Optimal control for a class of hybrid systems under mixed costs

H. Zhang; M. R. James

doi:10.1109/CDC.2005.1582131

Optimal control for a class of hybrid systems under mixed costs

H. Zhang, M. R. James^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

4 Citations (Scopus)

Abstract

A finite horizon optimal control problem for a class of discrete time hybrid systems is formulated and solved. The cost to be minimized is a mixture of H₂ and l_∞ criteria. New dynamics are introduced to transform the problem into the minimization problem of a purely l _∞ cost. The transformed problem is solved using dynamic programming methods.

Original language	English
Title of host publication	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Pages	60-65
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.2005.1582131
Publication status	Published - 2005
Event	44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 - Seville, Spain Duration: 12 Dec 2005 → 15 Dec 2005

Publication series

Name	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Volume	2005

Conference

Conference	44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Country/Territory	Spain
City	Seville
Period	12/12/05 → 15/12/05

Access to Document

10.1109/CDC.2005.1582131

Cite this

Zhang, H., & James, M. R. (2005). Optimal control for a class of hybrid systems under mixed costs. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 (pp. 60-65). Article 1582131 (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05; Vol. 2005). https://doi.org/10.1109/CDC.2005.1582131

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title = "Optimal control for a class of hybrid systems under mixed costs",

abstract = "A finite horizon optimal control problem for a class of discrete time hybrid systems is formulated and solved. The cost to be minimized is a mixture of H2 and l∞ criteria. New dynamics are introduced to transform the problem into the minimization problem of a purely l ∞ cost. The transformed problem is solved using dynamic programming methods.",

keywords = "Dynamic programming, Hybrid systems, Mixed cost, Optimal control",

author = "H. Zhang and James, {M. R.}",

year = "2005",

doi = "10.1109/CDC.2005.1582131",

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series = "Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05",

pages = "60--65",

booktitle = "Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05",

note = "44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 ; Conference date: 12-12-2005 Through 15-12-2005",

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Zhang, H & James, MR 2005, Optimal control for a class of hybrid systems under mixed costs. in Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05., 1582131, Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, vol. 2005, pp. 60-65, 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, Seville, Spain, 12/12/05. https://doi.org/10.1109/CDC.2005.1582131

Optimal control for a class of hybrid systems under mixed costs. / Zhang, H.; James, M. R.
Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. p. 60-65 1582131 (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05; Vol. 2005).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - Optimal control for a class of hybrid systems under mixed costs

AU - Zhang, H.

AU - James, M. R.

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N2 - A finite horizon optimal control problem for a class of discrete time hybrid systems is formulated and solved. The cost to be minimized is a mixture of H2 and l∞ criteria. New dynamics are introduced to transform the problem into the minimization problem of a purely l ∞ cost. The transformed problem is solved using dynamic programming methods.

AB - A finite horizon optimal control problem for a class of discrete time hybrid systems is formulated and solved. The cost to be minimized is a mixture of H2 and l∞ criteria. New dynamics are introduced to transform the problem into the minimization problem of a purely l ∞ cost. The transformed problem is solved using dynamic programming methods.

KW - Dynamic programming

KW - Hybrid systems

KW - Mixed cost

KW - Optimal control

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U2 - 10.1109/CDC.2005.1582131

DO - 10.1109/CDC.2005.1582131

M3 - Conference contribution

SN - 0780395689

SN - 9780780395688

T3 - Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

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BT - Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

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Zhang H, James MR. Optimal control for a class of hybrid systems under mixed costs. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. p. 60-65. 1582131. (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05). doi: 10.1109/CDC.2005.1582131

Optimal control for a class of hybrid systems under mixed costs

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