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Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 326876, 19 pages
http://dx.doi.org/10.1155/2012/326876
Research Article

The Practical Stabilization for a Class of Networked Systems with Actuator Saturation and Input Additive Disturbances

Department of Applied Mathematics, Harbin University of Science and Technology, Harbin 150080, China

Received 28 May 2011; Revised 9 August 2011; Accepted 17 August 2011

Academic Editor: Yurong Liu

Copyright © 2012 Dongyan Chen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The practical stabilization problem is investigated for a class of linear systems with actuator saturation and input additive disturbances. Firstly, the case of the input additive disturbance being a bounded constant and a variety of different situations of system matrices are studied for the three-dimensional linear system with actuator saturation, respectively. By applying the Riccati equation approach and designing the linear state feedback control law, sufficient conditions are established to guarantee the semiglobal practical stabilization or oscillation for the addressed system. Secondly, for the case of the input additive disturbances being time-varying functions, a more general class of systems with actuator saturation is investigated. By employing the Riccati equation approach, a low-and-high-gain linear state feedback control law is designed to guarantee the global or semiglobal practical stabilization for the closed-loop systems.