Optimal Design of Hedge-Algebras-Based Controller for Active Suspension Systems with Parameter Uncertainty

Active suspension systems are increasingly important in improving convenience and safety for modern vehicles. The present work performs the optimal design of the Hedge-algebras-based controller (HAC) in vibration control of the active suspension system of the quarter car models with uncertain parameters. The optimal goal is to minimize the body car acceleration, the suspension’s deflection, the relative tyre force, and the system’s oscillation time. Design variables include the reference ranges and fuzzy parameters, the fuzziness measures of negative primary terms and hedges, of state and control variables. The model’s uncertain parameters are the masses of the body car and the wheel. Bump and random road profiles are both used in the simulations. The simulation results, including the system’s time responses and investigations of the influence of uncertain parameters on the system’s control performance, show that the proposed controller is highly efficient and stable with uncertain parameters of the system's masses.