Equilibrium control of nonlinear verticum-type systems, applied to integrated pest control
Linear verticum-type control and observation systems have been introduced for modelling certain industrial systems, consisting of subsystems, vertically connected by certain state variables. Recently the concept of verticum-type observation systems and the corresponding observability condition have...
| Main Authors: | , , , |
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| Format: | info:eu-repo/semantics/article |
| Language: | English |
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2017
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| Online Access: | http://hdl.handle.net/10835/4915 |
| _version_ | 1789406765409894400 |
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| author | Molnár, S. Gámez Cámara, Manuel Angel López, Inmaculada Cabello García, Tomás |
| author_facet | Molnár, S. Gámez Cámara, Manuel Angel López, Inmaculada Cabello García, Tomás |
| author_sort | Molnár, S. |
| collection | DSpace |
| description | Linear verticum-type control and observation systems have been introduced for modelling certain industrial systems, consisting of subsystems, vertically connected by certain state variables. Recently the concept of verticum-type observation systems and the corresponding observability condition have been extended by the authors to the nonlinear case. In the present paper the general concept of a nonlinear verticum-type control system is introduced, and a sufficient condition for local controllability to equilibrium is obtained. In addition to a usual linearization, the basic idea is a decomposition of the control of the whole system into the control of the subsystems. Starting from the integrated pest control model of Rafikov and Limeira (2012) and Rafikov et al. (2012), a nonlinear verticum-type model has been set up an equilibrium control is obtained. Furthermore, a corresponding bioeconomical problem is solved minimizing the total cost of integrated pest control (combining chemical control with a biological one). |
| format | info:eu-repo/semantics/article |
| id | oai:repositorio.ual.es:10835-4915 |
| institution | Universidad de Cuenca |
| language | English |
| publishDate | 2017 |
| record_format | dspace |
| spelling | oai:repositorio.ual.es:10835-49152023-10-06T14:27:19Z Equilibrium control of nonlinear verticum-type systems, applied to integrated pest control Molnár, S. Gámez Cámara, Manuel Angel López, Inmaculada Cabello García, Tomás Verticum-Type System Nonlinear control system Integrated pest control Linear verticum-type control and observation systems have been introduced for modelling certain industrial systems, consisting of subsystems, vertically connected by certain state variables. Recently the concept of verticum-type observation systems and the corresponding observability condition have been extended by the authors to the nonlinear case. In the present paper the general concept of a nonlinear verticum-type control system is introduced, and a sufficient condition for local controllability to equilibrium is obtained. In addition to a usual linearization, the basic idea is a decomposition of the control of the whole system into the control of the subsystems. Starting from the integrated pest control model of Rafikov and Limeira (2012) and Rafikov et al. (2012), a nonlinear verticum-type model has been set up an equilibrium control is obtained. Furthermore, a corresponding bioeconomical problem is solved minimizing the total cost of integrated pest control (combining chemical control with a biological one). 2017-07-13T11:36:24Z 2017-07-13T11:36:24Z 2013 info:eu-repo/semantics/article http://hdl.handle.net/10835/4915 10.1016/j.biosystems.2013.05.005 en Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess |
| spellingShingle | Verticum-Type System Nonlinear control system Integrated pest control Molnár, S. Gámez Cámara, Manuel Angel López, Inmaculada Cabello García, Tomás Equilibrium control of nonlinear verticum-type systems, applied to integrated pest control |
| title | Equilibrium control of nonlinear verticum-type systems, applied to integrated pest control |
| title_full | Equilibrium control of nonlinear verticum-type systems, applied to integrated pest control |
| title_fullStr | Equilibrium control of nonlinear verticum-type systems, applied to integrated pest control |
| title_full_unstemmed | Equilibrium control of nonlinear verticum-type systems, applied to integrated pest control |
| title_short | Equilibrium control of nonlinear verticum-type systems, applied to integrated pest control |
| title_sort | equilibrium control of nonlinear verticum-type systems, applied to integrated pest control |
| topic | Verticum-Type System Nonlinear control system Integrated pest control |
| url | http://hdl.handle.net/10835/4915 |
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