Observer-based mixed passive and H∞ control for uncertain Markovian jump systems with time delays using quantized measurements. (February 2019)

• Record Type: Journal Article
• Authors: Xia, Weifeng; Li, Yongmin; Chu, Yuming; Xu, Shengyuan; Chen, Weimin; Zhang, Zhengqiang
• Is Part Of: Nonlinear analysis. Volume 31(2019)
• Page Start: 233
• Page End: 246
• Publication Date: 2019-02
• Subjects: Markovian jump systems -- Observer -- Mixed passivity and H∞ performance -- Quantizer -- Parameter uncertainties; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2018.09.003
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This paper is concerned with the observer-based control problem for Markovian jump delay systems with parameter uncertainties using quantized measurements. The parameter uncertainties are assumed to be norm bounded. The aim is to design a suitable observer-based controller which guarantees the stochastic stability of the resulting closed-loop system with a prescribed mixed passivity and H ∞ performance index. A novel stability criterion is obtained by constructing a mode-dependent Lyapunov–Krasovskii functional based on the delay-partitioning technique. Then, with the novel stability criterion, sufficient conditions for the solvability of the presented observer-based controller design problem are derived. All the results obtained in this paper can be tackled by a feasibility problem in terms of linear matrix inequalities. Finally, three numerical examples are provided to illustrate the effectiveness of the proposed methods.