LMI Design of Sliding Mode Robust Control for Electric Linear Load Simulator

For a linear steering gear electric linear load simulation system (ELLS), a sliding mode variable structure control strategy based on linear matrix inequality (LMI) design is proposed. First of all, aiming at the problem of redundant force interference in the actual dynamic loading process of the system, on the basis of establishing the state space equation of the ELLS, the LMI sliding mode variable structure controller is designed, which can be compensated only by the calculation of LMI. Secondly, in order to solve the problem of high frequency noise caused by the differential of the traditional sliding mode to the measured output value, the sliding mode controller (SMC) designed based on LMI can control the system accurately only by measuring the output value of the system, and the convergence of the designed controller is proved by Lyapunov function. Finally, a Simulink simulation model is built to verify the accurate control of the system by the SMC based on LMI.