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A modified exponential reaching law for sliding mode control and its applications

Mingyuan Hu, Hyeongki Ahn, Jihoon Park, Kwanho You

2024International Journal of Robust and Nonlinear Control18 citationsDOIOpen Access PDF

Abstract

Abstract This study utilized a sliding mode control (SMC) technique combined with modified exponential reaching law to address the control of a nonlinear system. The introduced adaptive reaching law enables the system trajectories to converge rapidly toward the origin, surpassing the convergence speed achieved by the existing reaching laws. By employing the suggested reaching law, the SMC exhibits remarkable performance while effectively mitigating chattering. Furthermore, the proposed reaching law enables the system trajectories to converge rapidly toward the origin, surpassing the convergence speed achieved by the existing reaching laws. This article includes simulation results and a comparison with other predominantly existing approaches to highlight the superior performance of the proposed reaching law.

Topics & Concepts

Convergence (economics)Control theory (sociology)LawNonlinear systemSliding mode controlExponential functionMode (computer interface)Computer scienceControl (management)MathematicsArtificial intelligencePolitical sciencePhysicsQuantum mechanicsEconomicsMathematical analysisOperating systemEconomic growthAdaptive Control of Nonlinear SystemsIterative Learning Control SystemsTeleoperation and Haptic Systems
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