Pitarch Pérez, JL.; Sala Piqueras, A.; Lauber, J.; Guerra, TM. (2016). Control synthesis for polynomial discrete-time systems under input constraints via delayed-state Lyapunov functions. International Journal of Systems Science. 47(5):1176-1184. https://doi.org/10.1080/00207721.2014.915357
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/83202
Title:
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Control synthesis for polynomial discrete-time systems under input constraints via delayed-state Lyapunov functions
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Author:
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Pitarch Pérez, José Luis
Sala Piqueras, Antonio
Lauber, J.
Guerra, T. M.
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UPV Unit:
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Universitat Politècnica de València. Instituto Universitario de Automática e Informática Industrial - Institut Universitari d'Automàtica i Informàtica Industrial
Universitat Politècnica de València. Departamento de Ingeniería de Sistemas y Automática - Departament d'Enginyeria de Sistemes i Automàtica
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Issued date:
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Abstract:
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This paper presents a discrete-time control design methodology for input-saturating systems using a Lyapunov function with dependence on present and past states. The approach is used to bypass the usual difficulty with ...[+]
This paper presents a discrete-time control design methodology for input-saturating systems using a Lyapunov function with dependence on present and past states. The approach is used to bypass the usual difficulty with full polynomial Lyapunov functions of expressing the problem in a convex way. Also polynomial controllers are allowed to depend on both present and past states. Furthermore, by considering saturation limits on the control action, the information about the relationship between the present and past states is introduced via Positivstellensatz multipliers. Sum-of-squares techniques and available semi-definite programming (SDP) software are used in order to find the controller.
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Subjects:
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Delayed Lyapunov function
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discrete time
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polynomial systems
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control design
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SOS approach
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stabilisation
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convex optimisation
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Copyrigths:
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Reserva de todos los derechos
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Source:
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International Journal of Systems Science. (issn:
0020-7721
) (eissn:
1464-5319
)
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DOI:
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10.1080/00207721.2014.915357
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Publisher:
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Taylor & Francis
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Publisher version:
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http://doi.org/10.1080/00207721.2014.915357
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Project ID:
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info:eu-repo/grantAgreement/MICINN//DPI2011-27845-C02-01/ES/ESTIMACION, OPTIMIZACION Y CONTROL MULTIVARIABLE EN SISTEMAS MULTI-MODELO/
info:eu-repo/grantAgreement/GVA//PROMETEOII%2F2013%2F004/ES/DISEÑO DE SISTEMAS DE CONTROL MULTIVARIABLE (DISICOM)/
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Thanks:
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The research work by J.L. Pitarch and A. Sala has been partially supported by the Spanish government under research project [grant number DPI2011-27845-C02-01 (MINECO)]; Generalitat Valenciana [grant number PROMETEOII/2013/004]. ...[+]
The research work by J.L. Pitarch and A. Sala has been partially supported by the Spanish government under research project [grant number DPI2011-27845-C02-01 (MINECO)]; Generalitat Valenciana [grant number PROMETEOII/2013/004]. The work by T.M. Guerra and J. Lauber has been supported by the International Campus on Safety and Intermodality in Transportation, the European Community, Delegation Regionale a la Recherche et a la Technologie, Ministere de l'Enseignement superieur et de la Recherche, Region Nord Pas de Calais and the Centre National de la Recherche Scientifique.
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Type:
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Artículo
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