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Adaptive Fuzzy Output Feedback Control of Switched Uncertain Nonlinear Systems With Constraint Conditions Related to Historical States

Lei Liu, Zheng Li, Yan‐Jun Liu, Shaocheng Tong

2022IEEE Transactions on Fuzzy Systems24 citationsDOI

Abstract

In this article, a fuzzy adaptive output feedback control strategy is designed for a class of uncertain nonlinear switched system with full state constraints under arbitrary switching signal. The states of the system studied in this article are unmeasurable, so a fuzzy observer is designed to estimate the unmeasurable states. At the same time, in order to ensure that the states of the system do not violate the constraints related to the desired output and states, the log-type barrier Lyapunov function method is selected to solve this constraint problem. Finally, through Lyapunov stability theory analysis, it is found that the designed control strategy can ensure that all signals in the closed-loop system are bounded, and the states of the system do not violate their corresponding constraints. In addition, a numerical simulation verifies the effectiveness of the control strategy.

Topics & Concepts

Control theory (sociology)Nonlinear systemConstraint (computer-aided design)Fuzzy control systemObserver (physics)Lyapunov functionFuzzy logicBounded functionAdaptive controlMathematicsStability (learning theory)Computer scienceMathematical optimizationControl (management)Artificial intelligenceGeometryQuantum mechanicsPhysicsMathematical analysisMachine learningAdaptive Control of Nonlinear SystemsStability and Control of Uncertain SystemsNeural Networks Stability and Synchronization