Asynchronous observer-based H∞ control for switched stochastic systems with mixed delays under quantization and packet dropouts. (February 2018)

• Record Type: Journal Article
• Authors: Chen, Yonggang; Wang, Zidong; Qian, Wei; Alsaadi, Fuad E.
• Is Part Of: Nonlinear analysis. Volume 27(2018)
• Page Start: 225
• Page End: 238
• Publication Date: 2018-02
• Subjects: Asynchronous H∞ control -- Switched stochastic systems -- Mixed delays -- Quantization -- Packet dropouts; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2017.07.005
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: In this paper, the observer-based H ∞ control problem is investigated for a class of discrete-time switched stochastic systems with mixed delays comprising both discrete and distributed delays. The measurement output of the addressed system is subject to quantizations and packet dropouts. The observer/controller switching is allowed to be asynchronous with the subsystem switching. An observer-based controller is designed such that, in the simultaneous presence of system switches, mixed delays, quantizations and packet dropouts, the closed-loop system is guaranteed to be mean-square exponentially stable while achieving the prescribed H ∞ performance constraints. Based on the piecewise Lyapunov-like functionals and the average dwell-time switching, sufficient conditions are first established under which the closed-loop system is mean-square exponentially stable with a weighted disturbance attenuation level. Then, the explicit characterizations of the observer/controller gains are obtained by means of certain nonlinear matrix inequalities that can be effectively solved by applying the cone complementary linearization algorithm. Finally, a numerical example is given to show the effectiveness of the proposed design scheme.