On the Functional Observer Design With Sampled Measurement

• 成果类型: Article
• 署名作者: Habibi, Hamed; Fernando, Tyrone; Darouach, Mohamed
• 署名单位: University of Western Australia; Curtin University; Universite de Lorraine; Universite de Lorraine
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3226109
• 发表日期: 2023
• 页码: 5759-5766
• 关键词: Observers; Time measurement; stability analysis; australia; system dynamics; Numerical stability; estimation error; Continuous nonlinear systems; functional observer; LMI; sampled measurements; unknown input

摘要

In this article, a functional observer for continuous systems with sampled measurement is designed for a class of nonlinear systems, operating under unknown inputs, and the existence conditions are derived. The nonlinear function, as a function of full states, is decomposed to Lipschitz term and an unknown one. The stability and boundedness of the estimation dynamics are analyzed and accordingly, the design procedure is formulated as a linear matrix inequality problem. Moreover, the design algorithm for some special cases is obtained. The numerical simulations are performed to evaluate the effectiveness of the proposed approach.