Feedback Control for a Class of Lipschitz Nonlinear Systems
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.
Lipschitz nonlinear systems Feedback control LMIs Differential mean value theorem (DMVT)
Qin Fu
School of Mathematics and Physics, University of Science and Technology of Suzhou, Suzhou 215009, China
国际会议
The 22nd China Control and Decision Conference(2010年中国控制与决策会议)
徐州
英文
1614-1618
2010-05-26(万方平台首次上网日期,不代表论文的发表时间)