On the Robustness of Mismatched Uncertain Dynamical Systems

[+] Author and Article Information
Y. H. Chen

Department of Mechanical and Aerospace Engineering, Syracuse University, Syracuse, NY 13244

J. Dyn. Sys., Meas., Control 109(1), 29-35 (Mar 01, 1987) (7 pages) doi:10.1115/1.3143815 History: Received November 10, 1986; Online July 21, 2009


We consider the robustness problem of uncertain dynamical systems which do not satisfy the so-called matching conditions. We employ the controls which assure practical stability of the associated matched dynamical system. After introducing the idea of measure of mismatch, various conditions are stated, whose satisfaction assures that the mismatched uncertain system is practically stable under such a control. We also show that, under certain conditions, uniform attractivity can be assured; this has the advantage of reducing the measure of mismatch, and hence places lesser restrictions on the allowable magnitude of the uncertainty.

Copyright © 1987 by ASME
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