Sliding mode control method based on rapid vibration reduction reaching law

The invention discloses a sliding mode control method based on a rapid vibration reduction reaching law, and belongs to the technical field of automatic control. The sliding mode control method comprises the following steps: establishing a state-space equation of a second-order nonlinear system; designing a sliding mode variable matrix; designing a rapid vibration reduction reaching law; the rapid vibration reduction reaching law characteristic is analyzed; designing a sliding mode controller based on a fast vibration reduction reaching law; the method has the advantages that by analyzing the traditional index reaching law and the power reaching law, the rapid vibration reduction reaching law is designed, and compared with an existing reaching law, the form is simple, and the number of parameters needing to be set is small; the time for the system state variable to reach the sliding mode surface is further shortened; the buffeting amplitude of the control signal output by the controller is further weakened; t