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Stabilizing Control Structures: An Optimization Framework.
- Source :
-
IEEE Transactions on Automatic Control . Jul2022, Vol. 67 Issue 7, p3738-3745. 8p. - Publication Year :
- 2022
-
Abstract
- This article presents a new optimization-based approach to determine the class of stabilizing control structures with the necessary set of feedback links for interconnected systems. The proposed approach relies on a graph-theoretic interpretation and its equivalence in terms of binary linear programs (BLPs). To carry out the primary goal, first, the stabilizability of a linear time-invariant (LTI) system under the decentralized control structure is presented in terms of a BLP. Next, two graph-based criteria are proposed to characterize stabilizing control structures with the required feedback links. Finally, all possible stabilizing control structures with the necessary feedback links are derived via solving a set of BLPs. In addition to the analysis of stabilizing control structures, the proposed graph-theoretic approach offers a versatile set of tools to find the simplest control structures capable of assigning the closed-loop spectrum in a totally arbitrary desired region. Simulation results illustrate the assessment of stabilizing control structures, the required additional feedback links, and the elegant generalization of the proposed approach to regional pole-placement. [ABSTRACT FROM AUTHOR]
- Subjects :
- *DECENTRALIZED control systems
*STRUCTURAL frames
Subjects
Details
- Language :
- English
- ISSN :
- 00189286
- Volume :
- 67
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Automatic Control
- Publication Type :
- Periodical
- Accession number :
- 157745677
- Full Text :
- https://doi.org/10.1109/TAC.2021.3107247