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Stabilizing Control Structures: An Optimization Framework
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DOI：10.1109/TAC.2021.3107247.png)
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Abstract
En 中文
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.
Keywords:
Decentralized control
Output feedback
Linear systems
Bipartite graph
Interconnected systems
Closed loop systems
Tools
Bipartite graph
control structure
fixed-mode
graph theory
stabilizing controllers
Journal
IF:
7
Papers:
1.3W
Citations:
6.7W
Organization
Cited Papers
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