Fixed-Time Adaptive Fuzzy Control for Uncertain Nonlinear Systems
Kaixin Lu, Zhi Liu, Yaonan Wang, C. L. Philip Chen
Abstract
Most current methodologies on fixed-time adaptive fuzzy control for uncertain nonlinear systems result in practical fixed-time stability but not fixed-time stability, or require prior knowledge of the system dynamics. To obviate such restrictions, a fixed-time adaptive fuzzy control scheme is newly proposed with the discoveries of a singularity-avoidance virtual control design, a modified class of tuning functions and a projection operator-based adaptation mechanism. Fixed-time stability is established in the sense that the tracking error asymptotically converges to a user-defined interval within a prescribed fixed time. Illustrative examples verify the approaches developed.
Topics & Concepts
Control theory (sociology)Adaptive controlFuzzy control systemFuzzy logicNonlinear systemStability (learning theory)Fixed pointMathematicsComputer scienceSingularityInterval (graph theory)Adaptive systemMathematical optimizationControl (management)Artificial intelligenceMachine learningPhysicsQuantum mechanicsCombinatoricsMathematical analysisAdaptive Control of Nonlinear SystemsAdaptive Dynamic Programming ControlAdvanced Control Systems Optimization