Improve Global Sliding Mode Control And Application Research

As one of the important branch of the modern control theory,sliding mode variable structure control has been widely used with the advantages of simple physical realization,uncertainty of the internal parameters of the system and external disturbance on the control of linear systems and nonlinear systems.The response of the traditional sliding mode control can be divided into the reaching mode and sliding mode,however,the system robustness to uncertainty reflected only in the sliding mode,that is,it does not have the robustness of the whole.Global sliding mode control method is introduced to achieve the full robustness of the controlled system by introducing the whole time variation factor to the system from the beginning to the sliding mode switching surface,but only when the time approaches infinity,the evolution of the global sliding mode switching surface can be realized.In this paper,an improved global sliding mode control strategy is proposed for the traditional linear sliding mode surface which can not be turned into the traditional linear sliding mode in the global sliding mode control,the nonlinear function of the design of dynamic sliding surface will be global in the switching surface single attenuation function replace three first-order derivative of the exponential decay function and design a new function can decay the 0 at a given moment in time,so as to ensure the finite time sliding mode switch for traditional linear switching surface conversion,in order to ensure the system global robustness effectively reduce the transition time,which can accelerate the system dynamic response speed,shorten the convergence time.The equivalent global sliding mode control law is designed for the controlled object with the n order uncertain continuous system,and the stability of the controller is proved by the Lyapunov function.To validate the proposed control strategy in practical application,the design of improved global sliding mode control law is applied to power system chaos control and not deterministic hysteretic chaotic neuron/networks with deterministic delay chaotic neuron/network synchronization control,and through the comparison and simulation experiments respectively to verify the superiority of the proposed method compared to the ordinary global sliding mode control method.In the controlled object for continuous systems based on further exploration,this method is applied to the discrete time systems,to reconstruct the discrete form of the decay function,and design the improved global sliding mode control law based on the discrete reaching law,then the feasibility is verified by the simulation experiments.