分布时滞奇异Lurie中立型切换系统的鲁棒H_(∞)控制

Robust H_(∞)Feedback Control for Singular Lurie Distributed Time-Delay Neutral Switched Systems

针对一类同时具有不确定性、变时滞和连续分布时滞的奇异Lurie中立型切换系统,综合运用了Lyapunov-Krasovskii泛函、Schur补引理及矩阵不等式方法,在系统的某种切换策略下,得到分布型变时滞闭环系统能够镇定的一个充分性判据,为系统的综合提供了可行性判据。设计了具有记忆的状态反馈控制器,使得对于所有允许的不确定性,闭环系统鲁棒渐近稳定且具有给定的H_(∞)性能指标,同时为系统的稳定性分析及控制器的综合提供了更多的自由度,最后的结果转化为线性矩阵不等式给出,通过数值仿真,验证了定理的有效性。

This paper considers the issue of the state feedback control with memory for a class of uncertain singular Lurie neutral switched systems with distributed time-delay.Under the circumstances of a switching law,The Lyapunov-Krasovskii functional techniques,Schur complement lemma,and linear matrix inequality employed.The sufficient conditions are given for the asymptotic stability of the closed-loop system with time-varying delay.Meanwhile,robust controllers for each subsystem under the switching law are designed,for all admissible uncertainties.The closed-loop system is robust asymptotical stable and satisfies a prescribed performance.It is believed that controller with memory should provide more freedom for robust stability analysis and synthesis for the systems.In the final,the validity of the conclusion is shown by numerical examples.