Fuzzy-Augmented Model Reference Adaptive PID Control Law Design for Robust Voltage Regulation in DC–DC Buck Converters

Omer Saleem, Khalid Rasheed Ahmad and Jamshed Iqbal ()
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Omer Saleem: Department of Electrical Engineering, National University of Computer and Emerging Sciences, Lahore 54770, Pakistan
Khalid Rasheed Ahmad: Department of Electrical Engineering, National University of Computer and Emerging Sciences, Lahore 54770, Pakistan
Jamshed Iqbal: School of Computer Science, Faculty of Science and Engineering, University of Hull, Hull HU6 7RX, UK

Mathematics, 2024, vol. 12, issue 12, 1-25

Abstract: This paper presents a novel fuzzy-augmented model reference adaptive voltage regulation strategy for the DC–DC buck converters to enhance their resilience against random input variations and load-step transients. The ubiquitous proportional-integral-derivative (PID) controller is employed as the baseline scheme, whose gains are tuned offline via a pre-calibrated linear-quadratic optimization scheme. However, owing to the inefficacy of the fixed-gain PID controller against parametric disturbances, it is retrofitted with a model reference adaptive controller that uses Lyapunov gain adaptation law for the online modification of PID gains. The adaptive controller is also augmented with an auxiliary fuzzy self-regulation system that acts as a superior regulator to dynamically update the adaptation rates of the Lyapunov gain adaptation law as a nonlinear function of the system’s classical error and its normalized acceleration. The proposed fuzzy system utilizes the knowledge of the system’s relative rate to execute better self-regulation of the adaptation rates, which in turn, flexibly steers the adaptability and response speed of the controller as the error conditions change. The propositions above are validated by performing tailored hardware experiments on a low-power DC–DC buck converter prototype. The experimental results validate the improved reference tracking and disturbance rejection ability of the proposed control law compared to the fixed PID controller.

Keywords: buck converter; PID controller; model reference adaptive system; Lyapunov gain adjustment law; fuzzy inference; relative rate (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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