Transfer function matrix identification from input—output frequency response data

✍ Scribed by Zhiqiang Gao; Bruce Tabachnik; Razvan V. Savescu

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 942 KB
• Volume: 331
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(94)90007-8

✦ Synopsis

A new formulation of transfer function matrix identtj?cation in frequency domain is introduced. It reduces the problem to a simple linear least square problem. It is shown that such a system identtjication problem is a special case of a matrix interpolation problem and much insight can be obtained by examining its algebraic characteristics. A new approach is proposed to determine the transfer function matrix of a multi-input and multi-output system from the input-output data. It eliminates the common assumption in the literature that the ,frequency response of the system is given. Its ef$ciency and practicality is superior to the existing methods, where the solution is obtained by solving a nonlinear least square problem using mathematical programming techniques. The simplicity of the new procedure makes it a viable candidate for real time implementation where systems can be identt$ed on-line. Unmodeled dynamics can also be better characterized.