Abstract
Minimum entropy control theory provides a powerful means of trading off the advantages of optimal H2 and H∞ 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∞ 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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 859-874 |
| Number of pages | 16 |
| Journal | Journal of the Franklin Institute |
| Volume | 337 |
| Issue number | 7 |
| DOIs | |
| State | Published - Nov 2000 |
ASJC Scopus subject areas
- Control and Systems Engineering
- Signal Processing
- Computer Networks and Communications
- Applied Mathematics
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Cite this
Iglesias, P. A., & Peters, M. A. (2000). Entropy formula for nonlinear systems. Journal of the Franklin Institute, 337(7), 859-874. https://doi.org/10.1016/S0016-0032(00)00055-7