Model Reduction of Linear Systems over Finite-frequency Intervals via Frequency-dependent Balanced Truncation: Singleton Case
The finite-frequency model reduction problem (FFMRP) was revisited, reformulated and rediscovered in this paper. Inspired by the Generalized KYP (GKYP) Lemma 4 and classic balanced truncation (BT) method, it is conceived and believed that there exists a generalized frequency dependent balanced truncation (FDBT) method solving the FFMRP perfectly. For the special singleton case (i.e. the systems operating at a fixed frequency), the conceived FDBT was successful developed. FDBT generate reduced-order model with an explicit frequency dependent approximation error bound which is not greater than the error bound obtained by the classic BT. A ladder RLC circuit example was carried out to illustrate the advantage of FDBT. Although the FDBT in this paper was incomplete and cannot deal with the general. nite-frequency cases, it is believed that this results paved the way for the. nal solution of FFMRP.
Model reduction Finite frequency Balanced Truncation Generalized Kalman-Yakubovich-Popov (GKYP) lemma
Xin Du Guang-Hong Yang Dan Ye
Faculty of Electrical Engineering, Mathematics and Computer Science, Shanghai University, 7500 Shang College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110004,
国际会议
2011 China Control and Decision Conference(2011中国控制与决策会议 CCDC)
四川绵阳
英文
1374-1379
2011-05-23（万方平台首次上网日期，不代表论文的发表时间）