Equivalent Representations of Bounded Real Lemma
D. Krokavec, A. Filasová
Technical University of Kosice
Abstract
The paper concerns the problem of the bounded real lemma for linear continuous-time systems. Using free weighting matrices to express the relationship between the terms of the system state equation a modified equivalent LMI approach to bounded-real-lemma representation is presented. Immediate extension to design method of a memory-free feedback controller, which performs Hinf pproperties of the closed-loop system, is formulated as a feasibility problem and expressed over a set of LMIs. Numerical example is included to illustrate the feasibility and properties of the proposed representations.
Full paper
Session
Linear and Non-linear Control System Design (Lecture)
Reference
Krokavec, D.; Filasová, A.: Equivalent Representations of Bounded Real Lemma. Editors: Fikar, M. and Kvasnica, M., In Proceedings of the 18th International Conference on Process Control, Tatranská Lomnica, Slovakia, June 14 – 17, 106–110, 2011.
BibTeX
| @inProceedings{pc2011-065, | ||
| author | = { | Krokavec, D. and Filasov\'a, A.}, |
| title | = { | Equivalent Representations of Bounded Real Lemma}, |
| booktitle | = { | Proceedings of the 18th International Conference on Process Control}, |
| year | = { | 2011}, |
| pages | = { | 106-110}, |
| editor | = { | Fikar, M. and Kvasnica, M.}, |
| address | = { | Tatransk\'a Lomnica, Slovakia}, |
| publisher | = { | Slovak University of Technology in Bratislava}, |
| url | = { | http://www.kirp.chtf.stuba.sk/pc11/data/papers/065.pdf}} |