DYNAMIC POLE ASSIGNMENT AND SCHUBERT CALCULUS

Authors
RAVI MS ROSENTHAL J WANG XC
Citation
Ms. Ravi et al., DYNAMIC POLE ASSIGNMENT AND SCHUBERT CALCULUS, SIAM journal on control and optimization, 34(3), 1996, pp. 813-832
Citations number
31
Categorie Soggetti
Controlo Theory & Cybernetics",Mathematics
Journal title
SIAM journal on control and optimization → ACNP
ISSN journal
03630129
Volume
34
Issue
3
Year of publication
1996
Pages
813 - 832
Database
ISI
SICI code
0363-0129(1996)34:3<813:DPAASC>2.0.ZU;2-7
Abstract
The output feedback pole assignment problem is a classical problem in linear systems theory. In this paper we calculate the number of comple x dynamic compensators of order q assigning a given set of poles for a q-nondegenerate m-input, p-output system of McMillan degree n = q(m p - 1) + mp. As a corollary it follows that when this number is odd, the generic system can be arbitrarily pole assigned by output feedback with a real dynamic compensator of order at most q if and only if q ( m + p - 1) + mp greater than or equal to n.