TY - GEN
T1 - Optimal control with limited control actions and lossy transmissions
AU - Bommannavar, Praveen
AU - Başar, Tamer
PY - 2008
Y1 - 2008
N2 - We consider a class of non-standard networked control problems where (i) there is a limit on the number of times control signals can be transmitted to the plant, and (ii) the links over which the transmission takes place are lossy in the sense that there is a nonzero probability with which packets carrying control signals are dropped. The framework is that of discrete-time LQG optimal control where the control has access to noisy state measurements, and the objective is minimization of the expected value of a quadratic performance index under the nontraditional constraints introduced above. When there is a limitation on the number of control actions, we show that the optimal policy involves thresholding the optimal estimate of the state. When there is also a lossy link, and the control is allowed to receive acknowledgements from the plant as to whether the transmitted packets were received or not, we show that the optimal policy is again of the threshold type, involving off-line computation.
AB - We consider a class of non-standard networked control problems where (i) there is a limit on the number of times control signals can be transmitted to the plant, and (ii) the links over which the transmission takes place are lossy in the sense that there is a nonzero probability with which packets carrying control signals are dropped. The framework is that of discrete-time LQG optimal control where the control has access to noisy state measurements, and the objective is minimization of the expected value of a quadratic performance index under the nontraditional constraints introduced above. When there is a limitation on the number of control actions, we show that the optimal policy involves thresholding the optimal estimate of the state. When there is also a lossy link, and the control is allowed to receive acknowledgements from the plant as to whether the transmitted packets were received or not, we show that the optimal policy is again of the threshold type, involving off-line computation.
UR - http://www.scopus.com/inward/record.url?scp=62949228543&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=62949228543&partnerID=8YFLogxK
U2 - 10.1109/CDC.2008.4738870
DO - 10.1109/CDC.2008.4738870
M3 - Conference contribution
AN - SCOPUS:62949228543
SN - 9781424431243
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 2032
EP - 2037
BT - Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 47th IEEE Conference on Decision and Control, CDC 2008
Y2 - 9 December 2008 through 11 December 2008
ER -