Disturbance Decoupling of Discrete-time Nonlinear Systems by Static Measurement Feedback
A. Kaldmäe, Ü. Kotta
Tallinn University of Technology
Abstract
This paper addresses the disturbance decoupling problem (DDP) for nonlinear systems extending the results for continuous-time systems into the discrete-time case. Sufficient conditions are given for the solvability of the problem. The notion of the rank of a one-form is used to find the static measurement feedback, that solves the DDP whenever possible. Moreover, necessary and sufficient conditions are given for single-input single-output systems as well as for multi-input single-output systems under the additional assumption.
Full paper
Session
Algebraic Methods in Control (Invited) (Lecture)
Reference
Kaldmäe, A.; Kotta, Ü.: Disturbance Decoupling of Discrete-time Nonlinear Systems by Static Measurement Feedback. Editors: Fikar, M. and Kvasnica, M., In Proceedings of the 18th International Conference on Process Control, Tatranská Lomnica, Slovakia, June 14 – 17, 135–140, 2011.
BibTeX
| @inProceedings{pc2011-006, | ||
| author | = { | Kaldm\"ae, A. and Kotta, \"U.}, |
| title | = { | Disturbance Decoupling of Discrete-time Nonlinear Systems by Static Measurement Feedback}, |
| booktitle | = { | Proceedings of the 18th International Conference on Process Control}, |
| year | = { | 2011}, |
| pages | = { | 135-140}, |
| 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/006.pdf}} |