Graphical stability robustness tests for linear time-invariant systems: generalizations of Kharitonov´s stability theorem

Author

Anagnost, John J. ; Desoer, Charles A. ; Minnichelli, Robert J.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA, USA

fYear

1988

fDate

7-9 Dec 1988

Firstpage

509

Abstract

The authors derive two graphical tests for the U-Hurwitz stability of convex polyhedra of polynomials. The first is a Nyquist-type test, which has been extended to arbitrary connected sets of polynomials. The second is a root-locus-type test, previously known as the edge theorem. A finite test based on the root-locus-type result is developed. All results are extended to distributed-parameter systems. For the polyhedral case, although the root-locus-type test has a finite implementation, it is concluded that the Nyquist-type test will in general be more useful. The analysis is motivated by an elementary proof of Kharitonov´s stability theorem

Keywords

distributed parameter systems; linear systems; polynomials; root loci; stability; Kharitonov´s stability theorem; Nyquist-type test; U-Hurwitz stability; distributed-parameter systems; edge theorem; graphical tests; linear systems; root-locus-type test; stability robustness tests; time-invariant systems; Aircraft; Computational complexity; Constraint theory; Distributed parameter systems; Polynomials; Robust stability; Stability analysis; System testing;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1988., Proceedings of the 27th IEEE Conference on

Conference_Location

Austin, TX

Type

conf

DOI

10.1109/CDC.1988.194364

Filename

194364