Fast sampling control of singularly perturbed systems with actuator saturation and \(L_2\) disturbance (Q1665883)

Summary: We will consider the problem of fast sampling control for singularly perturbed systems subject to actuator saturation and \(L_2\) disturbance. A sufficient condition for the existence of a state feedback controller is proposed. Under this controller, the boundedness of the trajectories in the presence of \(L_2\) disturbances is guaranteed for any singular perturbation parameter less than or equal to a predefined upper bound. To improve the capacity of disturbance tolerance and disturbance rejection, two convex optimization problems are formulated. Finally, a numerical example is presented to demonstrate the effectiveness of the main results of this paper.