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Fuzzy Robust H1 Control for UncertainNonlinear Systems via Output Feedback

fuzzymodellogicsystemsuncertainnonlinearcontroloutputfeedback

摘要:This paper is concerned with a fuzzy robust H∞ control problem via output feedbackfor a class of uncertain nonlinear systems. The uncertain nonlinear systemsare represented by fuzzy Takagi-Sugeno (T-S) model, and a fuzzy controller is designedbased on the state observer. A sufficient condition for the existence of fuzzycontroller is given in terms of the linear matrix inequalities (LMIs) and the adaptivelaw. Based on Lyapunov stability theorem, the proposed fuzzy control scheme suchthat the desired H∞performance is achieved in the sense that all the closed-loopsignals are uniformly ultimately bounded (UUB). Simulation results indicate theeffectiveness of the developed control scheme. In this paper, a less conservativefuzzy tracking controller is proposed, where the matching condition and the upperbound are avoided. Comparing with the existing works, the dimension of the LMIsof this paper is reduced.

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工程数学学报

《工程数学学报》(CN:61-1269/O1)是一本有较高学术价值的大型双月刊,自创刊以来,选题新奇而不失报道广度,服务大众而不失理论高度。颇受业界和广大读者的关注和好评。 《工程数学学报》是数学的理论方法与信息科学、现代工程、高新技术相结合的综合性学术刊物,侧重数学在科学技术及社会经济发展中的应用,主要刊登工业、应用数学方面的研究论文和相关的数学建模与计算方法、以及应用数学理论与方法方面的学术论文与综述。

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