Guaranteed Cost Finite-Time Control of Fractional-Order Positive Switched Systems

Guaranteed Cost Finite-Time Control of Fractional-Order Positive Switched Systems

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The problem of guaranteed cost finite-time control of fractional-order positive switched systems (FOPSS) is considered in this paper.Firstly, a new cost function is defined.Then, by constructing linear Building Set copositive Lyapunov functions and using the average dwell time (ADT) approach, a state feedback controller and a static output feedback controller are constructed, respectively, and sufficient conditions are derived to guarantee that the corresponding click here closed-loop systems are guaranteed cost finite-time stable (GCFTS).Such conditions can be easily solved by linear programming.

Finally, two examples are given to illustrate the effectiveness of the proposed method.