L1 OPTIMAL METHOD APPLIED TO BOUNDARY CONTROL OF MAGNETORHEOLOGICAL SHOCK ABSORBER UNDER IMPACT LOAD

摘要

The use of MR shock absorber under impact loads is of great interests for scientists all around the world. The main task on the use of the MR shock absorber is to limit the responses, such as velocity or displacement or acceleration below some critical values in order to keep the system in the 'safe' state. To precisely control the MR shock absorber under impact loads is critical issue in the use of the damper. However, it remains two primary problems in the control of the MR devices. Firstly, the differences between the theoretical model and the practical behaviors of the MR devices are not the factors which can be eliminated. The other is that practical impact loads are not the same in different times, it can not be evaluated or modeled by using probability and statistics or other mathematical model. In the recent years, L1 optimal control method which is aimed to minimize the maximum peak-to-peak gain of the time-domain bounds on the amplitude of signals was newly developed. L1 optimal control method, which takes the model error and the uncertainty of loads into account, is a robust control strategy. It can reduce the maximum response of MR shock absorber effectively. In this paper, L1 optimal method applied to boundary control of MR shock absorber under impact loads is introduced. Some simulations of the MR shock absorber using L1 optimal control method under impact loads are achieved with the help of MATLAB/SIMULINK. It is shown that, under the impact loads, the maximum responses of MR shock absorber using L1 optimal control method can be cut down in a large content.