DocumentCode
2240355
Title
LMI based robust LSVF stabilization of a class of nonlinear systems
Author
Sarkar, Chaity ; Sengupta, Aparajita
Author_Institution
Department of Electrical Engineering, Indian Institute of Engineering Science and Technology, Shibpur, Howrah-711103, West Bengal, India
fYear
2015
fDate
28-30 July 2015
Firstpage
569
Lastpage
574
Abstract
A method is proposed to design Linear Matrix Inequalities (LMI) based robust controllers for a class of nonlinear systems. Nonlinear functions are approximated by their upper bounds using convex-concave extensions. The contribution of the paper lies in the fact that the control law obtained is in the form of Linear State Variable Feedback (LSVF) and it is robust with respect to the parametric uncertainties. A new control Lyapunov function using Lie Derivatives is also introduced. A numerical example illustrates the steps of the design.
Keywords
Conferences; Linear matrix inequalities; Lyapunov methods; Nonlinear systems; Robustness; Uncertainty; Upper bound;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (CCC), 2015 34th Chinese
Conference_Location
Hangzhou, China
Type
conf
DOI
10.1109/ChiCC.2015.7259697
Filename
7259697
Link To Document