Fractional PI^λD^μ control and optimisation for vehicle active suspension

This paper presents an active suspension for a quarter-car model with two Degrees Of Freedom (DOF) using a fractional PI^λD ^μ controller. The active control is expressed as the summation of PI^λ and PD^μ, which use vertical acceleration of the body and suspension deflection, respectively, as input variables. The parameters of the controller are optimised using a Genetic Algorithm (GA). The simulation results indicate that the fractional PI^λD ^μ controller for the suspension system is effective in the vibration isolation of the vehicle body and has better performance than the classical PID controller.