On the Global Stabilization of a Class of Nonlinear Singularly Perturbed Systems Using Nonlinear H-infinity Control Approach
INTERNATIONAL JOURNAL OF CONTROL(2023)
摘要
In this paper, a stabilizing controller for a class of nonlinear singularly perturbed systems is designed by using nonlinear H-infinity control approach. Since the stability and L-2-gain of the uncertainty block does not depend on the perturbation parameter, it can be referred as a robust controller. Also, through two theorems, the local and global stabilization of the controlled system are proven. Design procedure is discussed. The proposed approach is used to design a stabilizing controller for the Lorenz system with some specific parameters. The controller can globally stabilize the Lorenz system, while the pervious methods presented for the nonlinear singularly perturbed systems can only stabilize it locally, or even are unable to stabilize it.
更多查看译文
关键词
Nonlinear singularly perturbed systems,nonlinear H-infinity control,small-gain theorem
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要