Guaranteed cost control of switched systems with neutral delay via dynamic output feedback
作者： Ligang Wu , Zidong Wang
DOI: 10.1080/00207720902953151
关键词: Time complexity 、 Rate of convergence 、 Lyapunov function 、 Linear matrix inequality 、 Mathematical optimization 、 Exponential stability 、 Dwell time 、 Control theory 、 Stopping time 、 Hybrid system 、 Mathematics
摘要: This article is concerned with the problem of cost-guaranteed dynamic output feedback (DOF) control for a class continuous-time linear switched system both discrete and neutral delays. By using average dwell time approach piecewise Lyapunov function technique, sufficient condition first proposed, in terms set matrix inequalities (LMIs), to guarantee exponential stability certain bound cost closed-loop system, where decay estimate explicitly given quantify convergence rate. Then, corresponding solvability conditions desired DOF controller under guaranteed are established by linearising variable transforms. Since these obtained not all expressed strict LMIs, cone complementary linearisation method exploited cast them into sequential minimisation problems subject LMI constraints, which can be easily solved numerically. Finally, numerical example provided illustrate effectiveness proposed theory.
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