Lavaei, Javad and Aghdam, Amir G. (2007) A graph-theoretic method to find decentralized fixed modes of LTI systems. Automatica, 43 (12). pp. 2129-2133. ISSN 00051098
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Official URL: http://dx.doi.org/10.1016/j.automatica.2007.04.019
Abstract
This paper deals with the decentralized pole assignability of interconnected systems by means of linear time-invariant (LTI) controllers. A simple graph-theoretic approach is proposed to identify the distinct decentralized fixed modes (DFMs) of the system, i.e., the unrepeated modes which cannot be moved by means of a LTI decentralized controller. The state-space representation of the system is transformed to the decoupled form using a proper change of coordinates. For any unrepeated mode, a matrix is then computed which resembles the transfer function matrix of the system at some point in the complex plane. A bipartite graph is constructed accordingly in terms of the computed matrix. Now, the problem of verifying if this mode is a DFM of the system reduces to checking if the constructed graph has a complete bipartite subgraph with a certain property. The sole restriction of this work is that it is only capable of identifying the distinct DFMs of a system. However, it is axiomatic that most of the modes of the real-world systems are normally distinct. The primary advantage of the present paper is its simplicity, compared to the existing ones which often require evaluating the rank of several matrices.
| Divisions: | Concordia University > Gina Cody School of Engineering and Computer Science > Electrical and Computer Engineering |
|---|---|
| Item Type: | Article |
| Refereed: | Yes |
| Authors: | Lavaei, Javad and Aghdam, Amir G. |
| Journal or Publication: | Automatica |
| Date: | 2007 |
| Digital Object Identifier (DOI): | 10.1016/j.automatica.2007.04.019 |
| Keywords: | Decentralized control; Stabilizability; Graph theory |
| ID Code: | 975163 |
| Deposited By: | Danielle Dennie |
| Deposited On: | 22 Jan 2013 13:39 |
| Last Modified: | 18 Jan 2018 17:39 |
References:
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