The fault estimation for a class of nonlinear systems with Lipschitzian nonlinearities and faults is studied in this article. An integrated estimation observer that covers the robust estimation observer (REO) and adaptive estimation observer (AEO) is proposed to improve the accuracy of fault estimation. Compared with the traditional AEO, the designed observer does not involve the output derivatives and can be more suitable for practical applications. Furthermore, based on the designed observer, the coupling term emerging in the obtained error dynamics can be eliminated reasonably and less conservative stability conditions for the error dynamics can be obtained, whereas the case is hard to be achieved based on the existing intermediate estimator approach in the literature. Compared with the traditional REO and AEO, the fault can be estimated with a good accuracy by using the proposed integrated estimation observer. Numerical examples test the effectiveness and advantages of the proposed method.

中文翻译：

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一类Lipschitz非线性系统的基于观测器的集成故障估计

本文研究了一类具有Lipschitzian非线性和故障的非线性系统的故障估计。提出了一种涵盖鲁棒估计观测器（REO）和自适应估计观测器（AEO）的集成估计观测器，以提高故障估计的准确性。与传统的AEO相比，设计的观察器不涉及输出导数，可以更适合实际应用。此外，基于设计的观测器，可以合理地消除在获得的误差动力学中出现的耦合项，并且可以获得误差动力学的保守性较小的稳定性条件，而基于现有的中间估计器方法很难实现这种情况。文献。与传统的REO和AEO相比，通过使用建议的集成估计观测器，可以以较高的精度估计故障。数值算例验证了该方法的有效性和优势。