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

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  • Zheng, Qunxian
  • Xu, Shengyuan
  • Zhang, Zhengqiang

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.

Suggested Citation

  • Zheng, Qunxian & Xu, Shengyuan & Zhang, Zhengqiang, 2020. "Nonfragile H∞ observer design for uncertain nonlinear switched systems with quantization," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    • Handle: RePEc:eee:apmaco:v:386:y:2020:i:c:s0096300320303969
    DOI: 10.1016/j.amc.2020.125435
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    References listed on IDEAS

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    1. Wang, Ruihua & Jiao, Ticao & Zhang, Tao & Fei, Shumin, 2019. "Improved stability results for discrete-time switched systems: A multiple piecewise convex Lyapunov function approach," Applied Mathematics and Computation, Elsevier, vol. 353(C), pages 54-65.
    2. Jun Cheng & Hong Zhu & Shouming Zhong & Yuping Zhang, 2012. "Robust Stability of Switched Delay Systems with Average Dwell Time under Asynchronous Switching," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-17, October.
    3. Xiao, Xiaoqing & Park, Ju H. & Zhou, Lei, 2018. "Event-triggered control of discrete-time switched linear systems with packet losses," Applied Mathematics and Computation, Elsevier, vol. 333(C), pages 344-352.
    4. Xiong, Jun & Chang, Xiao-Heng & Yi, Xiaojian, 2018. "Design of robust nonfragile fault detection filter for uncertain dynamic systems with quantization," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 774-788.
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    Cited by:

    1. Parvizian, Majid & Khandani, Khosro, 2021. "Hyperbolic observer design for a class of nonlinear systems," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).

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