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Finite-time robust adaptive simultaneous stabilisation of nonlinear time-delay systems with actuator saturation

Haiying Zhang, Zhengrong Xiang

2023International Journal of Systems Science16 citationsDOI

Abstract

This paper focuses on finite-time robust adaptive simultaneous stabilisation for nonlinear time-delay systems, taking into account actuator saturation and unknown parameters. Firstly, by employing adaptive control strategies and finite-time stability theory, a finite-time adaptive simultaneous stabilisation scheme for the nonlinear time-delay systems is developed. Secondly, utilising the orthogonal decomposition method, a finite-time robust adaptive simultaneous stabilisation scheme for nonlinear time-delay systems with external disturbances is proposed. Finally, simulations demonstrate the effectiveness of the provided control scheme.

Topics & Concepts

Control theory (sociology)Nonlinear systemActuatorAdaptive controlScheme (mathematics)Computer scienceStability (learning theory)MathematicsControl (management)Artificial intelligenceMachine learningMathematical analysisPhysicsQuantum mechanicsAdaptive Control of Nonlinear SystemsStability and Control of Uncertain SystemsIterative Learning Control Systems
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