时变时滞不确定切换系统的时滞依赖鲁棒控制
Delay-dependent robust control for uncertain switched system with time-varying delay
Abstract
研究对象是一类含有状态时滞的时变时滞切换系统.通过构造适当的李亚普诺夫函数,在考虑了系统不确定性的情况下,设计出了一类状态反馈控制器及相应的切换策略,使得闭环系统在给定的切换策略下其平衡点处是渐近稳定的,得出其具有时滞依赖性、保守性较小的特点.最后利用MATlAb示例仿真,仿真结果验证了结论的有效性. The problem of a class of switched system with time-varying delay is considered.Based on an appropriate Lyapunov function and taking into account the uncertainty of the system,a kind of state-feedback controller is constructed and the switching strategy is also designed in this paper.With the given switching laws,the controllers guarantee that the states of closed-loop systems asymptotically converge to equilibrium point.The conclusion of this paper with a delay-dependent is less conservative.The last example simulation of MATLAB shows that the result of this paper is less conservative.