定常输入时滞不确定切换系统的鲁棒镇定

Robust stabilization for uncertain switched systems with constant input delay

在实际环境中,各种不可避免的因素,如系统运行的环境变化、信息传输的延时等,都会导致系统中出现一些不确定参数或输入时滞现象;具有输入时滞现象的系统同样大量存在于工程的实际问题中,忽略输入时滞将会对系统的性能产生很大的影响。因此,研究带有定常输入时滞的不确定切换系统的鲁棒镇定问题有着重要意义。对于带有定常输入时滞的系统,可以运用还原算法将其转化为无输入时滞的系统;而对于不确定性系统,传统的还原算法已不能很好地实现这种转化。为此,提出了一种改进的还原算法,得到了一个通过求解LMI来获得状态反馈控制器的设计方法,控制器计算简单且易实现。

In the actual environment,all kinds of unavoidable factors,such as the change of the operating environment of the systems,the delay of information transmission,will lead to some uncertain parameters or input delay phenomena in the systems.Systems with input delay also exist in a large number of practical engineering problems,ignoring the input delay will have a great impact on the performance of the systems,so the study of robust stabilization of such systems has more practical significance.The problem of robust stabilization of uncertain switched systems with constant input delay is studied.For systems with input delay,a reduction algorithm can be used to transform them into systems without input delay.However,for uncertain systems,the traditional reduction algorithm can not achieve this conversion well.In this paper,an improved reduction algorithm is proposed,and a design method of obtaining state feedback controller by solving LMI is obtained.The controller is simple to calculate and easy to implement.