Nonfragile H∞ observer design for uncertain nonlinear switched systems with quantization

Qunxian Zheng, Shengyuan Xu and Zhengqiang Zhang

Applied Mathematics and Computation, 2020, vol. 386, issue C

Abstract: This paper addresses the nonfragile H∞ observer design problem for uncertain nonlinear switched systems with quantization. The measurement output signals are quantized by a static quantizer before being transmitted. The sector bound approach is applied to obtain the quantization error. To address the problem of observer parameter perturbation, a set of observers with gain variations are constructed. Considering uncertainties existing both in switched systems and observer gains, our purpose is to design a set of robust nonfragile observers such that the observer error systems are globally exponentially stable and satisfy a weighted H∞ performance index. Based on the average dwell time (ADT) switching approach and some lemmas, sufficient conditions for the desired observers are established in form of linear matrix inequalities (LMIs). Finally, an example is provided to illustrate the applicability of the obtained results.

Keywords: Uncertain nonlinear switched systems; Observer; Nonfragile; Quantization; Average dwell time (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:386:y:2020:i:c:s0096300320303969

DOI: 10.1016/j.amc.2020.125435

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