研究了时间滞后满足区间变化的线性连续系统鲁棒镇定问题。采用Lyapunov-Krasovskii稳定性分析方法,给出了区间时滞依赖系统的状态反馈设计稳定解。进一步研究参数化不确定性情况下,区间时滞依赖系统的鲁棒稳定性判据和鲁棒状态反馈控制器设计方法。最后,通过仿真算例比较,验证了此方法的有效性。
The problem of delay-dependent stabilization for linear systems with parameter uncertainties is discussed. The delay-dependent state feedback solution is presented in terms of a set of linear matrix inequalities (LMIs). According to these results, the robust stability sufficient conditions and the robust state feedback con- troller design method are derived. Finally, the validity of this approach is illustrated by a numerical example.