Fast Sampling Control of Singularly Perturbed Systems with Actuator Saturation and L2 Disturbance

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.