Robust Stabilization of D-LQR-LMI Controllers by Norm-Bounded Uncertainties
DOI:
https://doi.org/10.5433/1679-0375.2024.v45.51613Keywords:
LQR, LMIs, robust D-stability, norm-bounded uncertaintiesAbstract
This study focuses on the synthesizing of Linear Quadratic Regulators (LQR) applied to linear systems with norm-bounded uncertainty models. Therefore, the main objective is to establish new LMI conditions to guarantee the robust D-stability so that the transient response can be achieved through classical LMI 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, where these devices are able to operate under actuator faults. Finally, comparative analyses will be conducted with the literature considering factors such as the practical applicability and the transient response of signals of interest, including the evaluation of the controller behavior in two scenarios, i.e., with fully operational actuators and under partial failures. Moreover, the LMI structure of the proposed theorem offers greater design flexibility, especially for high values of the parameters of the disk D(q,r).
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Copyright (c) 2024 Rodrigo da Ponte Caun, Renan Jacob de Carvalho, Edvaldo Assunção, Willian Ricardo Bispo Murbak Nunes, Marcelo Carvalho Minhoto Teixeira, Reginaldo Nunes de Souza
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