Extended dissipative control for discrete-time interval type-2 semi-Markovian jump systems via time interval decomposition and Lyapunov-like approach.

This paper is concerned with the extended dissipative control for discrete-time interval type-2 semi-Markovian jump systems with mode-dependent bounded sojourn time. A time interval decomposition approach is proposed to analyze the extended dissipative performance. Based on the approach, an analysis result for the closed-loop system is obtained by utilizing a novel stochastic characteristic of Lyapunov-like stochastic process. Facilitated by the cone complementarity linearization algorithm, the extended dissipative controller can be developed in light of the obtained analysis result. Simulation examples including mass-spring-damper are provided to demonstrate the effectiveness of the proposed approach.