TY - GEN

T1 - On the state-space design of optimal controllers for distributed systems with finite communication speed

AU - Fardad, Makan

AU - Jovanović, Mihailo R.

PY - 2008/12/1

Y1 - 2008/12/1

N2 - We consider the problem of designing optimal distributed controllers whose impulse response has limited propagation speed. We introduce a state-space framework in which such controllers can be described. We show that the optimal control problem is not convex with respect to certain state-space design parameters, and demonstrate a reasonable relaxation that renders the problem convex. This relaxation is associated with an iterative numerical scheme known as the Steiglitz-McBride (SM) algorithm. We improve the SM algorithm by using the algebraic Lyapunov equation to relieve time integration, thus significantly reducing computational costs.

AB - We consider the problem of designing optimal distributed controllers whose impulse response has limited propagation speed. We introduce a state-space framework in which such controllers can be described. We show that the optimal control problem is not convex with respect to certain state-space design parameters, and demonstrate a reasonable relaxation that renders the problem convex. This relaxation is associated with an iterative numerical scheme known as the Steiglitz-McBride (SM) algorithm. We improve the SM algorithm by using the algebraic Lyapunov equation to relieve time integration, thus significantly reducing computational costs.

UR - http://www.scopus.com/inward/record.url?scp=62949121676&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=62949121676&partnerID=8YFLogxK

U2 - 10.1109/CDC.2008.4739424

DO - 10.1109/CDC.2008.4739424

M3 - Conference contribution

AN - SCOPUS:62949121676

SN - 9781424431243

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 5488

EP - 5493

BT - Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008

T2 - 47th IEEE Conference on Decision and Control, CDC 2008

Y2 - 9 December 2008 through 11 December 2008

ER -