Asynchronous L1 control of switched positive systems with mode-dependent average dwell time
The asynchronous L1 control problem for a class of switched positive linear systems under mode-dependent average dwell time(MDADT)switching signal was investigated in this paper.By constructing an appropriate Lyapunov function,based on MDADT switching signal,the exponential stability of switched positive linear systems under asynchronous switching was discussed.Moreover,a sufficient condition of the exponential stability with L1-gain performance(γ)under asynchronous switching was also given.Based on the established stability theorem and MDADT switching signal,a class of state feedback controller was designed to make the closed-loop system under MDADT was positive and exponential stability with L1-gain performance(γ),and the specific algorithm for solving the gain matrix Ki of the controller was given.Moreover,the conclusions were given in the form of algebraic matrix inequalities,which can be solved by using the LP toolbox in Matlab.A numerical example was given to demonstrate the effectiveness and feasibility of the obtained results.
switched positive systemsmode-dependent average dwell timeLyapunov functionasynchronous switchingexponential stabilityL1-gain performance
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