Finite-Time Stabilization-Based Adaptive Fuzzy Control Design
Bing Chen, Chong Lin
Abstract
This article is aimed at developing a finite-time adaptive fuzzy control strategy for a class of nonlinear strict-feedback systems. For the first time, a fast finite-time practical stability criteria is set up, which provides an effective approach to address the finite-time adaptive fuzzy control design. Furthermore, a systematic finite-time adaptive fuzzy control design procedure is developed by embedding that practical stability criteria. The closed-loop stability analysis shows that the tracking error converges to a small region around the origin in finite time. Meanwhile, all the signals in the closed-loop system are bounded. At last, the presented results are tested by a numerical example.
Topics & Concepts
Control theory (sociology)Fuzzy control systemAdaptive controlFuzzy logicStability (learning theory)Tracking errorEmbeddingMathematicsFuzzy setAdaptive systemComputer scienceMathematical optimizationControl (management)Artificial intelligenceMachine learningAdaptive Control of Nonlinear SystemsAdaptive Dynamic Programming ControlGuidance and Control Systems