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Renan J. de Carvalho
Coordenação de Engenharia Elétrica, Universidade Tecnológica Federal do Paraná, PR
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Rodrigo P. Caun
Coordenação de Engenharia Elétrica, Universidade Tecnológica Federal do Paraná, PR
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Edvaldo Assunção
Faculdade de Engenharia de Ilha Solteira, Universidade Estadual Paulista, SP
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Marcelo C. M. Teixeira
Faculdade de Engenharia de Ilha Solteira, Universidade Estadual Paulista, SP
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Willian R. B. M. Nunes
Coordenação de Engenharia Elétrica, Universidade Tecnológica Federal do Paraná, PR
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Reginaldo N. de Souza
Coordenação de Engenharia Elétrica, Universidade Tecnológica Federal do Paraná, PR
Keywords:
LQR, LMIs, robust D -stability, norm-bounded uncertainties
Abstract
The present study emphasizes the synthesis of Linear Quadratic Regulators (LQR) applied to linear systems with norm-bounded uncertainty models. Therefore, the main objective is to establish new LMIs conditions, in order to guarantee the robust D -stability such that the transient response is achieved through classical LMIs restrictions. The mathematical analysis is based on the control design (by states feedback) of the power system stabilizer and the flexible AC transmission systems (FACTS) controllers, on what these devices are able to operate under actuators faults. Finally, comparative analyzes with the literature will be based on regions of feasibility, practical applicability and transient response of interest signals.
