Improved LMI representations for the analysis and the design of continuous-time systems with polytopic type uncertainty

Simple modifications to the representation of the bounded real lemma (BRL) in the linear continuous time-invariant case are introduced. These modifications reduce the overdesign that occurs in the analysis and the design of systems with polytopic-type uncertainties. A different Lyapunov function acc...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2001-04, Vol.46 (4), p.652-656
Main Author: Shaked, U.
Format: Article
Language:English
Subjects:
Automatic control
Control systems
Design engineering
Linear matrix inequalities
Lyapunov functions
Lyapunov method
Polytopes
Representations
Robust control
Satellites
Stability
State-space methods
Sufficient conditions
Uncertain systems
Uncertainty
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Summary:Simple modifications to the representation of the bounded real lemma (BRL) in the linear continuous time-invariant case are introduced. These modifications reduce the overdesign that occurs in the analysis and the design of systems with polytopic-type uncertainties. A different Lyapunov function accompanies each of the vertices of the uncertainty polytope, thus eliminating the need for quadratic stability or stabilizability. The advantages of these new representations are demonstrated by way of two examples.
ISSN:0018-9286
1558-2523
DOI:10.1109/9.917671