SM identification of approximating models for H∞ robust control

✍ Scribed by L. Giarré; M. Milanese

• Publisher: John Wiley and Sons
• Year: 1999
• Tongue: English
• Weight: 193 KB
• Volume: 9
• Category: Article
• ISSN: 1049-8923
• DOI: 10.1002/(sici)1099-1239(199905)9:6<319::aid-rnc407>3.0.co;2-v

✦ Synopsis

Set Membership (SM) H

identi"cation of mixed parametric and non-parametric models is investigated, aimed to estimate a low-order approximating model and an identi"cation error, giving a measure of the unmodelled dynamics in a form well suited for H control methodologies. In particular, the problem of estimating the parameters of the parametric part and the H bound on the modelling error is solved using frequency domain data, supposing l bounded measurement errors and that the system to be identi"ed is exponentially stable. The e!ectiveness of the proposed procedure is tested on some numerical examples, showing the advantages of the proposed methods over the existing non-parametric H identi"cation approaches, in terms of lower model order and of tightness in the modelling error bounds.