An improved LMI condition for robust D-stability of uncertain polytopic systems

A sufficient condition for robust D-stability of linear systems with polytope type uncertainties is proposed. The result is based on a linear parameter-dependent Lyapunov function obtained from the feasibility test of a set of linear matrix inequalities (LMIs) defined at the vertices of the polytope...

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Veröffentlicht in:	IEEE transactions on automatic control 2003-03, Vol.48 (3), p.500-504
Hauptverfasser:	Leite, V.J.S., Peres, P.L.D.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Automatic control Computer science control theory systems Control system analysis Control system synthesis Control theory. Systems Exact sciences and technology Feasibility Inequalities Linear matrix inequalities Linear systems Lyapunov functions Lyapunov method Polytopes Robust stability Robustness Stability analysis Testing Uncertain systems Uncertainty
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Beschreibung
Zusammenfassung:	A sufficient condition for robust D-stability of linear systems with polytope type uncertainties is proposed. The result is based on a linear parameter-dependent Lyapunov function obtained from the feasibility test of a set of linear matrix inequalities (LMIs) defined at the vertices of the polytope. This improved LMI condition encompasses previous results based on additional inequalities, as well as results based on extra variables.
ISSN:	0018-9286 1558-2523
DOI:	10.1109/TAC.2003.809167