The design of dynamic observers for nonlinear Lipschitz systems has considered great attention in past decades. Instead of applying the standard strictly explicit designs or LMI-based heuristic solutions, in this paper, an efficient systematic method is deployed by considering the existence of some arbitrary bounds on the nonlinear Lipschitz terms. The method enables to relax the observer design from the conventional restrictions and it is easily solved analytically without needing the solution of LMIs. As proven in the paper by a detailed and rigorous analysis, its main advantage is that it guarantees global asymptotic stability and ensures the observer response with desired decay characteristics satisfying simultaneously the Lyapunov equation.

中文翻译：

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非线性有界 Lipschitz 系统的观察者分析与设计

非线性 Lipschitz 系统的动态观测器设计在过去的几十年中受到了极大的关注。在本文中，不是应用标准的严格显式设计或基于 LMI 的启发式解决方案，而是通过考虑非线性 Lipschitz 项上存在一些任意边界来部署一种有效的系统方法。该方法可以从传统的限制中放宽观察者设计，并且无需LMI的求解即可轻松解析求解。正如论文中通过详细而严格的分析所证明的那样，它的主要优点是它保证了全局渐近稳定性，并确保观察者响应具有所需的衰减特性，同时满足 Lyapunov 方程。