RESEARCH PAPERS: Papers on Bilinear Control

On the Efficacy of Nonlinear Control in Uncertain Linear Systems

[+] Author and Article Information
G. Leitmann

Department of Mechanical Engineering, University of California, Berkeley, Calif. 94720

J. Dyn. Sys., Meas., Control 103(2), 95-102 (Jun 01, 1981) (8 pages) doi:10.1115/1.3139661 History: Received February 02, 1981; Online July 21, 2009


We consider a class of linear dynamical systems containing uncertain elements and subject to uncertain inputs, and for which either uncertain state or output is available. We construct a feedback control, utilizing measured state or estimated state, which guarantees that every system response is ultimately bounded within a certain neighborhood of the zero state. Performance resulting from use of this control is compared with that due to the use of purely linear feedback control.

Copyright © 1981 by ASME
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