An entropy formula for nonlinear systems

✍ Scribed by Pablo A. Iglesias; Marc A. Peters

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 166 KB
• Volume: 337
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/s0016-0032(00)00055-7

✦ Synopsis

Minimum entropy control theory provides a powerful means of trading off the advantages of optimal H 2 and H 1 controllers. In this paper, a framework for the nonlinear minimum entropy control problem is suggested, based on the nonlinear spectral factorization problem. It is also shown that, for a large class of H 1 suboptimal controllers, the central controller minimizes the closed-loop entropy. The techniques used are similar to the time-domain notion of the entropy that was introduced by the authors for time-varying systems.