Guaranteed cost finite-time control of fractional-order positive switched systems
Summary: 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 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 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.
scientific article; zbMATH DE number 6962600