TY - JOUR
T1 - The pole placement problem via PI feedback controllers
AU - Leventides, John
AU - Rosenthal, Joachim
AU - Wang, Xiaochang Alex
N1 - Funding Information:
J.R. wassupported inpart by NSF grant DMS-9400965 and DMS-9610389. X.A.W. was supported in part by NSF grant DMS-95 0594.
PY - 1999
Y1 - 1999
N2 - In this paper we study the pole placement problem using generalized PI controllers of a fixed lag k as compensators. We derive a new strong sufficiency condition which guarantees the arbitrary pole assignability of a given system having m inputs p outputs and McMillan degree n. This sufficiency condition misses the theoretical best possible necessary condition by one degree of freedom. The proof of the main result can be used to derive a numerical procedure. This numerical procedure is however very sensitive in the parameters and further research is required to investigate the conditions under which sensitivity occurs and whether the solution can be made more robust in this regard.
AB - In this paper we study the pole placement problem using generalized PI controllers of a fixed lag k as compensators. We derive a new strong sufficiency condition which guarantees the arbitrary pole assignability of a given system having m inputs p outputs and McMillan degree n. This sufficiency condition misses the theoretical best possible necessary condition by one degree of freedom. The proof of the main result can be used to derive a numerical procedure. This numerical procedure is however very sensitive in the parameters and further research is required to investigate the conditions under which sensitivity occurs and whether the solution can be made more robust in this regard.
UR - http://www.scopus.com/inward/record.url?scp=0345103128&partnerID=8YFLogxK
U2 - 10.1080/002071799220425
DO - 10.1080/002071799220425
M3 - Article
AN - SCOPUS:0345103128
SN - 0020-7179
VL - 72
SP - 1065
EP - 1077
JO - International Journal of Control
JF - International Journal of Control
IS - 12
ER -