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

Makan Fardad; Mihailo R. Jovanović

doi:10.1109/CDC.2008.4739424

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

Makan Fardad, Mihailo R. Jovanović

Department of Electrical Engineering & Computer Science

Research output: Chapter in Book/Entry/Poem › Conference contribution

8 Scopus citations

Abstract

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.

Original language	English (US)
Title of host publication	Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	5488-5493
Number of pages	6
ISBN (Print)	9781424431243
DOIs	https://doi.org/10.1109/CDC.2008.4739424
State	Published - 2008
Event	47th IEEE Conference on Decision and Control, CDC 2008 - Cancun, Mexico Duration: Dec 9 2008 → Dec 11 2008

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Other

Other	47th IEEE Conference on Decision and Control, CDC 2008
Country/Territory	Mexico
City	Cancun
Period	12/9/08 → 12/11/08

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

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10.1109/CDC.2008.4739424

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Fardad, M., & Jovanović, M. R. (2008). On the state-space design of optimal controllers for distributed systems with finite communication speed. In Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008 (pp. 5488-5493). Article 4739424 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2008.4739424

On the state-space design of optimal controllers for distributed systems with finite communication speed. / Fardad, Makan; Jovanović, Mihailo R.
Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008. Institute of Electrical and Electronics Engineers Inc., 2008. p. 5488-5493 4739424 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Entry/Poem › Conference contribution

Fardad, M & Jovanović, MR 2008, On the state-space design of optimal controllers for distributed systems with finite communication speed. in Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008., 4739424, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 5488-5493, 47th IEEE Conference on Decision and Control, CDC 2008, Cancun, Mexico, 12/9/08. https://doi.org/10.1109/CDC.2008.4739424

Fardad M, Jovanović MR. On the state-space design of optimal controllers for distributed systems with finite communication speed. In Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008. Institute of Electrical and Electronics Engineers Inc. 2008. p. 5488-5493. 4739424. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2008.4739424

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

Abstract

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