Guaranteed Cost Finite-Time Control for Positive Switched Linear Systems with Time-Varying Delays

Abstract EN

This paper considers the guaranteed cost finite-time control for positive switched linear systems with time-varying delays.

The definition of guaranteed cost finite-time boundedness is firstly given.

Then, by using the mode-dependent average dwell time approach, a static output feedback law and a state feedback control law are constructed, respectively, and sufficient conditions are obtained to guarantee that the closed-loop system is guaranteed cost finite-time boundedness.

Such conditions can be easily solved by linear programming.

Finally, an example is given to illustrate the effectiveness of the proposed method.