Event-triggered feedback stabilization of switched linear systems using dynamic quantized input. (February 2019)

• Record Type: Journal Article
• Authors: Li, Can; Lian, Jie
• Is Part Of: Nonlinear analysis. Volume 31(2019)
• Page Start: 292
• Page End: 301
• Publication Date: 2019-02
• Subjects: Dynamic quantization -- Event-triggered sampling -- Exponential stabilization -- Switched systems; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2018.10.003
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This paper is concerned with the co-design of event-triggered sampling, dynamic input quantization and constrained switching for a switched linear system. The mismatch between the plant and its corresponding controller is considered. This behavior is raised by switching within the event-triggered sampling interval. Accordingly, novel update laws of dynamic quantization parameter are designed separately for matched sampling intervals (without switching) and mismatched sampling intervals (with a switch). We technically transform the total variation (increment or decrement) of Lyapunov functions in one sampling interval into the discrete-time update of quantization parameter. Based on this transformation, a hybrid quantized control policy is developed. This policy, in conjunction with the average dwell-time switching law and the constructed event-triggered condition, can ensure the exponential stabilization of the switched system with finite-level quantized input. Besides, the event-triggered scheme is proved to be Zeno-free. The effectiveness of the developed method is verified by a simulation example.