Taylor series approach to system identification, analysis and optimal control

✍ Scribed by S.G. Mouroutsos; P.D. Sparis

• Publisher: Elsevier Science
• Year: 1985
• Tongue: English
• Weight: 642 KB
• Volume: 319
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(85)90056-0

✦ Synopsis

The problems of system identification, analysis and optimal control have been recently studied using orthogonalfunctions. The speci$c orthogonalfunctions used up to now are the Walsh, the block-pulse, the Laguerre, the Legendre, the Chebyshev, the Hermite and the Fourierfunctions. In the present paper solutions to these problems are derived using the Taylor series expansion. The algorithms proposed here are similar to those already developed for the orthogonalfunctions ; however, due to the simplicity of the operational matrix of integration, the Taylor series presents considerable computational advantages compared with the other polynomial series, provided that the input and the output signals may be assumed to be analytic functions oft.