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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Braga, Marcio F. [1] ; Morais, Cecilia F. [1] ; Tognetti, Eduardo S. [2] ; Oliveira, Ricardo C. L. F. [1] ; Peres, Pedro L. D. [1]
Total Authors: 5
Affiliation:
[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
Total Affiliations: 2
Document type: Journal article
Source: International Journal of Control; v. 87, n. 11, p. 2398-2411, 2014.
Web of Science Citations: 10
Abstract

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)

FAPESP's process: 11/08312-6 - Discretization and Networked Control of Polytopic Systems with Uncertain Sampling Rates and Delay
Grantee:Marcio Feliciano Braga
Support Opportunities: Scholarships in Brazil - Doctorate