Observer-based robust H vibration control of a half-car active suspension system: A finite-time approach

In this chapter, we investigate the observer-based finite-time robust H ∞ vibration control problem for half-car active suspension systems with actuator parametric uncertainties and nonlinearities. The objective is to derive a suitable robust vibration controller which makes the vibration of the closed-loop suspension system be finite-time stabilizable and satisfies the given H ∞ performance index. Applying the Lyapunov function approach, we establish sufficient conditions to control the bounce and pitch vibrations in half-car active suspension system, stabilize the attitude of the vehicle, and improve the riding comfort. The observer-based finite-time robust H ∞ vibration controller gain parameters can be solved directly by using the existing linear matrix inequalities optimization techniques. Finally, a half-car active suspension model is used to illustrate the feasibility and validity of the proposed methods.