Guaranteed Cost Finite-Time Control of Discrete-Time Positive Impulsive Switched Systems

Guaranteed Cost Finite-Time Control of Discrete-Time Positive Impulsive Switched Systems

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This paper considers the guaranteed cost finite-time boundedness of discrete-time positive impulsive switched systems.Firstly, the definition of guaranteed cost finite-time boundedness is introduced.By using the multiple linear SUPER 5 PLUS LOZENGE copositive Lyapunov function (MLCLF) and average dwell time (ADT) approach, a state feedback controller is designed and sufficient conditions are obtained to guarantee that the corresponding closed-loop system is guaranteed cost finite-time boundedness (GCFTB).Such conditions can STATIONARY be solved by linear programming.

Finally, a numerical example is provided to show the effectiveness of the proposed method.