混沌系统脉冲控制及其Matlab仿真

研究Lü混沌系统的脉冲鲁棒镇定问题,得到其脉冲鲁棒镇定的充分条件,给出相应的脉冲控制律.通过应用Matlab中Simulink工具箱对Lü混沌系统进行仿真分析,说明脉冲控制是有效的镇定受扰动混沌系统的方法.     

应用脉冲控制方法鲁棒镇定混沌鲁里叶系统

研究混沌鲁里叶系统的鲁棒镇定问题.利用李雅普诺夫函数以及脉冲控制技术使得受不确定扰动的混沌鲁里叶系统渐近镇定到平衡点,并给出相应的充分条件;最后,给出数值示例说明得到的脉冲控制律可以有效镇定混沌鲁里叶系统.     

一类开关切换系统的输出反馈镇定

对一类子系统为线性的开关切换系统进行观测器设计，并给出系统动态输出反馈可镇定的充分条件。在所设计的观测器基础上，以系统状态的观测值为依据设计各子控制器和切换方案，使整个闭环系统是指数渐近稳定的。对于切换时间间隔受限制的情况，给出了相应的动态输出反馈可镇定条件和镇定控制方案。实例仿真结果表明，所给出的设计方案是可行的。     

一类含有输入时滞的不确定切换系统的鲁棒指数镇定

针对一类含有输入时滞的不确定切换系统,讨论了鲁棒指数镇定问题,提出了可行的切换控制器和切换信号的设计方法．首先,运用还原法将具有时滞的切换系统转化为无时滞的切换系统;然后,基于线性矩阵不等式,给出了系统在切换控制器和切换信号作用下鲁棒指数可镇定的充分条件,并利用多Ｌｙａｐｕｎｏｖ函数方法给出了定理的详细证明;最后,利用数值仿真例子验证了该方法的有效性．     

一类时变不确定脉冲系统鲁棒H∞指数镇定

考虑一类具有范数有界时变不确定的脉冲系统鲁棒H∞指数镇定问题.基于Riccati不等式方法,得到该闭环系统鲁棒H指数稳定的充分条件并给出可镇定该类脉冲系统的线性时不变状态反馈控制律并且保证H∞性能.最后,给出数值示例说明定理的有效性.     

一类单输入线性切换系统的可镇定性研究

考虑一类单输入线性切换系统的可镇定性问题，利用变结构控制对系统进行降维．通过对系统滑动模态的研究，得出了系统一致可镇定的充分条件和系统存在容许镇定策略的充分条件．给出了具体的容许镇定策略集合，并对二阶切换系统给出了详细的容许镇定策略．仿真实例验证了所提出结论的有效性．     

一类含有输入时滞的不确定切换系统的鲁棒指数镇定

针对一类含有输入时滞的不确定切换系统,讨论了鲁棒指数镇定问题,提出了可行的切换控制器和切换信号的设计方法．首先,运用还原法将具有时滞的切换系统转化为无时滞的切换系统;然后,基于线性矩阵不等式,给出了系统在切换控制器和切换信号作用下鲁棒指数可镇定的充分条件,并利用多Ｌｙａｐｕｎｏｖ函数方法给出了定理的详细证明;最后,利用数值仿真例子验证了该方法的有效性．

     

线性不确定时滞系统混杂反馈H ∞鲁棒镇定

利用混杂反馈控制策略研究一类线性不确定时滞系统H∞鲁棒镇定问题．分别利用单Lyapunov函数方法和多Lyapunov函数方法给出了控制器的两种切换方案，这两种方案都能保证线性不确定时滞系统的镇定和H∞扰动衰减度，并由两个耦合的线性矩阵不等式的解给出了两个静态状态反馈H∞控制器的设计．     

一类非线性离散切换系统基于观测器的指数镇定

对一类离散非线性切换系统, 考虑了基于观测器的指数镇定问题. 借助微分中值定理(DMVT), 将非线性切换系统转化为线性参数(LPV)切换系统. 当状态变量不完全可获得时, 基于多Lyapunov函数方法, 给出系统在基于观测器的输出反馈控制器下指数镇定的充分条件. 所设计的滞后切换规则能够避免产生滑动模态. 并且将结果推广到系统方程含有不确定性的情况. 最后, 仿真例子说明了设计方法的有效性.     

具有时滞脉冲的线性随机时滞系统的均方指数稳定

本文研究了具有时滞脉冲的线性随机时滞系统的稳定性问题,基于Lyapunov函数和Razumikhin技巧,针对具有镇定型脉冲和反镇定型脉冲的线性随机时滞系统分别建立了系统均方指数稳定的充分条件,最后给出两个数值例子论证结果的有效性.     

Exponential stability of switched systems with imp ulsive effect

The exponential stability of a class of switched systems containing stable and unstable subsystems with impulsive effect is analyzed by using the matrix measure concept and the average dwell- time approach. It is shown that if appropriately a large amount of the average dwell- time and the ratio of the total activation time of the subsystems with negative matrix measure to the total activation time of the subsystems with nonnegative matrix measure is chosen , the exponential stability of a desired degree is guaranteed. Using the proposed switching scheme ,we studied the robust exponential stability for a class of switched systems with impulsive effect and structure perturbations. Simulations validate the main results.     

Exponential stability of switched systems with impulsive effect

The exponential stability of a class of switched systems containing stable and unstable subsystems with impulsive effect is analyzed by using the matrix measure concept and the average dwell-time approach. It is shown that if appropriately a large amount of the average dwell-time and the ratio of the total activation time of the subsystems with negative matrix measure to the total activation time of the subsystems with nonnegative matrix measure is chosen, the exponential stability of a desired degree is guaranteed. Using the proposed switching scheme, we studied the robust exponential stability for a class of switched systems with impulsive effect and structure perturbations. Simulations validate the main results.     

Exponential stability of nonlinear impulsive switched systems with stable and unstable subsystems

Exponential stability and robust exponential stability relating to switched systems consisting of stable and unstable nonlinear subsystems are considered in this study. At each switching time instant, the impulsive increments which are nonlinear functions of the states are extended from switched linear systems to switched nonlinear systems. Using the average dwell time method and piecewise Lyapunov function approach, when the total active time of unstable subsystems compared to the total active time of stable subsystems is less than a certain proportion, the exponential stability of the switched system is guaranteed. The switching law is designed which includes the average dwell time of the switched system. Switched systems with uncertainties are also studied. Sufficient conditions of the exponential stability and robust exponential stability are provided for switched nonlinear systems. Finally, simulations show the effectiveness of the result.     

Finite-time annular domain stability of impulsive switched systems: mode-dependent parameter approach

This paper investigates the finite-time stability of impulsive switched systems. By applying mode-dependent parameter approach and average impulsive switched interval technique, the conditions that guarantee the finite-time annular domain stability and finite-time annular domain boundedness for general linear and nonlinear impulsive switched systems are established. Meanwhile, the superiority of mode-dependent parameter approach over common parameter approach is analysed. Also, we consider the effect of different impulsive strengths and draw a less conservative conclusion. Moreover, we extend the conclusion from nonlinear impulsive switched systems to linear impulsive switched systems, and a new sufficient condition for state feedback controllers is proposed on the basis of coupled matrix inequalities. Furthermore, for systems containing external disturbance, we obtain a sufficient condition of finite-time annular domain boundedness. Finally, we present two examples to illustrate the effectiveness of the results.     

基于脉冲微分系统模型的有损网络控制系统研究

针对闭环网络控制系统,在考虑网络数据传输可能发生丢包的情况下,提出了一类切换系统模型,并在此基础上导出了一类脉冲微分系统模型.从数学上严格分析了该模型的合理性,并利用驻留时间的概念得到了此系统模型的稳定性条件,进一步研究了能够忍受一定程度的数据丢包的稳定化控制器设计问题.最后给出了一个具体示例.     

Neural networks stabilization and disturbance attenuation for nonlinear switched impulsive systems

In this paper, we address the problem of neural networks (NNs) stabilization and disturbance rejection for a class of nonlinear switched impulsive systems. An adaptive NN feedback control scheme and an impulsive controller for output tracking error disturbance attenuation of nonlinear switched impulsive systems are given under all admissible switched strategy based on NN. The NN is used to compensate for the nonlinear uncertainties of switched impulsive systems, and the approximation error of NN is introduced to the adaptive law in order to improve the tracking attenuation quality of the switched impulsive systems. Impulsive controller is designed to attenuate effect of switching impulse. Under all admissible switching law, impulsive controller and adaptive NN feedback controller can guarantee asymptotic stability of tracking error and improve disturbance attenuation level of tracking error for the overall nonlinear switched impulsive system. Finally, a numerical example is given to demonstrate the effectiveness of the proposed control and stabilization methods.     

On hybrid impulsive and switching systems and application to nonlinear control

In this note, a new class of hybrid impulsive and switching models is introduced and their asymptotic stability properties are investigated. Using switched Lyapunov functions, some new general criteria for exponential stability and asymptotic stability with arbitrary and conditioned impulsive switching are established. In addition, a new hybrid impulsive and switching control strategy for nonlinear systems is developed. A typical example, the unified chaotic system, is given to illustrate the theoretical results.     

Mean square exponential stability analysis of impulsive stochastic switched systems with mixed delays

In this paper, a class of impulsive stochastic switched systems with mixed delays is considered. On the basis of some integro-differential inequalities and stochastic analysis techniques, some general criteria for mean square exponential stability are obtained. An example is given to illustrate the theory.     

具有脉冲作用的切换线性广义系统的稳定性

本文引入一类新的系统模型—具有脉冲作用的切换线性广义系统. 应用驻留时间(Dwell time)方法和平均驻留时间(Average dwell time)方法研究其稳定性问题, 并给出系统指数稳定性的充分条件. 证明了当平均驻留时间足够大且重设律是允许的, 那么系统是指数稳定的. 利用广义系统的受限等价性质, 具体给出允许的重设律的设计方法. 数值例子说明本文方法的有效性.     

On singular hybrid switched and impulsive systems

In this work, the problem of stability analysis for a class of singular hybrid switched and impulsive system (HSIS) is addressed. Corresponding to each subsystem, a hybrid switched and impulsive controller is designed and then the exponential stability property of the proposed singular HSIS is discussed for linear and nonlinear cases. Because switched systems without impulses are a special case of HSISs, the results are also given to switched system with synchronous and asynchronous controllers. The obtained results apply to control singular systems, and the introduced theorems allow knowing how the control must be designed. Two numerical examples are given to show the effectiveness of the proposed approaches. At first, by using MATLAB^® software, the proposed method is applied to a class of physiological processes of endocrine disruptor diethylstilbestrol models to illustrate the effectiveness of the results obtained here for the linear case. Thereafter, another numerical example is provided to support the presented theoretical results for the nonlinear case.