Exact pole assignment by output feedback Part 1
- 1 June 1987
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 45 (6) , 1995-2007
- https://doi.org/10.1080/00207178708933862
Abstract
We shall prove that exact assignment of distinct poles using output feedback is possible in any controllable and observable linear time-invariant multivariable system in which the number of inputs plus the number of outputs exceeds the number of states, except in clearly identified circumstances. Furthermore we give a construction for the entire class of pathological cases. The main part of our argument is concerned with the assigning of complex conjugate eigenvalues by means of a real feedback matrix; indeed we begin by giving a simple algorithm which is effective over any field. Although this problem has been discussed by numerous authors in the past, they have usually presented only generic results. We examine the complete class of systems satisfying the hypotheses mentioned.Keywords
This publication has 4 references indexed in Scilit:
- Linear Multivariable Control: a Geometric ApproachPublished by Springer Nature ,1979
- Applications of algebraic geometry to systems theory--Part IIEEE Transactions on Automatic Control, 1977
- On the flexibility offered by state feedback in multivariable systems beyond closed loop eigenvalue assignmentIEEE Transactions on Automatic Control, 1976
- Pole assignment by gain output feedbackIEEE Transactions on Automatic Control, 1975