A Frequency Domain Criterion for Robustly Stabilizing a Family of Interval Plants

[+] Author and Article Information
Yongdong Zhao, Suhada Jayasuriya

Department of Mechanical Engineering, Texas A & M University, College Station, TX 77843-3123

J. Dyn. Sys., Meas., Control 117(1), 98-104 (Mar 01, 1995) (7 pages) doi:10.1115/1.2798529 History: Received September 23, 1991; Revised November 30, 1992; Online December 03, 2007


Considered in this paper is the problem of robust stabilization of a family of interval plants by a single fixed compensator. A frequency domain sufficient condition determines the closed-loop stability. In particular if a specially constructed frequency function does not, at any frequency ω ∊ [0, ∞], intersect the box [−1, 1] × [−1, 1] in the complex plane then the entire closed loop family is stable. Also identified is a class of interval plants for which the sufficient condition in fact does become necessary.

Copyright © 1995 by The American Society of Mechanical Engineers
Topics: Stability
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