提出一种基于双幂次组合函数趋近律的新型滑模控制方案.与现有的快速幂次或双幂次趋近律相比,具有更快的收敛速度,同时还保持了全局固定时间收敛特性,收敛时间上界与滑模初值无关.当系统存在有界扰动时,能够使滑模变量在有限时间内收敛到稳态误差界内,同时其稳态误差要小于现有方法的.仿真实验验证了该方法的有效性及理论分析的正确性.%A novel sliding control approach based on double power combination function reaching law was proposed.The proposed reaching law has faster convergence speed in comparison with fast power/double power reaching law,and it also has the characteristic of global fixed-time convergence,which means the upper bound of convergence time is independent of the initial value of sliding mode variables.It was proved that for a class of bounded external disturbance,the sliding mode variable can converge to a proposed steady-state error bounds in finite time,and the value of the steady-state error is less than the previous reaching law.Simulation results show that the validity of conclusion is confirmed.
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