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

Abstract EN

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.