Research on Sliding Mode Control Algorithm Based on New Power Exponential Reaching Law
Aiming at the problems of chattering and slow convergence in traditional sliding mode control,a new a-daptive sliding mode control method based on exponential reaching law is proposed in this paper.First of all,the a-bove approach law combines the characteristics of hyperbolic tangent function and sign function to improve the switc-hing function;The sliding mode coefficient influence factor introduces system error and sliding mode state changes,enabling it to adaptively adjust the convergence speed of the sliding mode arrival process and adjust it in stages;Fur-thermore,the characteristics of the switching function are used to analyze the range of the bilateral switching interval of the approaching sliding mode surface.Secondly,the convergence area and convergence time of the adaptive new power exponential reaching law are analyzed,and the existence,reachability and stability of the reaching law are proved.Finally,the new power exponential reaching law is compared with other traditional reaching laws applied to the classical second-order system.The simulation results show that the new power exponential reaching law can better improve the convergence rate and reduce chattering.
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