Robust Stability and H∞ Stabilization of Switched Systems with Time-Varying Delays Using Delta Operator Approach

Abstract EN

This paper considers the problems of the robust stability and robust H∞ controller design for time-varying delay switched systems using delta operator approach.

Based on the average dwell time approach and delta operator theory, a sufficient condition of the robust exponential stability is presented by choosing an appropriate Lyapunov-Krasovskii functional candidate.

Then, a state feedback controller is designed such that the resulting closed-loop system is exponentially stable with a guaranteed H∞ performance.

The obtained results are formulated in the form of linear matrix inequalities (LMIs).

Finally, a numerical example is provided to explicitly illustrate the feasibility and effectiveness of the proposed method.