Model reduction of SISO systems by Routh expansion and balancing method

✍ Scribed by Ying-Chin Lee; Chyi Hwang; Jyh-Haur Hwang

• Book ID: 103092118
• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 768 KB
• Volume: 331
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(94)90003-5

✦ Synopsis

Among various model reduction methods ,for single-input single-output (SISO)

systems, the balancing method has recently received much attention due to its many attractive properties. However, it is often criticized that the methodfails to give a reduced-order model without having steady-state response error for a step input. To remedy this drawback, we propose in this paper a new reduction procedure. It utilizes the Routh canonical expansion to decompose the,full SISO s_vstem, and then applies the balancing method to reduce the order of a decomposed subsystem. A reduced-order model is then synthesized ,from the first Routh expansion coefjcients and the reduced-order subsystem. The reduced-order model obtained shares good properties that are inherent to the Routh approximation method and the balancing truncation method.