Switching Control Approach for Parametric Stabilization of Nonlinear Systems
The parametric stabilization of nonlinear systems with parametric uncertainty is considered in this paper by switching control strategy. First, the moving equilibrium problem for nonlinear systems with parameters variations is investigated. The existence of equilibrium involves the solution of a system of nonlinear algebraic equations. Then, by using multiple Lyapunov function, the sufficient condition of parametric stabilization for the nonlinear systems is formulated based on linear matrix inequality. Furthermore, the switching controllers are designed to be activated safely in the parametric stability region via switching logics. Furthermore, appropriate switching control law is designed to achieve the smooth switching of the nonlinear system between the parameters subsets. Finally, an example is given to illustrate the effectiveness of the proposed method.
Ning Chen Yutian Liu Bo Liu Yuqian Guo Guisheng Zhai
School of Information Science and Engineering, Central South University, Changsha 410083 Department of Mathematical Sciences, Shibaura Institute of Technology, Saitama 337-8570,Japan
国际会议
The 24th Chinese Control and Decision Conference (第24届中国控制与决策学术年会 2012 CCDC)
太原
英文
1423-1427
2012-05-23（万方平台首次上网日期，不代表论文的发表时间）