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Structured, Reduced-Order H2-Conic Control

Publication ,  Journal Article
Locicero, EJ; Bridgeman, LJ
Published in: IEEE Transactions on Automatic Control
February 1, 2024

Practical controllers for large-scale systems must be low-order and sparsely communicating, as well as high-performing and robust to uncertainty. H2-conic design addresses the latter requirements where passivity and H∞ methods are inapplicable, but it has yet to address the former. Here, the fixed-order H2-conic design problem is posed as a series of convergent approximations. The resulting synthesis algorithm uses all controller parameters as explicit design variables, and is guaranteed to find a feasible controller under mild assumptions. This improves performance over previous H2-conic designs while permitting controller dimension and communication structure to be arbitrarily chosen, which allows reduced-order and sparse distributed designs. The relationship between variable structure and computational complexity is explored, and the main algorithm is applied to numerical examples.

Duke Scholars

Published In

IEEE Transactions on Automatic Control

DOI

EISSN

1558-2523

ISSN

0018-9286

Publication Date

February 1, 2024

Volume

69

Issue

2

Start / End Page

1356 / 1363

Related Subject Headings

  • Industrial Engineering & Automation
  • 4007 Control engineering, mechatronics and robotics
  • 0913 Mechanical Engineering
  • 0906 Electrical and Electronic Engineering
  • 0102 Applied Mathematics
 

Citation

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Locicero, E. J., & Bridgeman, L. J. (2024). Structured, Reduced-Order H2-Conic Control. IEEE Transactions on Automatic Control, 69(2), 1356–1363. https://doi.org/10.1109/TAC.2023.3303489
Locicero, E. J., and L. J. Bridgeman. “Structured, Reduced-Order H2-Conic Control.” IEEE Transactions on Automatic Control 69, no. 2 (February 1, 2024): 1356–63. https://doi.org/10.1109/TAC.2023.3303489.
Locicero EJ, Bridgeman LJ. Structured, Reduced-Order H2-Conic Control. IEEE Transactions on Automatic Control. 2024 Feb 1;69(2):1356–63.
Locicero, E. J., and L. J. Bridgeman. “Structured, Reduced-Order H2-Conic Control.” IEEE Transactions on Automatic Control, vol. 69, no. 2, Feb. 2024, pp. 1356–63. Scopus, doi:10.1109/TAC.2023.3303489.
Locicero EJ, Bridgeman LJ. Structured, Reduced-Order H2-Conic Control. IEEE Transactions on Automatic Control. 2024 Feb 1;69(2):1356–1363.

Published In

IEEE Transactions on Automatic Control

DOI

EISSN

1558-2523

ISSN

0018-9286

Publication Date

February 1, 2024

Volume

69

Issue

2

Start / End Page

1356 / 1363

Related Subject Headings

  • Industrial Engineering & Automation
  • 4007 Control engineering, mechatronics and robotics
  • 0913 Mechanical Engineering
  • 0906 Electrical and Electronic Engineering
  • 0102 Applied Mathematics