Vibration suppression of vehicle active suspension systems in finite frequency domian

In this paper, the problem of H_¿ control for active vehicle suspension systems in finite frequency domain is investigated. By using the generalized Kalman-Yakubovich-Popov (KYP) lemma, the H_¿ norm from the disturbance to the controlled output is decreased in specific frequency band to improve the ride comfort. Compared with the entire frequency approach, the finite frequency approach suppresses the vibration more effectively for the concerned frequency range and the time-domain constraints are guaranteed in the controller design. A state feedback controller is designed in the framework of linear matrix inequality (LMI) optimization. A quarter-car model with active suspension system is considered in this paper and the simulation results illustrate the effectiveness of the proposed approach.