Guaranteed cost control of uncertain nonlinear systems via polynomial lyapunov functions

In this paper, we consider the problem of guaranteed cost control for a class of uncertain nonlinear systems. We derive linear matrix inequality conditions for the regional robust stability and performance problems based on Lyapunov functions which are polynomial functions of the state and uncertain...

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Veröffentlicht in:	IEEE transactions on automatic control 2002-09, Vol.47 (9), p.1575-1580
Hauptverfasser:	Coutinho, D., Trofino, A., Minyue Fu
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Computer science control theory systems Control system synthesis Control systems Control theory. Systems Cost function Dynamical systems Exact sciences and technology Initial conditions Linear matrix inequalities Lyapunov functions Lyapunov method Mathematical analysis Mathematical models Nonlinear control systems Nonlinear dynamics Nonlinear systems Performance analysis Polynomials Robust stability Synthesis
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Zusammenfassung:	In this paper, we consider the problem of guaranteed cost control for a class of uncertain nonlinear systems. We derive linear matrix inequality conditions for the regional robust stability and performance problems based on Lyapunov functions which are polynomial functions of the state and uncertain parameters. The performance index is calculated over a set of initial conditions. Also, we discuss the synthesis problem for a class of affine control systems. Numerical examples illustrate our method.
ISSN:	0018-9286 1558-2523
DOI:	10.1109/TAC.2002.802737