A linear programming oriented procedure for quadratic stabilization of uncertain systems

This paper gives a new necessary and sufficient condition for linear quadratic stabilization of linear uncertain systems when both the dynamic as well as the control matrix are subject to uncertainty. A constructive numerical procedure is defined to check the condition and it furthermore provides a...

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Bibliographic Details
Published in:Systems & control letters 1989-07, Vol.13 (1), p.65-72
Main Authors: Bernussou, J., Peres, P.L.D., Geromel, J.C.
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control system synthesis
Control theory. Systems
cutting-plane approach
Exact sciences and technology
linear programming
quadratic stabilization
Robustness
state feedback
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Summary:This paper gives a new necessary and sufficient condition for linear quadratic stabilization of linear uncertain systems when both the dynamic as well as the control matrix are subject to uncertainty. A constructive numerical procedure is defined to check the condition and it furthermore provides a stabilizing linear feedback gain. Some experiments are presented.
ISSN:0167-6911
1872-7956
DOI:10.1016/0167-6911(89)90022-4