Doubly coprime factorizations, reduced-order observers, and dynamic state estimate feedback
- 1 December 1989
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 50 (6) , 2583-2597
- https://doi.org/10.1080/00207178908953516
Abstract
Doubly coprime factorizations of the transfer function of a lumped linear time-invariant system are a starting point for many of the results in the factorization approach to multivariabie control system analysis and synthesis. In work by Nett et al. (1984), explicit state-space realizations of these factorizations are derived using results from state estimation/state feedback theory. Here new doubly coprime factorizations are developed based on minimal-order observers. Following on from this, various extensions are noted, and it is proved that the class of all proper stabilizing controllers for a given plant can be generated by dynamic feedback of the reduced-order state estimate.Keywords
This publication has 2 references indexed in Scilit:
- Modified doubly coprime fractional representations related to the reduced-order observerIEEE Transactions on Automatic Control, 1989
- A connection between state-space and doubly coprime fractional representationsIEEE Transactions on Automatic Control, 1984