Input-Output Finite-Time Control of Positive Switched Systems with Time-Varying and Distributed Delays

الملخص EN

The problem of input-output finite-time control of positive switched systems with time-varying and distributed delays is considered in this paper.

Firstly, the definition of input-output finite-time stability is extended to positive switched systems with time-varying and distributed delays, and the proof of the positivity of such systems is also given.

Then, by constructing multiple linear copositive Lyapunov functions and using the mode-dependent average dwell time (MDADT) approach, a state feedback controller is designed, and sufficient conditions are derived to guarantee that the corresponding closed-loop system is input-output finite-time stable (IO-FTS).

Such conditions can be easily solved by linear programming.

Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.