【作者】 许珍惜；

【导师】 卜春霞；

【作者基本信息】 郑州大学 ， 运筹学与控制论， 2009， 硕士

【摘要】 混杂系统是由离散事件动态系统与连续时间动态系统相互混和,相互作用而形成的统一动态系统。切换系统是混杂系统中重要的分支之一,本质上是一类非线性系统。切换系统可以看成是将非线性系统分成若干个线性子系统,通过切换控制在各个子系统之间切换,将逻辑动态和连续动态结合起来。但由于切换的引入,使整个系统的动态特性和各个子系统的动态特性有着很大的差异。因此,对于切换系统的研究是一个非常具有理论意义与应用价值的研究方向,而且近年来随着计算机技术的迅速发展得到了广泛的应用,切换系统的研究也成为控制领域研究的热点问题。本文主要以理论分析研究为主,以李亚普诺夫稳定性理论为基础,首先从两个方面对一类特殊的线性切换系统一周期切换系统的稳定性进行分析。(1)对线性时变周期切换系统通过分析切换系统状态方程的解来研究系统的稳定性;(2)对离散线性周期切换系统,在schur稳定意义下,设计最小切换周期T,以保证整个切换系统是渐近稳定的。然后,对离散线性切换系统基于最小驻留时间讨论系统的稳定性;最后,针对离散线性切换系统中状态变量不可直接测量的情况,通过构造降维观测器,用观测器的估计值代替原系统中不可测量的状态变量的值,进一步给出包含观测器的状态反馈控制器和相应策略的设计方法。更多还原

【Abstract】 The hybrid system is composed by discrete dynamic systems and continu-ous dynamic systems. It is formed a uniform dynamic systems by effected each other.Switched systems is an important class of hybrid systems.In fact,it is a class of noline system.It consists of some linear subsystems that integrate the logical and continuous dynamics by switching.Because of switching signal,there is a large different between the characteristic of Switched systems and every subsystems meanwhile,in recent years,the Switched systems gains the more extensive application with the rapid development of computer technique,therefore,the study of Switched systems will become a research direction with theory signification and application value.so it becomes the one hot spot issues of control field.This paper deals mainly with theoretical analysis.Based on the theory of Lyapunov Stability.First,for a especial class linear switched systems—periodic switched systems,we analysis their stability from two parts.(1)For continuous linear time-varying periodic switched systems ,we study the stability by using the solve of state equation of switched systems and computer simulation. (2)For discrete linear periodic switched systems,Based on Schur stability ,the minimum switching periodic T are designed to guarantee the switched systems is asymptotically sta-ble.Then,for discrete linear switched systems ,Designed the minimum dwell time ,it could assure that the switched systems is asymptotically stable.Finally,for discrete linear switched systems, if the part of state value can not be measured directly, designing a Reduced-order State Observer,the switching strategy and sub-controller which use the observer value,are designed to guarantee the close-loop system is asymptotically stable.更多还原