具有输入时滞切换系统的稳定性分析与控制

Stability Analysis and Control for Switched Systems with Input-Delay

研究了一类具有输入时滞的切换系统的稳定性分析和控制综合,提出了一种状态反馈控制器的设计方法.设计时,首先用还原法将具有时滞输入的切换系统转化为无时滞的系统,然后运用Lyapunov稳定性理论推出了系统在控制器的作用下稳定的充分条件,此条件可化为可解的标准LMI形式.最后,给出了一个例子阐明结果的可行性.

The stability properties and control synthesis for a class of switched systems with input-delay,as well as a feedback controller design technique for such systems are investigated. First,the switched systems can be transferred to delay-free ones by using the so-called reduction method. Then,a sufficient condition for the stability which can be expressed as a standard linear matris inepualities is derived based on the Lyapunov second method. Finally,an example is given to illustrate the results obtained.