Paper Info
Title
Stabilizing Control Structures: An Optimization Framework
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.
Year
DOI
Venue
2022
10.1109/TAC.2021.3107247
IEEE Transactions on Automatic Control
Keywords
DocType
Volume
Bipartite graph,control structure,fixed-mode,graph theory,stabilizing controllers
Journal
67
Issue
ISSN
Citations 
7
0018-9286
0
PageRank 
References 
Authors
0.34
14
2
Name
Order
Citations
PageRank
Hesamoddin Mosalli100.34
Maryam Babazadeh2153.94