Discrete State-Feedback Control Design with D-Stability and Genetic Algorithm for LED Driver Using a Buck Converter

• Published in: International transactions on electrical energy systems Vol. 2022; pp. 1 - 9
• Main Authors: Sanchez, René Osorio, Rumbo Morales, Jesse Yoe, Ortiz Torres, Gerardo, Pérez Vidal, Alan Francisco, Valdez Resendiz, Jesús Elias, Sorcia Vázquez, Felipe de Jesús, Nava, Nimrod Vaquez
• Format: Journal Article
• Language: English
• Published: Hoboken Hindawi 21-07-2022; Hindawi Limited
• Subjects: Algorithms; Buck converters; Closed loop systems; Closed loops; Control stability; Control systems design; Controllers; Cost function; Design; Eigenvalues; Feedback control; Genetic algorithms; Light emitting diodes; Linear matrix inequalities; Machine learning; Simulation; Stability; State feedback
• ISSN: 2050-7038; 2050-7038
• DOI: 10.1155/2022/8165149

In this paper, a discrete state-feedback controller is applied to control the current in power LEDs by using a buck converter. Sufficient conditions for the existence of the controller are given in terms of linear matrix inequalities (LMIs) with D-stability theory. In order to consider the specific closed-loop dynamics of the closed-loop LED driver, the genetic algorithm (GA) technique is applied, as a complement of the D-stability theory. Therefore, the proposed GA technique is used to search offline the optimal closed-loop eigenvalues to have a desired response of the closed-loop system, subject to a proposed cost function equation. The main contribution of this work is the design and the experimental validation of both the state-feedback controller and the GA to achieve the desired closed-loop dynamics of the LED-driver system. Finally, simulations and experimental results are done in order to illustrate the effectiveness of the proposed methodology.