Discretization and event triggered digital output feedback control of LPV systems

Autor(es)

Braga, Marcio F. ^[1] ; Morais, Cecilia F. ^[1] ; Tognetti, Eduardo S. ^[2] ; Oliveira, Ricardo C. L. F. ^[1] ; Peres, Pedro L. D. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Campinas UNICAMP, Sch Elect & Comp Engn, BR-13083852 Campinas, SP - Brazil

^[2] Univ Brasilia UnB, Dept Elect Engn, BR-70910900 Brasilia, DF - Brazil

• Tipo de documento: Artigo Científico
• Fonte: SYSTEMS & CONTROL LETTERS; v. 86, p. 54-65, DEC 2015.
• Citações Web of Science: 10

Resumo

This paper investigates the problem of discretization and digital output feedback control design for continuous-time linear parameter-varying (LPV) systems subject to a time-varying networked-induced delay. The proposed discretization procedure converts a continuous-time LPV system into an equivalent discrete-time LPV system based on an extension of the Taylor series expansion and using an event-based sampling. The scheduling parameters are continuously measured and modeled as piecewise constant. A new transmission of the measured output to the controller is triggered by significant changes in the parameters, yielding time-varying transmission intervals. The obtained discretized model has matrices with polynomial dependence on the time-varying parameters and an additive norm-bounded term representing the discretization residual error. A two step strategy based on linear matrix inequality conditions is then proposed to synthesize a digital static scheduled output feedback control law that stabilizes both the discretized and the LPV model. The conditions can also be used to provide robust (i.e., independent of the scheduling parameter) static output feedback controllers. The viability of the proposed design method is illustrated through numerical examples. (C) 2015 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 14/22881-1 - Controle de sistemas chaveados, sujeitos a saltos markovianos e outras classes de sistemas híbridos usando LMIs
• Beneficiário: Cecília de Freitas Morais
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 11/08312-6 - Discretização e Controle por Rede de Sistemas Politópicos com Taxa de Amostragem Incerta e Atraso
• Beneficiário: Marcio Feliciano Braga
• Modalidade de apoio: Bolsas no Brasil - Doutorado