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impulsive control of permanent magnet synchronous motors with parameters uncertainties

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Chinese Physics B 2008年第5期17卷 1678-1684页

作者：李东王时龙张小洪杨丹王慧 College of Mathematics & Physics Science Chongqing University College of Mechanical Engineering Chongqing University College of Software Engineering Chongqing University College of Computer Science Chongqing University

The permanent magnet synchronous motors （PMSMs） may have chaotic behaviours for the uncertain values of parameters or under certain working conditions, which threatens the secure and stable operation of motor-driven. It is important to study methods of controlling or suppressing chaos in PMSMs. In this paper, robust stabilities of PMSM with parameter uncertainties are investigated. After the uncertain matrices which represent the variable system parameters are formulated through matrix analysis, a novel asymptotical stability criterion is established. Some illustrated examples are also given to show the effectiveness of the obtained results.

关键词： permanent magnet synchronous motors impulsive control parameters uncertainties robust stability

impulsive control of nonlinear systems with time-varying delays

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Chinese Physics B 2008年第7期17卷 2377-2387页

作者：于永斌鲍景富张洪斌钟其水廖晓峰虞厥邦 College of Electronic Engineering University of Electronic Science and Technology of China College of Computer Science Chongqing University

A whole impulsive control scheme of nonlinear systems with time-varying delays, which is an extension for impulsive control of nonlinear systems without time delay, is presented in this paper. Utilizing the Lyapunov functions and the impulsive-type comparison principles, we establish a series of different conditions under which impulsively controlled nonlinear systems with time-varying delays are asymptotically stable. Then we estimate upper bounds of impulse interval and time-varying delays for asymptotically stable control. Finally a numerical example is given to illustrate the effectiveness of the method.

关键词： impulsive control time-varying delays impulsive delay systems Lyapunov functions A

impulsive control of unstable neural networks with unbounded time-varying delays

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Science China(Information Sciences) 2018年第1期61卷 219-232页

作者： Xiaodi LI Shiji SONG Jianhong WU School of Mathematics and Statistics Shandong Normal University Institute of Data Science and Technology Shandong Normal University Department of Automation Tsinghua University Department of Mathematics and Statistics York University

This paper considers the impulsive control of unstable neural networks with unbounded timevarying delays, where the time delays to be addressed include the unbounded discrete time-varying delay and unbounded distributed time-varying delay. By employing impulsive control theory and some analysis techniques, several sufficient conditions ensuring μ-stability, including uniform stability,(global) asymptotical stability, and(global) exponential stability, are derived. It is shown that an unstable delay neural network,especially for the case of unbounded time-varying delays, can be stabilized and has μ-stability via proper impulsive control strategies. Three numerical examples and their simulations are presented to demonstrate the effectiveness of the control strategy.

关键词： unstable neural networks impulsive control unbounded discrete time-varying delay unbounded distributed time-varying delay μ-stability

impulsive control for a Takagi-Sugeno fuzzy model with time-delay and its application to chaotic systems

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Chinese Physics B 2009年第9期18卷 3758-3765页

作者：彭世国禹思敏 College of Automation Guangdong University of Technology

A control approach where the fuzzy logic methodology is combined with impulsive control is developed for controlling some time-delay chaotic systems in this paper. We first introduce impulses into each subsystem with delay of the Takagi-Sugeno （TS） fuzzy IF-THEN rules and then present a unified TS impulsive fuzzy model with delay for chaos control. Based on the new model, a simple and unified set of conditions for controlling chaotic systems is derived by the Lyapunov Razumikhin method, and a design procedure for estimating bounds on control matrices is also given. Several numerical examples are presented to illustrate the effectiveness of this method.

关键词： chaotic system TS fuzzy model impulsive control time delay

impulsive control of chaotic systems and its applications in synchronization

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Chinese Physics B 2011年第5期20卷 184-190页

作者：吴波刘洋卢剑权 College of Mathematics Physics and Information EngineeringZhejiang Normal University Department of Mathematics Southeast University Potsdam Institute for Climate Impact Research TelegraphenbergD-14415 PotsdamGermany

In this paper, some novel sufficient conditions for asymptotic stability of impulsive control systems are presented by comparison systems. The results are used to obtain the conditions under which the chaotic systems can be asymptotically controlled to the origin via impulsive control. Compared with some existing results, our results are more relaxed in the sense that the Lyapunov function is required to be nonincreasing only along a subsequence of switchings. Moreover, a larger upper bound of impulsive intervals for stabilization and synchronization is obtained.

关键词： comparison systems impulsive control chaotic systems synchronization

impulsive control OF CHAOTIC ATTRACTORS IN NONLINEAR CHAOTIC SYSTEMS

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Applied Mathematics and Mechanics(English Edition) 2004年第9期25卷 971-976页

作者：马军海任彪陈予恕 Management School Tianjin University Department of Mechanics Tianjin University

Based on the study from both domestic and abroad, an impulsive control scheme on chaotic attractors in one kind of chaotic system is presented.By applying impulsive control theory of the universal equation, the asymptotically stable condition of impulsive control on chaotic attractors in such kind of nonlinear chaotic system has been deduced, and with it, the upper bond of the impulse interval for asymptotically stable control was given. Numerical results are presented, which are considered with important reference value for control of chaotic attractors.

关键词： impulsive control chaotic attractor chaos asymptotically stable

impulsive control FOR THE STABILIZATION AND SYNCHRONIZATION OF LUR'E SYSTEMS

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Applied Mathematics and Mechanics(English Edition) 2004年第3期25卷 322-328页

作者：孙继涛吴启迪 Department of Applied Mathematics Tongji University CIMS Research Center Tongji University

An impulsive control scheme of the Lur' e system and several theorems on stability of impulsive control systems was presented,these theorems were then used to find the conditions under which the Lur' e system can be stabilized by using impulsive control with varying impulsive intervals.The parameters of Lur' e system and impulsive control law are given,a theory of impulsive synchronization of two Lur' e system is also presented. A numerical example is used to verify the theoretical result.

关键词： impulsive control stabilization synchronization Lur'e system

impulsive control of stochastic system under the sense of stochastic asymptotical stability

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Chinese Physics B 2010年第11期19卷 207-211页

作者：牛玉俊马戈 Department of Applied Math Nanyang Institute of Technology

This paper studies the stochastic asymptotical stability of stochastic impulsive differential equations, and establishes a comparison theory to ensure the trivial solution＇s stochastic asymptotical stability. From the comparison theory, it can find out whether the stochastic impulsive differential system is stable just by studying the stability of a deterministic comparison system. As a general application of this theory, it controls the chaos of stochastic Lii system using impulsive control method, and numerical simulations are employed to verify the feasibility of this method.

关键词： stochastic impulsive system stochastic asymptotical stability comparison theory impulsive control

Analysis and Design of Time-Delay impulsive Systems Subject to Actuator Saturation

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IEEE/CAA Journal of Automatica Sinica 2024年第1期11卷 196-204页

作者： Chenhong Zhu Xiuping Han Xiaodi Li IEEE the School of Mathematics and Statistics Shandong Normal UniversityJi'nan 250014China the Center for control and Engineering Computation Shandong Normal UniversityJi'nan 250014China

This paper investigates the exponential stability and performance analysis of nonlinear time-delay impulsive systems subject to actuator saturation. When continuous dynamics is unstable, under some conditions, it is shown that the system can be stabilized by a class of saturated delayed-impulses regardless of the length of input delays. Conversely, when the system is originally stable, it is shown that under some conditions, the system is robust with respect to sufficient small delayed-impulses. Moreover, the design problem of the controller with the goal of obtaining a maximized estimate of the domain of attraction is formulated via a convex optimization problem. Three examples are provided to demonstrate the validity of the main results.

关键词： Delayed impulses impulsive control impulsive disturbance nonlinear systems saturation