This paper aims to improve an active suspension system of vehicles by developing an optimal control strategy. Design/methodology/approach This work proposes a Linear Matrix Inequality (LMI) hybrid based on Liner Quadratic Integral LQI. The LMI-LQI hybrid closed-loop control is used to enhance the main parameters for the closed-loop control of the active suspension system to compensate for the dead zone nonlinearity effect in the actuator and enhance the dynamic performance of the system. An active suspension system of a quarter-vehicle with 3 DOF is considered to examine the system. Findings MATLAB/Environment was used to simulate a comparison between the proposed active control LMI-LQI system with dead zone input performance and active control LMI-LQI system performance with passive system performance. Research limitations/implications It is concluded that the proposed hybrid control improves the system performance in terms of ride comfort and safety by reducing the RMS (root mean square) seat acceleration by 93% for the LMI-LQI control system with dead zone input and 97% for the LMI-LQI system compared to the passive system. In addition, the suspension travel is reduced by 82% compared to the passive system. Originality/value The LMI-LQI control technique is proposed to design active suspension systems. According to the simulated results, the controller action is robust and realisable because it has the potential to minimise the nonlinear effect of the dead zone and the vertical acceleration, thus enhancing ride comfort.
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