Estimating the conservatism of popov’ s criterion

Constantinos Boussios; Eric Feron

doi:10.2514/6.1996-3859

Estimating the conservatism of popov’ s criterion

Constantinos Boussios, Eric Feron

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Scopus citations

Abstract

We consider the problems of robust stability and performance analysis of linear systems subject to parametric uncertainties. The Popov criterion provides lower bounds of stability margins and upper bounds on robust performance. In this paper we propose a method for obtaining upper bounds on stability margin or lower bounds on robust H2 performance based on the outcome of the lower bound computation for the stability problem or the upper bound computation for the H2 performance problem. We make several numerical tests.

Original language	English (US)
Title of host publication	1996 Guidance, Navigation, and Control Conference and Exhibit
Publisher	American Institute of Aeronautics and Astronautics Inc, AIAA
Pages	1-11
Number of pages	11
DOIs	https://doi.org/10.2514/6.1996-3859
State	Published - Jan 1 1996
Externally published	Yes

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10.2514/6.1996-3859

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N2 - We consider the problems of robust stability and performance analysis of linear systems subject to parametric uncertainties. The Popov criterion provides lower bounds of stability margins and upper bounds on robust performance. In this paper we propose a method for obtaining upper bounds on stability margin or lower bounds on robust H2 performance based on the outcome of the lower bound computation for the stability problem or the upper bound computation for the H2 performance problem. We make several numerical tests.

AB - We consider the problems of robust stability and performance analysis of linear systems subject to parametric uncertainties. The Popov criterion provides lower bounds of stability margins and upper bounds on robust performance. In this paper we propose a method for obtaining upper bounds on stability margin or lower bounds on robust H2 performance based on the outcome of the lower bound computation for the stability problem or the upper bound computation for the H2 performance problem. We make several numerical tests.

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BT - 1996 Guidance, Navigation, and Control Conference and Exhibit

PB - American Institute of Aeronautics and Astronautics Inc, AIAA

ER -

Estimating the conservatism of popov’ s criterion

Abstract

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