Unstabilizability of Linear Unstable Systems With Input Limits

[+] Author and Article Information
C. C. H. Ma

Department of Electrical Engineering, The University of British Columbia, Vancouver, British Columbia, Canada V6T-1W5

J. Dyn. Sys., Meas., Control 113(4), 742-744 (Dec 01, 1991) (3 pages) doi:10.1115/1.2896484 History: Received September 05, 1990; Revised January 17, 1991; Online March 17, 2008


It is shown that a linear strictly unstable system with actuation limits cannot be stabilized globally, regardless of whatever control methodology is applied. This has important implications for control practices, especially for the control of unstable plants whose dynamics may vary abruptly during operation. It also implies that a feedback controller should be stable by itself, which further aggravates the problem of controlling certain unstable plants in practice.

Copyright © 1991 by The American Society of Mechanical Engineers
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