Reduced Conservatism in the Ultimate Boundedness Control of Mismatched Uncertain Linear Systems

[+] Author and Article Information
Rama K. Yedavalli

Department of Electrical Engineering, The University of Toledo, Toledo, Ohio 43606

Z. Liang

Department of Mechanical Engineering, Stevens Institute of Technology, Hoboken, N.J. 07030

J. Dyn. Sys., Meas., Control 109(1), 1-6 (Mar 01, 1987) (6 pages) doi:10.1115/1.3143813 History: Received October 10, 1985; Online July 21, 2009


This paper addresses the aspect of the control of uncertain linear systems based on the theory of ultimate boundedness. A similarity transformation on the original system is proposed which yields a better decomposition of the matched and mismatched parts and/or a less conservative bound on the mismatched perturbation. The proposed method can be applied to both zero as well as nonzero set point control. A simple example is presented to illustrate the proposed methodology.

Copyright © 1987 by ASME
Topics: Linear systems
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