Artículo
Global stabilization of fixed points using predictive control
Autor/es | Liz Marzán, Eduardo
Franco Coronil, Daniel |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2010-06 |
Fecha de depósito | 2016-10-07 |
Publicado en |
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Resumen | We analyze the global stability properties of some methods of predictive control. We particularly focus on the optimal control function introduced by de Sousa Vieira and Lichtenberg [Phys. Rev. E54, 1200 (1996)]. We ... We analyze the global stability properties of some methods of predictive control. We particularly focus on the optimal control function introduced by de Sousa Vieira and Lichtenberg [Phys. Rev. E54, 1200 (1996)]. We rigorously prove that it is possible to use this method for the global stabilization of a discrete system xn+1=f(xn) into a positive equilibrium for a class of maps commonly used in population dynamics. Moreover, the controlledsystem is globally stable for all values of the control parameter for which it is locally asymptotically stable. Our study highlights the difficulty of obtaining global stability results for other methods of predictive control, where higher iterations of f are used in the control scheme. |
Agencias financiadoras | Ministerio de Ciencia e Innovación (MICIN). España European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) |
Identificador del proyecto | MTM2007-60679 |
Cita | Liz Marzán, E. y Franco Coronil, D. (2010). Global stabilization of fixed points using predictive control. Chaos: An interdisciplinary journal of nonlinear science, 20 (2), 23124-1-23124-9. |
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