Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 586279, 13 pages
http://dx.doi.org/10.1155/2012/586279
Research Article

Robust Anti-Windup Control Considering Multiple Design Objectives

Dongming Ge,1 Guanghui Sun,2 and Hamid Reza Karimi3

1Beijing Institute of Spacecraft System Engineering, Beijing 100094, China
2School of Astronautics, Harbin Institute of Technology, Harbin 150001, China
3Faculty of Engineering and Science, University of Agder, Grimstad 4879, Norway

Received 20 April 2012; Accepted 31 July 2012

Academic Editor: Jun Hu

Copyright © 2012 Dongming Ge 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

A new saturation control technique is proposed to design multiobjective and robust anti-windup controllers for linear systems with input saturations. Based on the characterization of saturation nonlinearities and modeling uncertainties via integral quadratic constraints (IQCs), this method considers a mixed H2/H∞ performance indexes while maintaining dynamic constraints on the controller. The analysis and synthesis conditions are presented in terms of scaled linear matrix inequalities (LMIs). The proposed control algorithm can improve the performance of the input-constrained system while also guaranteeing robustness with respect to the modeling uncertainties. Finally, a numerical example is given to illustrate the effectiveness of the developed techniques.