Robust edge weight synthesis for LPV multi-agent systems with integral quadratic constraints
This work implements a non-linear programming method to synthesize edge weights of an adjacency matrix for a linear parameter varying multi-agent system using bilinear matrix inequalities, which suffer uncertainties. First, convex–concave decompositions are used on the bilinear matrix inequality con...
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| Format: | Article |
| Language: | English |
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Elsevier
2023-03-01
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| Series: | Franklin Open |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2773186323000087 |
| _version_ | 1797753874302369792 |
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| author | Baris Taner Kamesh Subbarao |
| author_facet | Baris Taner Kamesh Subbarao |
| author_sort | Baris Taner |
| collection | DOAJ |
| description | This work implements a non-linear programming method to synthesize edge weights of an adjacency matrix for a linear parameter varying multi-agent system using bilinear matrix inequalities, which suffer uncertainties. First, convex–concave decompositions are used on the bilinear matrix inequality constraints for nominal H∞synthesis. Then this method is improved to consider uncertainties using integral quadratic constraints with time domain representations. Agents composing the multi-agent system are depicted as longitudinal dynamics of F16 Vista aircraft at different operating conditions, which share their output information to achieve consensus. Topology of the multi-agent system is predefined and edge weights are defined as functions of the decision variable. |
| first_indexed | 2024-03-12T17:24:09Z |
| format | Article |
| id | doaj.art-2424475937274448947c44d993b2380a |
| institution | Directory Open Access Journal |
| issn | 2773-1863 |
| language | English |
| last_indexed | 2024-03-12T17:24:09Z |
| publishDate | 2023-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Franklin Open |
| spelling | doaj.art-2424475937274448947c44d993b2380a2023-08-05T05:18:30ZengElsevierFranklin Open2773-18632023-03-012100014Robust edge weight synthesis for LPV multi-agent systems with integral quadratic constraintsBaris Taner0Kamesh Subbarao1Department of Mechanical and Aerospace Engineering, The University of Texas at Arlington, 500 W. First St., Arlington, 76019, TX, USACorrespondence to: Box 19018, 211 Woolf Hall, USA.; Department of Mechanical and Aerospace Engineering, The University of Texas at Arlington, 500 W. First St., Arlington, 76019, TX, USAThis work implements a non-linear programming method to synthesize edge weights of an adjacency matrix for a linear parameter varying multi-agent system using bilinear matrix inequalities, which suffer uncertainties. First, convex–concave decompositions are used on the bilinear matrix inequality constraints for nominal H∞synthesis. Then this method is improved to consider uncertainties using integral quadratic constraints with time domain representations. Agents composing the multi-agent system are depicted as longitudinal dynamics of F16 Vista aircraft at different operating conditions, which share their output information to achieve consensus. Topology of the multi-agent system is predefined and edge weights are defined as functions of the decision variable.http://www.sciencedirect.com/science/article/pii/S2773186323000087Multi-agent systemsRobust controlEdge weight synthesisIntegral quadratic constraintsNonlinear optimizationSequential optimization |
| spellingShingle | Baris Taner Kamesh Subbarao Robust edge weight synthesis for LPV multi-agent systems with integral quadratic constraints Franklin Open Multi-agent systems Robust control Edge weight synthesis Integral quadratic constraints Nonlinear optimization Sequential optimization |
| title | Robust edge weight synthesis for LPV multi-agent systems with integral quadratic constraints |
| title_full | Robust edge weight synthesis for LPV multi-agent systems with integral quadratic constraints |
| title_fullStr | Robust edge weight synthesis for LPV multi-agent systems with integral quadratic constraints |
| title_full_unstemmed | Robust edge weight synthesis for LPV multi-agent systems with integral quadratic constraints |
| title_short | Robust edge weight synthesis for LPV multi-agent systems with integral quadratic constraints |
| title_sort | robust edge weight synthesis for lpv multi agent systems with integral quadratic constraints |
| topic | Multi-agent systems Robust control Edge weight synthesis Integral quadratic constraints Nonlinear optimization Sequential optimization |
| url | http://www.sciencedirect.com/science/article/pii/S2773186323000087 |
| work_keys_str_mv | AT baristaner robustedgeweightsynthesisforlpvmultiagentsystemswithintegralquadraticconstraints AT kameshsubbarao robustedgeweightsynthesisforlpvmultiagentsystemswithintegralquadraticconstraints |