H ∞ Control for Mixed-Mode Based Switched Nonlinear Systems with Time-Varying Delay

الملخص EN

This paper investigated H∞ performance of the switched nonlinear systems with time-varying delay, which contains mixed modes, important characteristics of switched delay systems.

Most of the references ignored the existence of mixed modes in such systems, which is a fatal mistake.

This paper will correct the mistake of the existing references.

The mixed modes give the H∞ control for switched nonlinear delay systems a challenge.

With this difficulty, we take measures to handle the effects of mixed modes on such systems and achieve the H∞ performance of such systems.

Firstly, the H∞ control analysis is divided into two cases, and the sufficient conditions for the exponential decay of the Lyapunov-Krasovskii functionals are given with the integral interval approach.

Secondly, the combination of average dwell-time approach and subsystem activation rate is utilized to achieve the H∞ performance for the mixed-mode based switched systems with time-varying delay.

Finally, simulation examples show the efficiency of the switching control strategy.