Balancing Transformation of Nonlinear Singularly Perturbed Systems for Model Order Reduction

摘要：

This paper is concerned with the methodology of balancing transformation for singularly perturbed systems, which is nonlinear in both the slow and the fast variables. The boundary layer system in introduced and the energy functions are constructed for the slow and fast subsystem respectively. So, an approximate balancing form is investigated in two time scales. It is shown that this method gives accurate measurement to state component and greatly simplifies the process of calculation due to the nonexistence of the small singular perturbation parameter in energy functions.

关键词： Singularly Perturbed Fast-slow Subsystem Balancing Transformation Energy Functions

作者: Bo Meng Yuanwei Jing Huixin Tian

作者单位: School of Elactrical Engineering and Automatic, Tianjin Polytechnic University, TianJin, 300160 School of Information Science and Engineering, Northeastern University, Shenyang, 110004

会议类型: 国际会议

会议名称: The 22nd China Control and Decision Conference(2010年中国控制与决策会议)

会议地点: 徐州

会议语种:英文

页码: 3078-3081

在线出版日期: 2010-05-26（万方平台首次上网日期，不代表论文的发表时间）