Discretisation and control of polytopic systems with uncertain sampling rates and network-induced delays

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: International Journal of Control; v. 87, n. 11, p. 2398-2411, 2014.
• Citações Web of Science: 10

Resumo

This paper investigates the problems of uncertain sampling rate discretisation and the networked control of uncertain time-invariant continuous-time linear systems in polytopic domains. The sampling period is assumed to be unknown but belonging to a given interval. To avoid the difficulty of dealing with the exponential of uncertain matrices, a discrete-time model is obtained by applying a Taylor series expansion of degree l to the original system. The resulting discrete-time model is composed of homogeneous polynomial matrices with parameters lying in the Cartesian product of simplexes, called a multi-simplex, plus an additive norm-bounded term representing the discretisation residual error. The original continuous-time system is controlled through a communication network that introduces a time delay in the process. Linear matrix inequality relaxations that include a scalar parameter search are proposed for the design of a digital robust state feedback controller that guarantees the closed-loop stability of the networked control system. Numerical experiments are presented to illustrate the versatility of the proposed method, which can be applied to a more general class of networked control problems than the existing approaches in the literature. (AU)

• 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