Hairong Dong, Yubing Wang, and Shigen Gao
Sampled-data observer, adaptive fuzzy control, dynamic surface control, nonlinear systems
This paper considers an adaptive fuzzy dynamic surface control (DSC) approach based on sampled-data observer for a class of uncertain nonlinear systems under uncertain functions, immeasurable states, and transmission delays. Fuzzy logic system is used to approximate uncertain nonlinear functions, and sampled-data observer has been designed to estimate unmeasurable states using available sampled output information. Based on the sampled-data observer, an adaptive fuzzy DSC approach has been constructed. Introducing DSC into the traditional backstepping technique disposes the explosion of complexity. Furthermore, this method is also appropriate for time-delay systems by constructing Lyapunov–Krasovskii function properly. In addition, the presented adaptive fuzzy DSC scheme can insure that the closed-loop signals are semi-globally uniformly ultimately bounded and the tracking error converges a bounded compact set. Simulation results illustrate the effectiveness of the proposed scheme.
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