State-space solution to the periodic multirate H/sub ∞/ control problem: a lifting approach
| Autor: | Mats F. Sågfors, Bengt Lennartson, Hannu T. Toivonen |
|---|---|
| Rok vydání: | 2000 |
| Předmět: |
Coupling
Time-invariant system Optimal control Computer Science Applications Connection (mathematics) Set (abstract data type) Causality (physics) Positive definiteness Computer Science::Systems and Control Control and Systems Engineering Control theory Control system State space Applied mathematics Electrical and Electronic Engineering Algebraic number Control (linguistics) Mathematics |
| Zdroj: | IEEE Transactions on Automatic Control. 45:2345-2350 |
| ISSN: | 0018-9286 |
| DOI: | 10.1109/9.895571 |
| Popis: | A two-Riccati equation solution to the H/sub /spl infin// control problem for periodic multirate systems is derived via the lifting method. The solution is expressed in terms of two algebraic Riccati equations. The causality constraints are represented by a set of positive definiteness conditions and coupling criteria. As a by-product, the study shows that there is a close connection between the solution of the causally constrained lifted problem and the solution obtained by solving the problem directly as a periodic H/sub /spl infin// problem defined for the multirate system. |
| Databáze: | OpenAIRE |
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