Computing a robust D-stability bound using a parameter-dependent Lyapunov approach
Computing a robust D-stability bound using a parameter-dependent Lyapunov approach
- Author(s): O. Bachelier ; D. Peaucelle ; D. Arzelier
- DOI: 10.1049/ip-cta:20020729
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- Author(s): O. Bachelier 1 ; D. Peaucelle 2 ; D. Arzelier 2
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View affiliations
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Affiliations:
1: Bâtiment de mécanique, LAII-ESIP, Poitiers Cedex, France
2: Bâtiment de mécanique, LAAS-CNRS, Toulouse Cedex 4, France
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Affiliations:
1: Bâtiment de mécanique, LAII-ESIP, Poitiers Cedex, France
- Source:
Volume 149, Issue 6,
November 2002,
p.
505 – 510
DOI: 10.1049/ip-cta:20020729 , Print ISSN 1350-2379, Online ISSN 1359-7035
The problem of robust matrix root-clustering against additive structured uncertainty is addressed. A bound on the size of the uncertainty domain preserving matrix D-stability is derived from an LMI approach. A recently proposed sufficient condition for robust matrix D-stability with respect to convex polytopic uncertainty is used. It is relevant to the framework dealing with parameter-dependent Lyapunov functions. Using this condition, the problem of computing the robustness bound is formulated as a generalised eigenvalue problem, that enables the bound value to be maximised.
Inspec keywords: linear matrix inequalities; robust control; eigenvalues and eigenfunctions; feedback; stability; control system analysis
Other keywords:
Subjects: Linear algebra (numerical analysis); Stability in control theory; Control system analysis and synthesis methods
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