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Performance-Guaranteed Adaptive Asymptotic Tracking for Nonlinear Systems With Unknown Sign-Switching Control Direction

Zongyi Guo, Tiago Roux Oliveira, Jianguo Guo, Zheng Wang

2022IEEE Transactions on Automatic Control50 citationsDOI

Abstract

This article presents a performance-guaranteed ad- aptive asymptotic tracking control scheme for a class of nonlinear systems with unknown sign-switching control direction. By introducing the periodic sliding mode technique and equivalent control- based adaptive mechanism, the proposed control approach ensures that the sliding mode surface is reached in finite time, and thus, the asymptotic stability is achieved rather than only signals boundedness. Simultaneously, the tracking performance is strictly guaranteed inside the preassigned performance bounds even when the unknown control coefficients switch to the opposite direction. The effectiveness of the proposed control law is verified by numerical simulations.

Topics & Concepts

Control theory (sociology)Nonlinear systemSign (mathematics)Sliding mode controlExponential stabilityTracking (education)MathematicsAdaptive controlVariable structure controlControl (management)Computer scienceMathematical analysisPhysicsArtificial intelligenceQuantum mechanicsPsychologyPedagogyAdaptive Control of Nonlinear SystemsDistributed Control Multi-Agent SystemsIterative Learning Control Systems
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