TY - GEN

T1 - Scheduling kalman filters in continuous time

AU - Le Ny, Jerome

AU - Feron, Eric

AU - Dahleh, Munther A.

N1 - Generated from Scopus record by KAUST IRTS on 2021-02-18

PY - 2009/11/23

Y1 - 2009/11/23

N2 - A set of N independent Gaussian linear time invariant systems is observed by M sensors whose task is to provide the best possible steady-state causal minimum mean square estimate of the state of the systems, in addition to minimizing a steady-state measurement cost. The sensors can switch between systems instantaneously, and there are additional resource constraints, for example on the number of sensors which can observe a given system simultaneously. We first derive a tractable relaxation of the problem, which provides a bound on the achievable performance. This bound can be computed by solving a convex program involving linear matrix inequalities. Exploiting the additional structure of the sites evolving independently, we can decompose this program into coupled smaller dimensional problems. In the scalar case with identical sensors, we give an analytical expression for an index policy proposed in a more general context by Whittle. In the general case, we develop open-loop periodic switching policies whose performance matches the bound arbitrarily closely. © 2009 AACC.

AB - A set of N independent Gaussian linear time invariant systems is observed by M sensors whose task is to provide the best possible steady-state causal minimum mean square estimate of the state of the systems, in addition to minimizing a steady-state measurement cost. The sensors can switch between systems instantaneously, and there are additional resource constraints, for example on the number of sensors which can observe a given system simultaneously. We first derive a tractable relaxation of the problem, which provides a bound on the achievable performance. This bound can be computed by solving a convex program involving linear matrix inequalities. Exploiting the additional structure of the sites evolving independently, we can decompose this program into coupled smaller dimensional problems. In the scalar case with identical sensors, we give an analytical expression for an index policy proposed in a more general context by Whittle. In the general case, we develop open-loop periodic switching policies whose performance matches the bound arbitrarily closely. © 2009 AACC.

UR - http://ieeexplore.ieee.org/document/5160141/

UR - http://www.scopus.com/inward/record.url?scp=70449646621&partnerID=8YFLogxK

U2 - 10.1109/ACC.2009.5160141

DO - 10.1109/ACC.2009.5160141

M3 - Conference contribution

SN - 9781424445240

SP - 3799

EP - 3805

BT - Proceedings of the American Control Conference

ER -