切换拟对称组合系统的降阶方法及稳定性分析

切换拟对称组合大系统其结构上的特殊性,为这种切换系统的简化降阶提供了有效方法.从简化后的切换系统入手,可方便地研究原系统的稳定性问题:a)在任意切换律下,切换拟对称组合系统二次稳定;b)构造切换律,使切换拟对称组合系统二次稳定.最后,通过仿真验证文中结论的正确性.这对于某些实际问题,如大型电力供应系统、军事系统中的舰队护航、多直升机吊物系统及大范围动物种群生态系统等有着重要的理论与应用价值.     

带有时滞摄动的线性切换系统的稳定性

研究一类带有时滞摄动的线性切换系统的稳定性，分别利用单李亚普诺夫函数方法和多李亚普诺夫函数方法给出了使切换系统渐近稳定的条件和切换律的设计方法。仿真结果验证了所提出设计方法的有效性。     

一类不确定离散切换模糊组合系统的稳定性控制

以模糊T-S模型对离散切换组合系统的研究模型进行重新构建,分别利用单Lyapunov函数方法设计出分散切换律和控制器,给出了利用矩阵不等式表达的系统在分散切换律和分散控制器作用下的可镇定条件,仿真结果表明了该方法的有效性。     

切换系统的稳定性分析

今年来,切换系统的研究成为了控制领域研究的核心问题之一,得到了越来越多的学者的关注。切换系统涉及到了很多广泛的领域,如：电子科技领域、通讯领域、交通领域等,对于切换系统的研究变得尤为重要。本文见以切换系统的稳定性的研究现状,进而研究了切换系统的稳定性的分析,为了切换系统的研究与发展,继而提供了切换系统的最优稳定性的设计,以此展开此文的论述。     

分布参数切换系统的稳定性分析

将切换系统的概念引入到分布参数系统中，提出分布参数切换系统的概念．结合切换系统和分布参数系统的建模方法，建立了两类分布参数切换系统的模型．运用切换系统的稳定性分析方法，对两类分布参数切换系统的稳定性进行分析，得出了指数稳定的充分条件．仿真示例验证了定理的正确性．     

切换系统的稳定性及镇定控制器设计

由稳定子系统构成的切换系统经无限次切换可能产生不稳定,本文利用李亚谱诺夫函 数法,给出了确保由微分方程和差分方程描述的切换系统渐近稳定的充分条件,在此基础上 给出了不受切换条件限制的,但能使切换系统渐近稳定的镇定控制器设计方法,该方法简单 且易实现,并以一个例子作了说明．     

拟对称组合大系统的稳定性分析

给出拟对称组合大系统准解耦变换的一种方法, 根据这个结果讨论了这类组合大系统的稳定性问题. 这对于某些实际问题, 如大型电力供应系统、多直升机吊物系统及大范围动物种群生态系统等有着重要的理论与应用价值.     

一类切换组合系统的分散反馈镇定

首次提出切换组合系统的概念,给出了使此系统渐近稳定的分散切换控制律的设计,研究了带有连续控制量的组合大系统采用分散混杂状态反馈稳定化问题.     

基于模糊切换策略的线性切换系统的稳定性

切换系统在运行中常受到干扰、时滞等影响,致使切换系统很难准确实施已确定的切换策略,因此系统的稳定性不能得到保证,鉴于此,本文基于模糊方法研究切换系统的稳定性问题,以增强系统的鲁棒性。将切换系统转换成T—S模糊模型,该系统具有非线性性;依据变量-梯度法,给出此系统在原点的小领域内渐近稳定的充分条件,同时获得模糊切换策略。系统仿真证实此方法简单而有效。     

等时切换下线性切换系统的稳定性及鲁棒稳定性研究-LMI方法

研究等时切换下线性切换系统的稳定性及鲁棒稳定性问题。文中首先提出等时切换的概念。然后利用LMI方法推导出等时切换下线性系统稳定及鲁棒稳定的充要条件，使用这两个充要条件可以将文中研究的复杂问题转化为相应的易处理的线性系统的问题，再利用线性系统已有的结论使问题得到解决。使用上述结果，本文为系统设计了鲁棒控制器。文中还给出实现线性切换系统等时切换的具体方法，这使等时切换方法可以真正应用于工程实践。大量仿真证实文中所提出的方法简洁、有效。     

一类时滞切换系统的稳定性分析

利用时滞分解和平均驻留时间方法讨论一类时滞切换系统的稳定性问题.定义了更为一般的Lyapunov函数,结合Jensen积分不等式和倒数凸组合技术得到的线性矩阵不等式条件具有更小的保守性和更低的计算复杂性给出的仿真算例进一步验证了所得结果的有效性.     

一类线性开关系统的渐近稳定性

研究一类线性开关系统的渐近稳定性问题。针对不满足完备性条件的开关系统 ,利用 L ya-punov函数技术 ,给出了系统渐近稳定的一个充分条件 ,并举例说明了该方法的实际应用     

Stability of switched positive nonlinear systems

This paper considers the stability problem for a class of switched positive nonlinear systems (SPNSs), which includes switched positive linear systems as a special case. We derive a necessary and sufficient condition for stability of continuous‐time SPNSs defined by homogeneous and cooperative vector fields under average dwell time switching. A corresponding necessary and sufficient condition is also given for stability of discrete‐time SPNSs defined by homogeneous and order‐preserving vector fields under average dwell time switching. The stability results for switched positive linear systems, which have been studied in the literature, can be easily obtained. We also extend the results to general switched linear systems. Finally, a numerical example is provided to illustrate the effectiveness of our results. Copyright © 2015 John Wiley & Sons, Ltd.     

一类离散切换系统的渐近稳定性

利用多Lyapunov函数, 研究了一类由m个离散子系统构成的切换系统的渐近稳定性, 给出了该系统全局渐近稳定的两个充分条件. 仿真结果表明文中的结论是有效的.     

Adaptive tracking control for a class of stochastic switched systems

The problem of adaptive tracking is considered for a class of stochastic switched systems, in this paper. As preliminaries, the criterion of global asymptotical practical stability in probability is first presented by the aid of common Lyapunov function method. Based on the Lyapunov stability criterion, adaptive backstepping controllers are designed to guarantee that the closed-loop system has a unique global solution, which is globally asymptotically practically stable in probability, and the tracking error in the fourth moment converges to an arbitrarily small neighbourhood of zero. Simulation examples are given to demonstrate the efficiency of the proposed schemes.     

Finite-time stabilisation of a class of switched nonlinear systems with state constraints

This paper investigates the finite-time stabilisation for a class of switched nonlinear systems with state constraints. Some power orders of the system are allowed to be ratios of positive even integers over odd integers. A Barrier Lyapunov function is introduced to guarantee that the state constraint is not violated at any time. Using the convex combination method and a recursive design approach, a state-dependent switching law and state feedback controllers of individual subsystems are constructed such that the closed-loop system is finite-time stable without violation of the state constraint. Two examples are provided to show the effectiveness of the proposed method.     

Stability analysis of discrete-time switched systems: a switched homogeneous Lyapunov function method

This paper addresses the stability issue of discrete-time switched systems with guaranteed dwell-time. The approach of switched homogeneous Lyapunov function of higher order is formally proposed. By means of this approach, a necessary and sufficient condition is established to check the exponential stability of the considered system. With the observation that switching signal is actually arbitrary if the dwell time is one sample time, a necessary and sufficient condition is also presented to verify the exponential stability of switched systems under arbitrary switching signals. Using the augmented argument, a necessary and sufficient exponential stability criterion is given for discrete-time switched systems with delays. A numerical example is provided to show the advantages of the theoretical results.