Synchronization of discrete-time multi-agent systems on graphs using H2-Riccati design
In this paper design methods are given for synchronization control of discrete-time multi-agent systems on directed communication graphs. The graph properties complicate the design of synchronization controllers due to the interplay between the eigenvalues of the graph Laplacian matrix and the requi...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Conference Paper |
| Language: | English |
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2013
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| Online Access: | https://hdl.handle.net/10356/98467 http://hdl.handle.net/10220/12485 |
| _version_ | 1811688404670218240 |
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| author | Lewis, Frank L. Hengster-Movric, Kristian You, Keyou Xie, Lihua |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Lewis, Frank L. Hengster-Movric, Kristian You, Keyou Xie, Lihua |
| author_sort | Lewis, Frank L. |
| collection | NTU |
| description | In this paper design methods are given for synchronization control of discrete-time multi-agent systems on directed communication graphs. The graph properties complicate the design of synchronization controllers due to the interplay between the eigenvalues of the graph Laplacian matrix and the required stabilizing gains. A method is given herein, based on an H2 type Riccati equation, that decouples the design of the synchronizing gains from the detailed graph properties. A condition for synchronization is given based on the relation of the graph eigenvalues to a bounded circular region in the complex plane that depends on the agent dynamics and the Riccati solution. This condition relates the Mahler measure of the node dynamics system matrix to the connectivity properties of the communication graph. The notion of `synchronizing region' is used. An example shows the effectiveness of these design methods for achieving synchronization in cooperative discrete-time systems. |
| first_indexed | 2024-10-01T05:31:40Z |
| format | Conference Paper |
| id | ntu-10356/98467 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T05:31:40Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-10356/984672020-03-07T13:24:48Z Synchronization of discrete-time multi-agent systems on graphs using H2-Riccati design Lewis, Frank L. Hengster-Movric, Kristian You, Keyou Xie, Lihua School of Electrical and Electronic Engineering IEEE International Conference on Control Applications (21st : 2012 : Dubrovnik, Croatia) DRNTU::Engineering::Electrical and electronic engineering In this paper design methods are given for synchronization control of discrete-time multi-agent systems on directed communication graphs. The graph properties complicate the design of synchronization controllers due to the interplay between the eigenvalues of the graph Laplacian matrix and the required stabilizing gains. A method is given herein, based on an H2 type Riccati equation, that decouples the design of the synchronizing gains from the detailed graph properties. A condition for synchronization is given based on the relation of the graph eigenvalues to a bounded circular region in the complex plane that depends on the agent dynamics and the Riccati solution. This condition relates the Mahler measure of the node dynamics system matrix to the connectivity properties of the communication graph. The notion of `synchronizing region' is used. An example shows the effectiveness of these design methods for achieving synchronization in cooperative discrete-time systems. 2013-07-29T07:30:47Z 2019-12-06T19:55:30Z 2013-07-29T07:30:47Z 2019-12-06T19:55:30Z 2012 2012 Conference Paper Hengster-Movric, K., You, K., Lewis, F. L., & Xie, L. (2012). Synchronization of discrete-time multi-agent systems on graphs using H2-Riccati design. 2012 IEEE International Conference on Control Applications. https://hdl.handle.net/10356/98467 http://hdl.handle.net/10220/12485 10.1109/CCA.2012.6402351 en © 2012 IEEE. |
| spellingShingle | DRNTU::Engineering::Electrical and electronic engineering Lewis, Frank L. Hengster-Movric, Kristian You, Keyou Xie, Lihua Synchronization of discrete-time multi-agent systems on graphs using H2-Riccati design |
| title | Synchronization of discrete-time multi-agent systems on graphs using H2-Riccati design |
| title_full | Synchronization of discrete-time multi-agent systems on graphs using H2-Riccati design |
| title_fullStr | Synchronization of discrete-time multi-agent systems on graphs using H2-Riccati design |
| title_full_unstemmed | Synchronization of discrete-time multi-agent systems on graphs using H2-Riccati design |
| title_short | Synchronization of discrete-time multi-agent systems on graphs using H2-Riccati design |
| title_sort | synchronization of discrete time multi agent systems on graphs using h2 riccati design |
| topic | DRNTU::Engineering::Electrical and electronic engineering |
| url | https://hdl.handle.net/10356/98467 http://hdl.handle.net/10220/12485 |
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