Event-triggered feedback stabilization of switched linear systems using dynamic quantized input

Release Time:2019-03-13  Hits:

Indexed by: Journal Article

Date of Publication: 2019-02-01

Journal: NONLINEAR ANALYSIS-HYBRID SYSTEMS

Included Journals: Scopus、SCIE

Volume: 31

Page Number: 292-301

ISSN: 1751-570X

Key Words: Dynamic quantization; Event-triggered sampling; Exponential stabilization; Switched systems

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. (C) 2018 Elsevier Ltd. All rights reserved.

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