Adaptive fuzzy tracking control of nonlinear time-delay systems with unknown virtual control coefficients |
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Authors: | Min Wang Kefu Liu Siying Zhang |
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Affiliation: | a Institute of Complexity Science, Qingdao University, Qingdao 266071, PR China b Faculty of Engineering, Lakehead University, Thunder Bay, Ont., Canada P7B 5E1 |
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Abstract: | In this paper, a novel adaptive fuzzy control scheme is proposed for a class of uncertain single-input and single-output (SISO) nonlinear time-delay systems with the lower triangular form. Fuzzy logic systems are used to approximate unknown nonlinear functions, then the adaptive fuzzy tracking controller is constructed by combining Lyapunov-Krasovskii functionals and the backstepping approach. The proposed controller guarantees uniform ultimate boundedness of all the signals in the closed-loop system, while the tracking error converges to a small neighborhood of the origin. An advantage of the proposed control scheme lies in that the number of adaptive parameters is not more than the order of the systems under consideration. Finally, simulation studies are given to demonstrate the effectiveness of the proposed design scheme. |
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Keywords: | Nonlinear time-delay systems Fuzzy control Adaptive control Backstepping approach Uncertainty |
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