Title :
Region of attraction estimates for LPV-gain scheduled control systems
Author :
Bruzelius, Fredrik ; Pettersson, Stefan ; Breitholtz, Claes
Author_Institution :
Control and Automation Laboratory, Department of Signals and Systems, Chalmers University of Technology, SE-412 96 Göteborg
Abstract :
Recent methods for gain scheduling controller design based on linear parameter-varying (LPV) systems offer a systematic way to obtain a nonlinear controller that covers different operating conditions. However, despite that the LPV synthesis part of the process of obtaining a gain scheduled controller is theoretically straight forward, the nonlinear closed loop system may be unstable for some operating conditions. This property is illustrated by a simple second order autonomous nonlinear system, the well known Van der Pol equation. Furthermore, a region of attraction estimate based on the LPV analysis for the nonlinear system is given.
Keywords :
Asymptotic stability; Linear matrix inequalities; Lyapunov methods; Nonlinear systems; Stability analysis; Trajectory; Gain scheduled control systems; Linear matrix inequalities; Linear parameter-varying systems; Lyapunov functions; Region of attraction;
Conference_Titel :
European Control Conference (ECC), 2003
Conference_Location :
Cambridge, UK
Print_ISBN :
978-3-9524173-7-9