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Observer-based Non-fragile Mixed Passivity and H∞ Feedback Control for Fuzzy Stochastic Jump System Subject to Quantized Measurements

Kun Ma, Guangming Zhuang*, Jianwei Xia, Guoliang Chen, and Huasheng Zhang
International Journal of Control, Automation, and Systems, vol. 19, no. 9, pp.3136-3149, 2021

Abstract : This paper considers the topic of the observer-based non-fragile mixed passivity and H∞ state feedback control for time-varying delay and norm-bounded parameter uncertainties fuzzy stochastic Markovian jump system subject to quantized measurements. The aim of this paper is to provide a suitable observer-based non-fragile state feedback controller to enhance stochastic stabilization of the closed-loop system and satisfy mixed passivity and H∞ performance. By constructing mode-dependent Lyapunov-Krasovskii functional, novel conditions are achieved in virtue of linear matrix inequalities. Two examples including truck-trailer model are given to illustrate the effectiveness of the developed method.

Keyword : Fuzzy control, Itô stochastic system, mixed passivity and H∞ control, non-fragile observer and controller, uncertain Markovian jump system.

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