Negative Imaginary Balancing for Mode Reduction of LTI Negative Imaginary Systems

摘要：

　　In this paper,we are dedicated to solve the model order reduction problems of negative imaginary linear-time invariant(LTI)systems in the balancing-related framework.A negative imaginary balanced truncation algorithm was proposed,wherein solving negative imaginary Lure equations or Riccati equations is involved.It is shown that the algorithm generate negative imaginary preserving reduced-order model,besides,the issue of approximation error between the original system and the reduced-order model was discussed and a multiplicative type error bound was provided.Finally,a numerical example is included for illustration.

关键词： Negative Imaginary Systems Balanced Truncation Riccati Equations

作者: Kun Tu Xin Du Peibing Fan

作者单位: School of Mechatronic Engineering and Automation,Shanghai University,Shanghai,200072,P.R.China

会议类型: 国际会议

会议名称: 第26届中国控制与决策会议(2014 CCDC)

会议地点: 长沙

会议语种:英文

页码: 4234-4239

在线出版日期: 2014-05-31（万方平台首次上网日期，不代表论文的发表时间）