A new robust D-stability condition for real convex polytopic uncertainty. (English) Zbl 0977.93067

Peaucelle, D.; Arzelier, D.; Bachelier, O.; Bernussou, J.

Syst. Control Lett. 40, No. 1, 21-30 (2000).

Summary: The problem of robust D-stability analysis with respect to real convex polytopic uncertainties is tackled. A new LMI-based sufficient condition for the existence of parameter-dependent Lyapunov functions is proposed. This condition generalises previously published conditions. Numerical comparisons with quadratic stability results as well as previous results based on parameter-dependent Lyapunov functions illustrate the relevance of this new condition. Finally, this result appears to be promising for robust multi-objective performance analysis and control synthesis purposes.

MSC:

93D09	Robust stability
93D30	Lyapunov and storage functions
15A39	Linear inequalities of matrices

Keywords:

robust stability; quadratic stability; parametric uncertainty; parameter-dependent Lyapunov functions; convex polytopic uncertainties

Software:

RoMulOC; LMI toolbox; Sdpsol

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