Robust Control Design for Retarded Discrete-Time Systems

[+] Author and Article Information
El Houssaine Tissir

 LESSI Department of Physics, Faculty of Sciences, B.P. 1796 Fès-Atlas, 30000 Fès Moroccoelẖtissir@yahoo.fr

J. Dyn. Sys., Meas., Control 129(1), 72-76 (Apr 28, 2006) (5 pages) doi:10.1115/1.2397154 History: Received November 22, 2004; Revised April 28, 2006

This paper focuses on the analysis and synthesis of a robust stabilizing controller for linear discrete time systems with norm-bounded time varying uncertainties. Delay independent robust stability conditions are derived and two synthesis methods are presented. One method is to construct a robust memoryless state feedback control law from the solutions of linear matrix inequalities. The other method consists of designing robust observer-based output feedback controller. The results are expressed in termes of linear matrix inequalities. A comparison with μ∕LDI tests is presented. Furthermore, numerical examples are given for illustration.

Copyright © 2007 by American Society of Mechanical Engineers
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