A Lyapunov-stable interval type-2 fuzzy PID controller design for ultra-lift Luo converter

Ahmet Gani

doi:10.2478/jee-2026-0030

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A Lyapunov-stable interval type-2 fuzzy PID controller design for ultra-lift Luo converter

Journal of Electrical Engineering

Volume 77 (2026): Issue 3 (June 2026)

By: Ahmet Gani

Open Access

|Jun 2026

Abstract

The ultra-lift Luo converter is a fourth-order DC-DC step-up converter capable of providing high voltage gain with low voltage and current ripples. However, its nonlinear dynamics, switching behaviour, and parametric uncertainties make controller design a challenging task. This paper proposes a Lyapunov-stable interval type-2 fuzzy PID controller for output voltage tracking of the ultra-lift Luo converter. The controller performance is investigated under step reference voltage changes, input voltage variations, and output capacitor uncertainties. A conventional PID controller is considered for comparison. Performance evaluation is carried out in terms of rise time, settling time, recovery time, overshoot/undershoot, and integral absolute error using a MATLAB/Simulink-based interval type-2 fuzzy logic toolbox. Simulation results demonstrate that the proposed controller achieves superior transient performance and provides enhanced robustness against parameter uncertainties compared with the conventional PID controller.

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Articles in this issue

DOI: https://doi.org/10.2478/jee-2026-0030 | Journal eISSN: 1339-309X | Journal ISSN: 1335-3632

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Language: English

Page range: 311 - 322

Submitted on: May 17, 2026

Published on: Jun 17, 2026

Published by: Slovak University of Technology in Bratislava

In partnership with: Paradigm Publishing Services

Publication frequency: 6 issues per year

Keywords:

ultra-lift Luo converter,

Lyapunov stability,

interval type-2 fuzzy PID controller

Related subjects:

Engineering,

Introductions and overviews,

Engineering, other

© 2026 Ahmet Gani, published by Slovak University of Technology in Bratislava
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 77 (2026): Issue 3 (June 2026)