Abstract
This paper deals with frequency domain robust regulation of signals generated by an infinite-dimensional exosystem. The problem is formulated and the stability types are chosen so that one can generalize the existing finite-dimensional theory to more general classes of infinite-dimensional systems and signals. The main results of this article are extensions of the internal model principle, of a necessary and sufficient solvability condition for the robust regulation problem, and of Davison's simple servo compensator for stable plants in the chosen algebraic framework.
| Original language | English |
|---|---|
| Pages (from-to) | 139-166 |
| Number of pages | 28 |
| Journal | SIAM Journal on Control and Optimization |
| Volume | 53 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2015 |
| Publication type | A1 Journal article-refereed |
Keywords
- Frequency domain
- Infinite-dimensional exosystems
- Infinite-dimensional systems
- Internal model
- Robust regulation
Publication forum classification
- Publication forum level 2
ASJC Scopus subject areas
- Control and Optimization
- Applied Mathematics