Open AccessSynthesis of A Digital PID/LQR Control System for Duty-Cycle Modulation Buck Converters
Author(s) -
Paul Owoundi Etouke,
Jean Mbihi,
Léandre Nneme Nneme
Publication year - 2020
Publication title -
international journal of scientific research in computer science, engineering and information technology
Language(s) - English
Resource type - Journals
ISSN - 2456-3307
DOI - 10.32628/cseit206619
Subject(s) - pid controller , control theory (sociology) , duty cycle , buck converter , linear quadratic regulator , transfer function , converters , computer science , matlab , discretization , engineering , mathematics , control engineering , voltage , temperature control , control (management) , mathematical analysis , electrical engineering , artificial intelligence , operating system
This research paper presents a synthesis approach of a digital optimal PID/LQR control system for DCM (duty-cycle cycle modulation) Buck converters. The step response of the DCM Buck converter is obtained under Multisim virtual simulation framework. The related data file is saved as *.SCP format, and imported into EditPad Lite7 editor, then exported as Matlab file to be processed. The transfer function of the DCM Buck converter is computed from the imported step response data. Then, using the zoh (zero order holder) discretization method with 100 ms resampling period, the z-transfer function of the DCM Buck converter is computed, and that of the analog optimal PID/LQR(linear quadratic regulator) controller is calculated using Tustin’s discretization technique. Furthermore, the step response of the related closed loop digital PID control system is simulated and compared to that of the original analog PID/LQR control system. The simulation results obtained are presented in order to show the high precision as well as the reliability of Matlab-based synthesis of digital optimal PID/LQR control systems for DCM Buck converters.