Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 840986, 13 pages
http://dx.doi.org/10.1155/2012/840986
Research Article

Observer-Based Mixed ℋ 2 / ℋ ∞ Tracking Control for Continuous-Time Systems with Integral Action and Pole Placement

Huxiong Li

Oujiang College, Wenzhou University, Wenzhou, Zhejiang 325027, China

Received 24 January 2012; Accepted 3 March 2012

Academic Editor: Victor S. Kozyakin

Copyright © 2012 Huxiong Li. 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 tracking problem for continuous-time systems is investigated. It is assumed that the states of the systems are not available. An observer is firstly designed to estimate the states by using the ℋ ∞ method. The control action is consist of a state-feedback control, an integral component, and a feedforward loop. The linear-matrix-inequality region is used to constrain the eigenvalue location for the closed-loop systems. The control gains can be obtained by solving a sequence of linear matrix inequalities (LMIs) which can guarantee the mixed ℋ 2 / ℋ ∞ performance for the closed-loop systems.