A Simple Method for L2 Approximation of Unstable and Nonminimum-Phase Systems

摘要：

A simple performance-oriented method is proposed for approximation the unstable and nonminimum-phase systems. The performance index is taken to be a frequency-domain L2-norm of the error between the step responses of the original and the reduced model. A frequency-domain weighted recursive least squares (RLS) algorithm is deduced and adopted to search for the optimal parameters of the approximation model. A numerical example is used to show the effectiveness of the proposed scheme. It is shown that the approximation models obtained by the proposed scheme yield zero steady-state gain errors and have the same RHP pole and RHP zero as the original system, resulting in well-matched dynamic behavior.

关键词： Model reduction L2 Approximation Unstable and/or Nonminimum-Phase Systems Frequency-Domain Weighted Recursive Least Squares (RLS)

作者: Ping Zhou Tianyou Chai Yanlin Wu

作者单位: Automation Research Center, Northeastern University, Shenyang Liaoning 110004, China Communication Command Department, Academy of Communication Command, Wuhan 430010, China

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: 2620-2624

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）