with low road adhesion is designed to find the maximum velocity that both controllers can carry out while guaranteeing stability.Furthermore,an extreme curve test is built where the road adhesion changes suddenly,in order to test the performance of both controllers under extreme conditions.Finally,the advantages and disadvantages of MPC and RSC under different scenarios are also discussed. 展开更多
关键词 Trajectory tracking Automated vehicles Model predictive control Robust h∞state feedback control
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State Feedback Sliding Mode Control without Chattering by Constructing Hurwitz Matrix for AUV Movement 被引量:4
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作者 Huan-Yin Zhou Kai-Zhou Liu Xi-Sheng Feng 《International Journal of Automation and computing》 EI 2011年第2期262-268,共7页
This paper presents a new method to eliminate the chattering of state feedback sliding mode control (SMC) law for the mobile control of an autonomous underwater vehicle (AUV) which is nonlinear and suffers from un... This paper presents a new method to eliminate the chattering of state feedback sliding mode control (SMC) law for the mobile control of an autonomous underwater vehicle (AUV) which is nonlinear and suffers from unknown disturbances system. SMC is a well-known nonlinear system control algorithm for its anti-disturbances capability, while the chattering on switch surface is one stiff question. To dissipate the well-known chattering of SMC, the switching manifold is proposed by presetting a Hurwitz matrix which is deducted from the state feedback matrix. Meanwhile, the best switching surface is achieved by use of eigenvalues of the Hurwitz matrix. The state feedback control parameters are not only applied to control the states of AUV but also connected with coefficients of switching surface. The convergence of the proposed control law is verified by Lyapunov function and the robust character is validated by the Matlab platform of one AUV model. 展开更多
关键词 Autonomous underwater vehicle (AUV) state feedback sliding mode control (SMC) switching manifold hurwitz matrix Matlab platform Lyapunov function.
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H_∞ Synchronization of Chaotic Systems via Delayed Feedback Control 被引量:3
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作者 Li Sheng Hui-Zhong Yang 《International Journal of Automation and computing》 EI 2010年第2期230-235,共6页
The H∞ synchronization problem for a class of delayed chaotic systems with external disturbance is investigated. A novel delayed feedback controller is established under which the chaotic master and slave systems are... The H∞ synchronization problem for a class of delayed chaotic systems with external disturbance is investigated. A novel delayed feedback controller is established under which the chaotic master and slave systems are synchronized with a guaranteed H∞ performance. Based on the Lyapunov stability theory, a delay-dependent condition is derived and formulated in the form of linear matrix inequality (LMI). A numerical simulation is also presented to validate the effectiveness of the developed theoretical results. 展开更多
关键词 Chaotic systems h∞ synchronization delayed feedback control Lyapunov theory linear matrix inequality (LMI).
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ASUBOPTIMAL DESIGN OF H∞DECENTRALIZED STATE FEEDBACK CONTROL FOR INTERCONNEC TED SYSTEMS 被引量:1
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作者 Gui Weihua Wu Min Chen Ning(College of Information Engineering, Central South University ofTechnology, Changsha 410083, China) 《Journal of Central South University》 SCIE EI CAS 1996年第2期56-62,共7页
In the paper, the problem of H∞ decentralized state feedback control for largescale systems is described. An algorithm is proposed which uses the method of a feasible direction matrix. The algorithm only requires the... In the paper, the problem of H∞ decentralized state feedback control for largescale systems is described. An algorithm is proposed which uses the method of a feasible direction matrix. The algorithm only requires the solution of an algebraic Riccati equation (ARE) and makes the H∞norm of the closedloop transfer function matrix from disturbance inputs to controlled outputs less than a given constant which ensure the stability of the overall controlled system at each iteration. The given example shows that the convergence of the algorithm is satisfactory. 展开更多
关键词 largescale SYSTEMS optimal control DECENTRALIZED control h∞ control state feedback iterative methods〖WT5
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Robust H_∞ control for uncertain descriptor systems with state and control delay 被引量:2
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作者 Piao Fengxian Zhang Qingling Ma Xiuzhen 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2006年第3期571-575,共5页
The problem of robust stabilization for uncertain continuous descriptor system with state and control delay is considered. The time-varying parametric uncertainty is assumed to be norm-bounded. The purpose of the robu... The problem of robust stabilization for uncertain continuous descriptor system with state and control delay is considered. The time-varying parametric uncertainty is assumed to be norm-bounded. The purpose of the robust stabilization is to design a memoryless state feedback law such that the resulting closed-loop system is robustly stable A sufficient condition that uncertain continuous descriptor system is robustly stabilizabled by state feedback law is derived in terms of linear matrix inequality (LMI). Finally, a numerical example is provided to demonstrate the application of the proposed method. 展开更多
关键词 robust h∞ control descriptor system DELAY feedback control linear matrix inequality (LMI).
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Finite-Time H Control of Switched Nonlinear Systems under State-Dependent Switching
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作者 Xiaoyue Zhang Yao Wang 《Journal of Applied Mathematics and Physics》 2023年第7期2053-2068,共16页
This paper investigates the finite-time H<sub>∞</sub> control problem of switched nonlinear systems via state-dependent switching and state feedback control. Unlike the existing approach based on time-dep... This paper investigates the finite-time H<sub>∞</sub> control problem of switched nonlinear systems via state-dependent switching and state feedback control. Unlike the existing approach based on time-dependent switching strategy, in which the switching instants must be given in advance, the state-dependent switching strategy is used to design switching signals. Based on multiple Lyapunov-like functions method, several criteria for switched nonlinear systems to be finite-time H<sub>∞</sub> control are derived. Finally, a numerical example with simulation results is provided to show the validity of the conclusions. 展开更多
关键词 Finite-Time h control Switched Nonlinear Systems Multiple Lyapunov-Like Functions state-Dependent Switching
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Acceleration Feedback Enhanced H_∞Disturbance Attenuation Control for a Class of Nonlinear Underactuated Vehicle Systems 被引量:3
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作者 HE Yu-Qing HAN Jian-Da 《自动化学报》 EI CSCD 北大核心 2008年第5期558-564,共7页
在这篇论文,一个概括加速反馈控制(声频抗流圈) 设计方法,命名声频抗流圈提高了 H ∞控制器,为两个被建议完整激活并且在激活的非线性的自治车辆系统下面。声频抗流圈基于已知的动力学作为柔韧的改进被设计到正常控制。首先,以便拒... 在这篇论文,一个概括加速反馈控制(声频抗流圈) 设计方法,命名声频抗流圈提高了 H ∞控制器,为两个被建议完整激活并且在激活的非线性的自治车辆系统下面。声频抗流圈基于已知的动力学作为柔韧的改进被设计到正常控制。首先,以便拒绝不确定性和外部骚乱,线性 prefilter 在新声频抗流圈设计方法被使用在正常声频抗流圈代替高获得。然后,背走算法被用于 AFC 设计在激活的系统下面。两个的分析在有限获得 L2 稳定性显示出的频率领域和输入产量的骚乱变细新控制器设计方法是适用的。最后,模拟关于无人的模型直升飞机的追踪的控制被进行。结果与没有声频抗流圈,追踪的控制获得验证新方法的可行性的那些相比。 展开更多
关键词 干扰弱化 加速反馈控制 非线性h∞控制 自动控制系统
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H_∞ Control for 2-D Discrete State Delayed Systems in the Second FM Model 被引量:3
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作者 XU Jian-Ming YU Li 《自动化学报》 EI CSCD 北大核心 2008年第7期809-813,共5页
这份报纸涉及 H 控制的问题为二维(2-D ) 分离州的延期系统由第二 Fornasini 和 Marchesini (FM ) 描述了州空间当模特儿。为这个 2-D 系统有 H 噪音变细的一个足够的条件以某个线性矩阵不平等(LMI ) 被给。最佳的 H 控制器被解决一个... 这份报纸涉及 H 控制的问题为二维(2-D ) 分离州的延期系统由第二 Fornasini 和 Marchesini (FM ) 描述了州空间当模特儿。为这个 2-D 系统有 H 噪音变细的一个足够的条件以某个线性矩阵不平等(LMI ) 被给。最佳的 H 控制器被解决一个凸的优化问题获得。最后,一个模拟例子被给说明建议结果的有效性。 展开更多
关键词 二维离散系统 控制方法 计算方法 自动化技术 智能系统
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Sliding mode H_∞ control for a class of uncertain nonlinear state-delayed systems 被引量:4
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作者 Wu Ligang Wang Changhong Gao Huijun Zhang Lixian 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2006年第3期576-585,共10页
A new proportional-integral (PI) sliding surface is designed for a class of uncertain nonlinear state-delayed systems. Based on this, an adaptive sliding mode controller (ASMC) is synthesized, which guarantees the... A new proportional-integral (PI) sliding surface is designed for a class of uncertain nonlinear state-delayed systems. Based on this, an adaptive sliding mode controller (ASMC) is synthesized, which guarantees the occurrence of sliding mode even when the system is undergoing parameter uncertainties and external disturbance. The resulting sliding mode has the same order as the original system, so that it becomes easy to solve the H∞ control problem by designing a memoryless H∞ state feedback controller. A delay-dependent sufficient condition is proposed in terms of linear matrix inequalities (LMIs), which guarantees the sliding mode robust asymptotically stable and has a noise attenuation level γ in an H∞ sense. The admissible state feedback controller can be found by solving a sequential minimization problem subject to LMI constraints by applying the cone complementary linearization method. This design scheme combines the strong robustness of the sliding mode control with the H∞ norm performance. A numerical example is given to illustrate the effectiveness of the proposed scheme. 展开更多
关键词 sliding mode control h∞ control NONLINEARITY state-delayed system linear matrix inequality (LMIs)
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Output-feedback Control for a Class of Uncertain Nonlinear Systems with Linearly Unmeasured States Dependent Growth 被引量:10
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作者 SHANG Fang LIU Yun-Gang 《自动化学报》 EI CSCD 北大核心 2009年第3期272-280,共9页
关键词 非线性系统 稳定性 不可测量 计算机控制
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Memory State Feedback Control for Singular Systems with Multiple Internal Incommensurate Constant Point Delays 被引量:2
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作者 JIANG Zhao-Hui GUI Wei-Hua XIE Yong-Fang YANG Chun-Hua 《自动化学报》 EI CSCD 北大核心 2009年第2期174-179,共6页
关键词 时滞依赖 自动化系统 线性连续时间系统 泛函方法
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Delay-dependent H-infinity control for continuous time-delay systems via state feedback
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作者 Xinchun JIA Yibo GAO +1 位作者 Jingmei ZHANG Nanning ZHENG 《控制理论与应用(英文版)》 EI 2007年第3期221-226,共6页
The delay-dependent H-infinity analysis and H-infinity control problems for continuous time-delay systems are studied. By introducing an equality with some free weighting matrices, an improved criterion of delay-depen... The delay-dependent H-infinity analysis and H-infinity control problems for continuous time-delay systems are studied. By introducing an equality with some free weighting matrices, an improved criterion of delay-dependent stability with H-infinity performance for such systems is presented, and a criterion of existence and some design methods of delay-dependent H-infinity controller for such systems are proposed in term of a set of matrix inequalities, which is solved efficiently by an iterative algorithm. Further, the corresponding results for the delay-dependent robust H-infinity analysis and robust H-infinity control problems for continuous time-delay uncertain systems are given. Finally, two numerical examples are given to illustrate the efficiency of the proposed method by comparing with the other existing results. 展开更多
关键词 Time-delay system Delay-dependent stability h-infinity control state feedback LMI approach
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Robust H_∞/LTR State-Feedback Synthesis Method
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作者 翁正新 王广雄 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 1994年第2期30-33,共4页
This paper focuses on the H_ mixed sensitivity problems of the system with input multiplicative uncertainty, and proposes a new robust H_ /LTR synthesis method. The design procedure consists of two steps. First, an H_... This paper focuses on the H_ mixed sensitivity problems of the system with input multiplicative uncertainty, and proposes a new robust H_ /LTR synthesis method. The design procedure consists of two steps. First, an H_ full state feedback control is designed to satisfy the robust stability and performance specifications. Subsequently, the properties of the state feedback are reobtained by designing full state observers. 展开更多
关键词 ss: h_ /LTR control h_ state feedback ROBUST control
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Three-dimensional nonlinear H_2/H_∞ guidance law based upon approach of solving the state feedback Nash balance point
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作者 桑保华 姜长生 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2010年第3期383-388,共6页
Based upon the theory of the nonlinear quadric two-person nonzero-sum differential game,the fact that the time-limited mixed H2/H∞ control problem can be turned into the problem of solving the state feedback Nash bal... Based upon the theory of the nonlinear quadric two-person nonzero-sum differential game,the fact that the time-limited mixed H2/H∞ control problem can be turned into the problem of solving the state feedback Nash balance point is mentioned. Upon this,a theorem about the solution of the state feedback control is given,the Lyapunov stabilization of the nonlinear system under this control is proved,too. At the same time,this solution is used to design the nonlinear H2/H∞ guidance law of the relative motion between the missile and the target in three-dimensional(3D) space. By solving two coupled Hamilton-Jacobi partial differential inequalities(HJPDI),a control with more robust stabilities and more robust performances is obtained. With different H∞ performance indexes,the correlative weighting factors of the control are analytically designed. At last,simulations under different robust performance indexes and under different initial conditions and under the cases of intercepting different maneuvering targets are carried out. All results indicate that the designed law is valid. 展开更多
关键词 nonlinear system mixed h2/h∞ control state feedback Nash balance point two-person nonzero-sum differential game three-dimensional guidance law
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H_∞ Output Feedback Control for Stochastic Systems with Mode-dependent Time-varying Delays and Markovian Jump Parameters
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作者 Xu-Dong Zhao Qing-Shuang Zeng 《International Journal of Automation and computing》 EI 2010年第4期447-454,共8页
This paper deals with the H∞ control problems of Markovian jump systems with mode-dependent time delays. First, considering the mode-dependent time delays, a different delay-dependent H∞ performance condition for Ma... This paper deals with the H∞ control problems of Markovian jump systems with mode-dependent time delays. First, considering the mode-dependent time delays, a different delay-dependent H∞ performance condition for Markovian jump systems is proposed by constructing an improved Lyapunov-Krasovskii function. Based on this new H∞ disturbance attenuation criterion, a full-order dynamic output feedback controller that ensures the exponential mean-square stability and a prescribed H∞ performance level for the resulting closed-loop system is designed. Illustrative numerical examples are provided to demonstrate the effectiveness of the proposed approach. 展开更多
关键词 h∞ performance Markovian jump systems time-varying delay output feedback control linear matrix inequality (LMI)
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