LPV control active suspension system

The ℒ₂ gain control problem for disturbance attenuation in Linear Parameter Varying (LPV) Systems with saturating actuators has been addressed in this paper. The active suspension system which is used as a benchmark control problem is subjected to ℒ₂ disturbances and actuator saturation. Actuator saturation nonlinearity is reformalized in terms of some convex hull of linear feedback. This point of view allows us to construct ℒ₂ control problem having actuator saturation nonlinearities as a convex optimization problem. Nested ellipsoids have been used to measure the stability and disturbance rejection capabilities of the control system. At this point, the inner ellipsoid covers the initial conditions of states whereas the outer ellipsoid designates the ℒ₂ gain of the system. Finally, the proposed method has been applied to an active suspension system having linear time-varying parameter such as suspension spring constant. The results have been verified on a real experimental system. Experimental results demonstrate the efficiency of the proposed method.