Journal
NONLINEAR ANALYSIS-HYBRID SYSTEMS
Volume 31, Issue -, Pages 292-301Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.nahs.2018.10.003
Keywords
Dynamic quantization; Event-triggered sampling; Exponential stabilization; Switched systems
Categories
Funding
- National Natural Science Foundation of China [61773089, 61374070, 61473055]
- Fundamental Research Funds for the Central Universities, China [DUT17JC14, DUT17ZD227]
- Youth Star of Dalian Science and Technology, China [2016RQ014, 2015R052]
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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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