A passive repetitive controller for discrete-time finite-frequency positive-real systems

This work proposes and studies a new internal model for discrete-time passive or finite-frequency positive-real systems which can be used in repetitive control designs to track or to attenuate periodic signals. The main characteristic of the proposed internal model is its passivity. This property im...

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Detalhes bibliográficos
Autores: Costa Castelló, Ramon|||0000-0003-2553-5901, Wang, Danwei, Griñó Cubero, Robert|||0000-0001-6045-4600
Formato: artículo
Fecha de publicación:2009
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/6104
Acesso em linha:https://hdl.handle.net/2117/6104
Access Level:acceso abierto
Palavra-chave:Discrete-time systems
Discrete-time control
Discrete-time passivity
Finite-frequency positive realness
Repetitive control
Control de tiempo discreto
Control de temps discret
Control repetitivo
Control repetitiu
Sistemes de temps discret
Classificació INSPEC::Control theory
Àrees temàtiques de la UPC::Informàtica::Automàtica i control
Descrição
Resumo:This work proposes and studies a new internal model for discrete-time passive or finite-frequency positive-real systems which can be used in repetitive control designs to track or to attenuate periodic signals. The main characteristic of the proposed internal model is its passivity. This property implies closed-loop stability when it is used with discrete-time passive plants, as well as the broader class of discrete-time finite-frequency positive real plants. This work discusses the internal model energy function and its frequency response. A design procedure for repetitive controllers based on the proposed internal model is also presented. Two numerical examples are included.