TY - JOUR
T1 - LQG control for MIMO systems over multiple erasure channels with perfect acknowledgment
AU - Garone, Emanuele
AU - Sinopoli, Bruno
AU - Goldsmith, Andrea
AU - Casavola, Alessandro
N1 - Funding Information:
Manuscript received September 15, 2009; revised August 31, 2010; accepted July 13, 2011. Date of publication September 15, 2011; date of current version January 27, 2012. This work was supported by the Belgian Network Dynamical Systems, Control and Optimization (DYSCO) funded by the Interuniversity Attraction Poles Program, initiated by the Belgian State, Science Policy Office, and the Office of Naval Research under Grant N000140910072P00006.. Recommended by Associate Editor K. H. Johansson.
PY - 2012/2
Y1 - 2012/2
N2 - This technical note concerns control applications over lossy data networks. Sensor data is transmitted to an estimation-control unit over a network and control commands are issued to subsystems over the same network. Sensor and control packets may be randomly lost according to a Bernoulli process. In this context, the discrete-time linear quadratic gaussian (LQG) optimal control problem is considered. In Schenato , a complete analysis was carried out for the case that sensor measurements and control inputs are delivered into a single packet to the estimator and to the actuators respectively. Here, a nontrivial generalization for MIMO systems is presented under the assumption that each sensor and each actuator exchange data with the control unit in an independent way by using their own data packet (no aggregation). In such a framework, it is shown that the separation principle still holds in the case where packet arrivals are acknowledged by the receiver. Moreover, the optimal LQG control is a linear function of the state that explicitly depends on the loss probabilities of the actuator channels. Such a dependence is not present in the single channel case considered in mean-square. In the infinite horizon case, stability conditions on the packet arrival probabilities are provided in terms of linear matrix inequalities (LMIs).
AB - This technical note concerns control applications over lossy data networks. Sensor data is transmitted to an estimation-control unit over a network and control commands are issued to subsystems over the same network. Sensor and control packets may be randomly lost according to a Bernoulli process. In this context, the discrete-time linear quadratic gaussian (LQG) optimal control problem is considered. In Schenato , a complete analysis was carried out for the case that sensor measurements and control inputs are delivered into a single packet to the estimator and to the actuators respectively. Here, a nontrivial generalization for MIMO systems is presented under the assumption that each sensor and each actuator exchange data with the control unit in an independent way by using their own data packet (no aggregation). In such a framework, it is shown that the separation principle still holds in the case where packet arrivals are acknowledged by the receiver. Moreover, the optimal LQG control is a linear function of the state that explicitly depends on the loss probabilities of the actuator channels. Such a dependence is not present in the single channel case considered in mean-square. In the infinite horizon case, stability conditions on the packet arrival probabilities are provided in terms of linear matrix inequalities (LMIs).
KW - Cyber-physical systems (CPS)
KW - linear quadratic gaussian (LQG)
KW - networked control systems (NCS
UR - http://www.scopus.com/inward/record.url?scp=84856477768&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84856477768&partnerID=8YFLogxK
U2 - 10.1109/TAC.2011.2167789
DO - 10.1109/TAC.2011.2167789
M3 - Article
AN - SCOPUS:84856477768
SN - 0018-9286
VL - 57
SP - 450
EP - 456
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 2
M1 - 6018252
ER -