Optimal Design of Complex Passive-Damping Systems for Vibration Control of Large Structures: An Energy-to-Peak Approach
We present a new design strategy that makes it possible to synthesize decentralized output-feedback controllers by solving two successive optimization problems with linear matrix inequality (LMI) constraints. In the initial LMI optimization problem, two auxiliary elements are computed: a standard st...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/510236 |
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| author | Francisco Palacios-Quiñonero Josep Rubió-Massegú Josep M. Rossell Hamid Reza Karimi |
| author_facet | Francisco Palacios-Quiñonero Josep Rubió-Massegú Josep M. Rossell Hamid Reza Karimi |
| author_sort | Francisco Palacios-Quiñonero |
| collection | DOAJ |
| description | We present a new design strategy that makes it possible to synthesize decentralized output-feedback controllers by solving two successive optimization problems with linear matrix inequality (LMI) constraints. In the initial LMI optimization problem, two auxiliary elements are computed: a standard state-feedback controller, which can be taken as a reference in the performance assessment, and a matrix that facilitates a proper definition of the main LMI optimization problem. Next, by solving the second optimization problem, the output-feedback controller is obtained. The proposed strategy extends recent results in static output-feedback control and can be applied to design complex passive-damping systems for vibrational control of large structures. More precisely, by taking advantages of the existing link between fully decentralized velocity-feedback controllers and passive linear dampers, advanced active feedback control strategies can be used to design complex passive-damping systems, which combine the simplicity and robustness of passive control systems with the efficiency of active feedback control. To demonstrate the effectiveness of the proposed approach, a passive-damping system for the seismic protection of a five-story building is designed with excellent results. |
| format | Article |
| id | doaj-art-fe11f31b2f6849bcb0686d16bca38291 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-fe11f31b2f6849bcb0686d16bca382912025-02-03T01:10:26ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/510236510236Optimal Design of Complex Passive-Damping Systems for Vibration Control of Large Structures: An Energy-to-Peak ApproachFrancisco Palacios-Quiñonero0Josep Rubió-Massegú1Josep M. Rossell2Hamid Reza Karimi3Department of Applied Mathematics III, Universitat Politècnica de Catalunya (UPC), Avenue Bases de Manresa 61-73, Manresa, 08242 Barcelona, SpainDepartment of Applied Mathematics III, Universitat Politècnica de Catalunya (UPC), Avenue Bases de Manresa 61-73, Manresa, 08242 Barcelona, SpainDepartment of Applied Mathematics III, Universitat Politècnica de Catalunya (UPC), Avenue Bases de Manresa 61-73, Manresa, 08242 Barcelona, SpainDepartment of Engineering, Faculty of Engineering and Science, University of Agder (UiA), 4898 Grimstad, NorwayWe present a new design strategy that makes it possible to synthesize decentralized output-feedback controllers by solving two successive optimization problems with linear matrix inequality (LMI) constraints. In the initial LMI optimization problem, two auxiliary elements are computed: a standard state-feedback controller, which can be taken as a reference in the performance assessment, and a matrix that facilitates a proper definition of the main LMI optimization problem. Next, by solving the second optimization problem, the output-feedback controller is obtained. The proposed strategy extends recent results in static output-feedback control and can be applied to design complex passive-damping systems for vibrational control of large structures. More precisely, by taking advantages of the existing link between fully decentralized velocity-feedback controllers and passive linear dampers, advanced active feedback control strategies can be used to design complex passive-damping systems, which combine the simplicity and robustness of passive control systems with the efficiency of active feedback control. To demonstrate the effectiveness of the proposed approach, a passive-damping system for the seismic protection of a five-story building is designed with excellent results.http://dx.doi.org/10.1155/2014/510236 |
| spellingShingle | Francisco Palacios-Quiñonero Josep Rubió-Massegú Josep M. Rossell Hamid Reza Karimi Optimal Design of Complex Passive-Damping Systems for Vibration Control of Large Structures: An Energy-to-Peak Approach Abstract and Applied Analysis |
| title | Optimal Design of Complex Passive-Damping Systems for Vibration Control of Large Structures: An Energy-to-Peak Approach |
| title_full | Optimal Design of Complex Passive-Damping Systems for Vibration Control of Large Structures: An Energy-to-Peak Approach |
| title_fullStr | Optimal Design of Complex Passive-Damping Systems for Vibration Control of Large Structures: An Energy-to-Peak Approach |
| title_full_unstemmed | Optimal Design of Complex Passive-Damping Systems for Vibration Control of Large Structures: An Energy-to-Peak Approach |
| title_short | Optimal Design of Complex Passive-Damping Systems for Vibration Control of Large Structures: An Energy-to-Peak Approach |
| title_sort | optimal design of complex passive damping systems for vibration control of large structures an energy to peak approach |
| url | http://dx.doi.org/10.1155/2014/510236 |
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