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.

Issue Section:
Technical Briefs
Topics:
Stability
1.
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Root Locations of an Entire Polytope of Polynomial: It Suffices to Check the Edges
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3.
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4.
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6.
Anagnost, J., Desoer, C., and Minnichelli, R., 1989, “Generalized Nyquist Tests for Robust Stability: Frequency Domain Generalizations of Kharitonov’s Theorem,” Robustness in Identification and Control, M. Milanese, R. Tempo, and A. Vicino, eds., Plenum, NY, pp. 79–96.
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