Document Type
Conference Paper
Publication Date
2018
Publication Title
Proceedings of the 23rd International Symposium on Mathematical Theory of Networks and Systems
Pages
762-768
Conference Name
23rd International Symposium on Mathematical Theory of Networks and Systems, 16-20 July 2018, Hong Kong, China
Abstract
The goal of this paper is to explicitly describe invariants of a plant described by a Chen--Fliess series under a class of dynamic output feedback laws using earlier work by the authors on feedback transformation groups. The main result requires the rather strong assumption that the plant has a generating series with both finite Lie rank and full relative degree. In which case, there is no loss of generality in working with state space realizations of the plant. An additional genericness assumption regarding the normal form of the plant is also required, but as shown by the examples, this condition is often available in typical problems. All of the analysis presented is restricted to the single-input, single-output case.
Rights
© 2018 The Hong Kong Science University of Science and Technology. All rights reserved.
Included with the kind written permission of the copyright holders. Commercial use is forbidden.
Original Publication Citation
Gray, W. S., & Duffaut Espinosa, L. A. (2018) Dynamic output feedback invariants of full relative degree nonlinear SISO systems [Conference Paper]. 23rd International Symposium on Mathematical Theory of Networks and Systems, Hong Kong, China.
Repository Citation
Gray, W. Steven and Duffaut Espinosa, Luis A., "Dynamic Output Feedback Invariants of Full Relative Degree Nonlinear SISO Systems" (2018). Electrical & Computer Engineering Faculty Publications. 448.
https://digitalcommons.odu.edu/ece_fac_pubs/448