Title :
Synthesis of variable gain controllers for a class of uncertain nonlinear systems via piecewise Lyapunov functions
Author :
Oya, Hidetoshi ; Hagino, Kojiro
Author_Institution :
Inst. of Technol. & Sci., Univ. of Tokushima, Tokushima, Japan
Abstract :
This paper deals with a design problem of a variable gain controller for a class of uncertain nonlinear systems via piecewise Lyapunov functions. The variable gain controller is designed so as to reduce the effect of uncertainties and nonlinear perturbations. In this paper, on the basis of the concept of piecewise Lyapunov functions, we show sufficient conditions for the existence of the proposed variable gain controller. Finally, numerical examples are presented.
Keywords :
Lyapunov methods; control system synthesis; nonlinear control systems; uncertain systems; nonlinear perturbation effect reduction; piecewise Lyapunov functions; sufficient conditions; uncertain nonlinear systems; uncertainty effect reduction; variable gain controller design problem; variable gain controller synthesis; Gain; Linear matrix inequalities; Lyapunov methods; Nonlinear systems; Robustness; Symmetric matrices; Uncertainty;
Conference_Titel :
Control Conference (ECC), 2009 European
Conference_Location :
Budapest
Print_ISBN :
978-3-9524173-9-3
