Control Systems and Optimization Letters
Vol 4, No 3 (2026)

Comparative Analysis of Time-Domain, Frequency-Domain, and PID Control Design Methods for Longitudinal Pitch Dynamics of a Fixed-Wing UAV

Benedict Janzzen Samuelle Pang (Universitas Sebelas Maret)
Hari Maghfiroh (Universitas Sebelas Maret)
Joko Slamet Saputro (Universitas Sebelas Maret)



Article Info

Publish Date
01 Nov 2026

Abstract

This paper presents a comparative analysis of three control system design methodologies, namely Root Locus, Bode plot frequency response, and Proportional-Integral-Derivative (PID) control, applied to the longitudinal pitch dynamics of a fixed-wing Unmanned Aerial Vehicle (UAV). The plant is modeled as a fourth-order transfer function exhibiting non-minimum-phase (NMP) characteristics due to the presence of a right-half-plane (RHP) zero. These characteristics complicate the control design, resulting in an initial undershoot and pronounced oscillatory behavior. Open-loop analysis reveals a steady-state error of 1.790 and an Integral Absolute Error (IAE) of 54.765. To address these limitations, a proportional control strategy was designed using Root Locus and subsequently evaluated through frequency response analysis. Although the proportional controller improves the settling time to 5.694 s, it retains a steady-state error of 0.458 and produces an overshoot of 106.17%. To address these limitations, a PID controller was designed using a reference-tracking tuning procedure. The integral action eliminates the steady-state error, while the derivative action contributes to improved transient damping. The selected PID controller achieves a peak overshoot of 0% relative to the reference command, although a sub-reference damped oscillation remains and the settling time increases to 13.444 s. The PID controller reduces the total IAE from 54.765 to 2.081, corresponding to a 96.2% reduction. These results quantify the trade-off between transient response speed and tracking accuracy and provide a comparative basis for selecting control strategies for non-minimum-phase UAV pitch dynamics.

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Journal Info

Abbrev

csol

Publisher

Subject

Aerospace Engineering Automotive Engineering Computer Science & IT Control & Systems Engineering Electrical & Electronics Engineering Engineering

Description

Control Systems and Optimization Letters is an open-access journal offering authors the opportunity to publish in all fundamental and interdisciplinary areas of control and optimization, rapidly enabling a safe and sustainable interconnected human society. Control Systems and Optimization Letters ...