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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.
Hu et al. (Wed,) studied this question.