Title :
Feedback control for a class of lipschitz nonlinear systems
Author_Institution :
Sch. of Math. & Phys., Univ. of Sci. & Technol. of Suzhou, Suzhou, China
Abstract :
The design of state feedback controllers and dynamic output feedback controllers is given for a class of Lipschitz nonlinear systems. We transform the nonlinear systems into linear parameater varying (LPV) systems by the use of the differential mean value theorem (DMVT). A sufficient condition is provided by using linear matrix inequalities (LMIs) and the state feedback controllers and dynamic output feedback controllers are gained. When the feedback control laws are applied to the systems, the closed-loop systems are globally asymptotically stable. A simulation example shows the feasibility and effectiveness of the conclusion.
Keywords :
asymptotic stability; closed loop systems; linear matrix inequalities; nonlinear systems; state feedback; Lipschitz nonlinear systems; closed-loop systems; differential mean value theorem; dynamic output feedback controllers; feedback control laws; globally asymptotically stable; linear matrix inequalities; linear parameater varying systems; state feedback controller design; state feedback controllers; Control systems; Feedback control; Linear feedback control systems; Linear matrix inequalities; Mathematics; Nonlinear control systems; Nonlinear systems; Output feedback; Physics; State feedback; Differential mean value theorem (DMVT); Feedback control; LMIs; Lipschitz nonlinear systems;
Conference_Titel :
Control and Decision Conference (CCDC), 2010 Chinese
Conference_Location :
Xuzhou
Print_ISBN :
978-1-4244-5181-4
Electronic_ISBN :
978-1-4244-5182-1
DOI :
10.1109/CCDC.2010.5498306
