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 L2 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...

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Bibliographic Details
Main Authors: Yanzi Miao, Lei Ma, Xiaoping Ma, Linna Zhou
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2015/514583
Description
Summary:We will consider the problem of fast sampling control for singularly perturbed systems subject to actuator saturation and L2 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 L2 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.
ISSN:1024-123X
1563-5147