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Adaptive Fuzzy Output-Feedback Control Design for a Class of p-Norm Stochastic Nonlinear Systems With Output Constraints

Liandi Fang, Shihong Ding, Ju H. Park, Li Ma

2021IEEE Transactions on Circuits and Systems I Regular Papers38 citationsDOIOpen Access PDF

Abstract

This paper considers the control problem of p-norm stochastic nonlinear systems with output constraints, while the system nonlinearities are completely unknown and the system states are unavailable except the output. A nonlinear observer is constructed to estimate the unmeasurable states. Then, based on the constructed observer and a tan-type barrier Lyapunov function (BLF), an adaptive fuzzy output-feedback control strategy is developed by combining the technique of adding a power integrator with the fuzzy logic systems (FLSs). The proposed scheme enables that all the signals of the considered closed-loop systems are bounded in probability while the prespecified output constraint is not violated. Finally, a numerical example verifies the validation of the proposed scheme.

Topics & Concepts

Control theory (sociology)Nonlinear systemMathematicsFuzzy logicFuzzy control systemIntegratorNorm (philosophy)Observer (physics)BacksteppingAdaptive controlBounded functionLyapunov functionMathematical optimizationComputer scienceControl (management)Bandwidth (computing)PhysicsArtificial intelligenceMathematical analysisPolitical scienceComputer networkLawQuantum mechanicsAdaptive Control of Nonlinear SystemsAdaptive Dynamic Programming ControlDistributed Control Multi-Agent Systems
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