Structured-LMI conditions for stabilizing network-decentralized control
(2013) 52nd IEEE Conference on Decision and Control, CDC 2013 p.6880-6885- Abstract
In this paper we consider a set of dynamically decoupled systems interconnected by control agents. We can visualize this architecture as a graph where subsystems are associated to nodes and control agents are associated to arcs. The interconnection between subsystems is determined by their input matrix. The decisions of each control agent can directly affect only the nodes connected by the corresponding arc. We seek a stabilizing control framework in which each control agent has information only about the state components associated with the nodes it influences; we say this control architecture is decentralized in the sense of networks. This problem setup involves block-structured feedback matrices, with structural zero blocks. We... (More)
In this paper we consider a set of dynamically decoupled systems interconnected by control agents. We can visualize this architecture as a graph where subsystems are associated to nodes and control agents are associated to arcs. The interconnection between subsystems is determined by their input matrix. The decisions of each control agent can directly affect only the nodes connected by the corresponding arc. We seek a stabilizing control framework in which each control agent has information only about the state components associated with the nodes it influences; we say this control architecture is decentralized in the sense of networks. This problem setup involves block-structured feedback matrices, with structural zero blocks. We provide a constructive, sufficient condition based on an LMI with block-diagonal constraints, which guarantees stabilizability through a network-decentralized state-feedback control law. We show that under some structural conditions, concerning local stabilizability and connection with the external environment, the LMI condition we provide is always feasible. Thus, the desired controller can be found in an efficient way.
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- author
- Bianchini, Franco ; Franco, Elisa and Giordano, Giulia LU
- organization
- publishing date
- 2013
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- 52nd Annual Conference on Decision and Control (CDC 2013)
- article number
- 6760979
- pages
- 6 pages
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- conference name
- 52nd IEEE Conference on Decision and Control, CDC 2013
- conference location
- Florence, Italy
- conference dates
- 2013-12-10 - 2013-12-13
- external identifiers
-
- scopus:84902324264
- ISBN
- 9781467357173
- DOI
- 10.1109/CDC.2013.6760979
- language
- English
- LU publication?
- no
- id
- e28448ac-d74c-439e-a229-42c8f7eab154
- date added to LUP
- 2016-07-06 15:29:58
- date last changed
- 2022-01-30 04:58:43
@inproceedings{e28448ac-d74c-439e-a229-42c8f7eab154, abstract = {{<p>In this paper we consider a set of dynamically decoupled systems interconnected by control agents. We can visualize this architecture as a graph where subsystems are associated to nodes and control agents are associated to arcs. The interconnection between subsystems is determined by their input matrix. The decisions of each control agent can directly affect only the nodes connected by the corresponding arc. We seek a stabilizing control framework in which each control agent has information only about the state components associated with the nodes it influences; we say this control architecture is decentralized in the sense of networks. This problem setup involves block-structured feedback matrices, with structural zero blocks. We provide a constructive, sufficient condition based on an LMI with block-diagonal constraints, which guarantees stabilizability through a network-decentralized state-feedback control law. We show that under some structural conditions, concerning local stabilizability and connection with the external environment, the LMI condition we provide is always feasible. Thus, the desired controller can be found in an efficient way.</p>}}, author = {{Bianchini, Franco and Franco, Elisa and Giordano, Giulia}}, booktitle = {{52nd Annual Conference on Decision and Control (CDC 2013)}}, isbn = {{9781467357173}}, language = {{eng}}, pages = {{6880--6885}}, publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}}, title = {{Structured-LMI conditions for stabilizing network-decentralized control}}, url = {{http://dx.doi.org/10.1109/CDC.2013.6760979}}, doi = {{10.1109/CDC.2013.6760979}}, year = {{2013}}, }