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Event-based adaptive asymptotic tracking control of nonlinear time-varying systems with prescribed performance

Sheng-Nan Shi, Yuan‐Xin Li

2022Journal of Control and Decision35 citationsDOI

Abstract

This paper is concerned with the adaptive tracking control problem of nonlinear time-varying systems. Based on the backstepping technology, an event-based prescribed performance control scheme is developed. And the time-varying uncertainties of the system are handled by utilising bound estimation method. The proposed controller not only ensures the prescribed tracking performance, but also reduces the communication burden. By using Lyapunov stability analysis, it is proven that all of the closed-loop signals are bounded, and the tracking error can converge to zero. Simultaneously, Zeno behaviour is excluded. Finally, the simulation results are utilised to illustrate the effectiveness of the proposed adaptive control scheme.

Topics & Concepts

BacksteppingControl theory (sociology)Controller (irrigation)Tracking errorNonlinear systemBounded functionScheme (mathematics)Tracking (education)Computer scienceLyapunov stabilityLyapunov functionAdaptive controlStability (learning theory)Control (management)MathematicsArtificial intelligenceMachine learningPsychologyMathematical analysisPedagogyQuantum mechanicsPhysicsBiologyAgronomyAdaptive Control of Nonlinear SystemsAdaptive Dynamic Programming ControlIterative Learning Control Systems