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Finite‐time adaptive fault‐tolerant tracking control for nonlinear switched systems with dynamic uncertainties

Di Cui, Yifei Wu, Zhengrong Xiang

2021International Journal of Robust and Nonlinear Control58 citationsDOI

Abstract

Abstract 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.

Topics & Concepts

BacksteppingControl theory (sociology)Nonlinear systemBounded functionComputer scienceTracking errorLyapunov functionArtificial neural networkFault toleranceFunction (biology)Tracking (education)Scheme (mathematics)Adaptive controlMathematicsControl (management)Artificial intelligenceMathematical analysisPhysicsQuantum mechanicsPsychologyPedagogyEvolutionary biologyDistributed computingBiologyAdaptive Control of Nonlinear SystemsAdaptive Dynamic Programming ControlStability and Control of Uncertain Systems
Finite‐time adaptive fault‐tolerant tracking control for nonlinear switched systems with dynamic uncertainties | Litcius