System order reduction using the induced operator norm and its applications to linear regulators

✍ Scribed by R.A. El-Attar; M. Vidyasagar

• Publisher: Elsevier Science
• Year: 1978
• Tongue: English
• Weight: 936 KB
• Volume: 306
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(78)90053-4

✦ Synopsis

The use of lower-order models in obtaining approximate solutions in optimal control problems has been of much interest during the past few years. Two new procedures for order reduction, based on interpreting the system impulse response (or transfer function) as an input-output map, are presented. The relationship between the states of the original system and the states of its reduced-order model is investigated. The lower-order model is

used to obtain suboptimal controllers in linear regulator problems. Several computational examples are given.