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Indexed by:会议论文

Date of Publication:2019-01-01

Included Journals:EI、CPCI-S

Page Number:179-184

Key Words:Positive linear system; Mode-dependent average dwell time; Dwell time; Controller failure; Multiple linear copositive Lyapunov function

Abstract:This paper studies exponential stability and fault tolerant control for linear time-invariant (LTI) positive system with controller failure. Through dwell time (DT) and mode-dependent average dwell time (MDADT) approach, sufficient conditions of globally uniformly exponential stability (GUES) are proposed. We treat the mode changing between controller work and failure as a switch. The main idea is using switching behavior to compensate the increment of Lyapunov function (LF) produced by controller failure, introducing the multiple linear copositive Lyapunov function (MLCLF) method to obtain less conservative results. By solving the linear programming problem, the switched positive system can be GUES under the constraint of DT and MDADT. On this basis, a fault tolerant controller is designed. Numerical examples are provided to show the effectiveness of the results.