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.

中文翻译：

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量化不确定非线性切换系统的非脆弱H∞观测器设计

摘要 本文解决了不确定非线性切换系统的非脆弱 H∞ 观测器设计问题。测量输出信号在传输前由静态量化器进行量化。应用扇区边界方法来获得量化误差。为了解决观测器参数扰动的问题，构建了一组具有增益变化的观测器。考虑到切换系统和观测器增益中存在的不确定性，我们的目的是设计一组鲁棒的非脆弱观测器，使得观测器误差系统全局指数稳定并满足加权 H∞ 性能指标。基于平均停留时间 (ADT) 切换方法和一些引理，以线性矩阵不等式 (LMI) 的形式为所需观察者建立了充分条件。