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Finite-time adaptive fault-tolerant tracking control for nonlinear switched systems with dynamic uncertainties. (English) Zbl 1526.93224

Summary: In this paper, a finite-time adaptive fault-tolerant control (FTC) scheme is researched for a class of nonlinear systems with unmodeled dynamics, where the dynamic system is switched. Due to the complexity of the system and switching characteristics, it is not easy to solve the tracking problem in a finite time adopting existing approaches. In this study, a new FTC method is presented. This is completed by using the backstepping technology, common Lyapunov function method, and radial basis function (RBF) neural networks (NNs) which are utilized to estimate unknown functions. It is shown that all signals in the closed-loop system are semi-global bounded under arbitrary switching, and the tracking error converges to a small region around the origin in a finite time. An effective simulation example is given to prove the practicability of the designed scheme in the end.
{© 2021 John Wiley & Sons, Ltd.}

MSC:

93D40 Finite-time stability
93C40 Adaptive control/observation systems
93B35 Sensitivity (robustness)
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
93C10 Nonlinear systems in control theory
Full Text: DOI

References:

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