Active control strategy of high-speed elevator horizontal vibration based on LMI optimization

Abstract

In order to solve the problem of horizontal vibration of high-speed elevator caused by rail roughness, in this paper, the active control strategy of horizontal vibration suppression of high-speed elevator based on linear matrix inequality (LMI) is studied by considering the constraints of stroke and power of the actuator of active guide shoe. Firstly, considering the constraints of the stroke and power, a 6-DOFs horizontal vibration model of the high-speed elevator car system is established, then its dynamic equation, state space equation, and the calculation formula of the working stroke and the force of the actuator are derived. Secondly, the generalized H2 norm is used to describe the above constraints, and the H2 norm is selected to minimize the vibration acceleration output of the car system. Based on LMI optimization technology, a H2/generalized H2 hybrid control strategy is proposed, which attributes the control law of car system to solving the semi-definite programming problem with LMI constraints. Finally, by MATLAB, the vibration acceleration of elevator is simulated and analyzed under three conditions: no-load, medium-load and full-load. The results show that, after using the H2/generalized H2 control method, the mean, maximum and root mean square values of the horizontal vibration acceleration of the car system have a decrease of more than 40%, and the constraints of stroke and power are satisfied. Therefore, the H2/generalized H2 hybrid control strategy proposed in this study can effectively suppress the horizontal vibration of high-speed elevators.