TY - JOUR
T1 - Time-Varying Feedback Laws for Decentralized Control
AU - Anderson, Brian D.O.
AU - Moore, John B.
PY - 1981/10
Y1 - 1981/10
N2 - Decentralized control schemes are considered for time-invariant, finite dimensional, linear systems with known state equations. It is assumed that the systems are reachable and observable at a fictitious centralized control station, and that there is strong connectivity between the decentralized control stations via the system where necessary. It is shown that whether or not there are decentralized fixed modes in the open-loop system, periodically varying feedback gains at all but one of the control stations permit the remaining control station to observe and control the system given knowledge of the control laws implemented at the other control stations. Certain time-invariant systems which cannot be stabilized by decentralized time-invariant controllers, namely those with unstable decentralized fixed modes, can thus be stabilized by decentralized time-varying controllers.
AB - Decentralized control schemes are considered for time-invariant, finite dimensional, linear systems with known state equations. It is assumed that the systems are reachable and observable at a fictitious centralized control station, and that there is strong connectivity between the decentralized control stations via the system where necessary. It is shown that whether or not there are decentralized fixed modes in the open-loop system, periodically varying feedback gains at all but one of the control stations permit the remaining control station to observe and control the system given knowledge of the control laws implemented at the other control stations. Certain time-invariant systems which cannot be stabilized by decentralized time-invariant controllers, namely those with unstable decentralized fixed modes, can thus be stabilized by decentralized time-varying controllers.
UR - http://www.scopus.com/inward/record.url?scp=0019621902&partnerID=8YFLogxK
U2 - 10.1109/TAC.1981.1102770
DO - 10.1109/TAC.1981.1102770
M3 - Article
AN - SCOPUS:0019621902
SN - 0018-9286
VL - 26
SP - 1133
EP - 1139
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 5
ER -