NDLI: Robust Stability of Interval Plants: A Review

Content Provider	IEEE Xplore Digital Library
Author	Chapellat, H. Dahleh, M. Bhattacharyya, S. P.
Copyright Year	1990
Description	Author affiliation: Department of Electrical Engineering, Texas A & M University, College Station, Texas 77843 (Chapellat, H.; Dahleh, M.; Bhattacharyya, S. P.)
Abstract	In this paper we present a complete set of results concerning the robust stability analysis of single input single output Interval Plants in continuous time. Robust stability is considered under bounded real perturbations, non linear, sector-bounded perturbations, and unstructured (H¿) feedback perturbations. In each case, a solution to the problem is given based on the generalization of Kharitonov's theorem obtained in [1] and called the Box Theorem. The Box Theorem gives necessary and sufficient conditions for stabilization of an interval plant. This theorem introduced the so-called Kharitonov Segments associated with an interval plant, and the paper shows that these segments play a fundamental role in the robust stability analysis of such systems. Next we analyse the absolute stability of a closed loop system containing an interval plant in the forward path. The resulting theorem gives conditions for robust stability under nonlinear perturbations. This theorem is based on a result concerning the strict positive realness of families of interval rational functions. Finally, robust stability under unstructured (H¿ type) perturbations is considered and we deduce the necessary and sufficient conditions for robust stabilization in the presence of perturbations of this type. This result is again a generalization of a theorem on the H¿ norm of interval rational functions.
Starting Page	2548
Ending Page	2553
File Size	415820
Page Count	6
File Format	PDF
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1990-05-23
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Robust stability Sufficient conditions Stability analysis Closed loop systems Transfer functions Linear feedback control systems Nonlinear control systems Control systems Robust control Robustness
Content Type	Text
Resource Type	Article

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