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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.)

Robust Stability Analysis of Grid-Connected Converters Based on Parameter- Dependent Lyapunov Functions

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Author(s):
Braga, Marcio F. ; Morais, Cecilia F. ; Maccari, Jr., Luiz A. ; Tognetti, Eduardo S. ; Montagner, Vinicius F. ; Oliveira, Ricardo C. L. F. ; Peres, Pedro L. D.
Total Authors: 7
Document type: Journal article
Source: JOURNAL OF CONTROL AUTOMATION AND ELECTRICAL SYSTEMS; v. 28, n. 2, p. 159-170, APR 2017.
Web of Science Citations: 1
Abstract

This paper deals with the problem of robust stability analysis of grid-connected converters with LCL filters controlled through a digital signal processor and subject to uncertain grid inductance. To model the uncertain continuous-time plant and the digital control gain, a discretization procedure, described in terms of a Taylor series expansion, is employed to determine an accurate discrete-timemodel. Then, a linear matrix inequality-based condition is proposed to assess the robust stability of the polynomial discrete-time augmented system that includes the filter state variables, the states of resonant controllers and the delay from the digital control implementation. By means of a parameterdependent Lyapunov function, the proposed strategy has as main advantage to provide theoretical certification of stability of the uncertain continuous-time closed-loop system, circumventing the main disadvantages of previous approaches that employ approximate discretized models, neglecting the errors. Numerical simulations illustrate the benefits of the discretization technique and experimental results validate the proposed approach. (AU)

FAPESP's process: 14/22881-1 - Control of switched systems, Markov jump linear systems and other classes of hybrid systems through LMIs
Grantee:Cecília de Freitas Morais
Support Opportunities: Scholarships in Brazil - Post-Doctoral
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