Improved non-fragile feedback control for stochastic jump system based on observer and quantized measurement

Abstract

This paper elaborates the topic of observer-based non-fragile mixed passivity and H∞ control for stochastic Markovian jump system with mode-dependent time-varying delays and uncertain parameters via quantized measurements. Improved sufficient conditions are acquired via constructing a mode-dependent Lyapunov–Krasovskii (L–K) functional and using the free-weight matrix technique. A suitable observer-based non-fragile feedback controller is provided to guarantee stochastic stability of the closed-loop system. Two examples including an electrical RLC circuit are presented to illustrate the correctness of the proposed approach in this paper.