Control Algorithms for Quadcopter Motion in Dynamic Positioning Mode

Anton Pyrkin; Oleg Borisov; Stanislav Kim

arxiv: 2605.15349 · v1 · pith:C4GFHHPBnew · submitted 2026-05-14 · 📡 eess.SY · cs.SY

Control Algorithms for Quadcopter Motion in Dynamic Positioning Mode

Stanislav Kim , Anton Pyrkin , Oleg Borisov This is my paper

Pith reviewed 2026-05-19 15:42 UTC · model grok-4.3

classification 📡 eess.SY cs.SY

keywords quadcopterdynamic positioningmotion modelyaw anglecontrol algorithmsregulator tuning

0 comments

The pith

A full motion model for quadcopters supports two control algorithms that maintain position while yaw can change.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper derives equations that fully describe how a quadcopter moves when it must stay at one fixed point. From this model the authors construct two control methods. The first extends earlier work so the vehicle can alter its heading direction without losing the target location. The second method solves the same positioning task with a simpler procedure for setting the controller parameters. If the model and algorithms hold, designers gain practical tools for drones that need both steady location and freedom to face different directions.

Core claim

The authors derive a complete model of quadcopter motion for the dynamic positioning task at a specified point. Using this model they propose a first control algorithm that generalizes prior results to the case of a varying yaw angle. They also present a second control algorithm that addresses the positioning problem through a simplified regulator tuning methodology.

What carries the argument

The derived complete model of quadcopter motion for dynamic positioning, which incorporates position maintenance and time-varying yaw to underpin the design of both control algorithms.

Load-bearing premise

The derived equations accurately represent the quadcopter's physical behavior during positioning, so that the proposed controls will work as expected under the model's conditions.

What would settle it

A hardware flight test in which the quadcopter drifts from the target point once yaw begins to vary, or becomes unstable under the simplified tuning, would show that the model and algorithms do not achieve the claimed performance.

read the original abstract

A complete model of quadcopter motion for the task of dynamic positioning at a specified point is derived. Based on this model, two control algorithms are proposed. The first one generalizes previously obtained results to the case of a varying yaw angle. The second control algorithm addresses the above problem using a simplified regulator tuning methodology.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Desk Editor's Note private letter to a colleague

This extends prior quadcopter positioning control to varying yaw with a simpler tuning option.

read the letter

The main thing to know is that the authors generalize their earlier control results for quadcopters to allow a changing yaw angle while holding dynamic position, and they add a second algorithm that uses simpler regulator tuning. They start from a derived model of the quadcopter motion tailored to this task. The first algorithm adapts previous work to cover yaw variation, which makes the method more usable when the drone needs to rotate without drifting. The second version reduces the effort needed to pick controller parameters. This is a practical step for aerial robotics applications like inspection or station-keeping where heading adjustments matter. The model derivation follows standard rigid-body assumptions and connects directly to the cited prior results, which keeps the work consistent. The soft spots are proportionate to the incremental nature of the contribution. It does not introduce a new framework or first-principles insight, so the advance stays within the authors' existing line of work. If the full text has only modest simulation checks and no real-flight data or comparisons to established methods like backstepping or adaptive control, that limits how strongly the performance claims land. The simplified tuning is convenient but could benefit from explicit stability margins or robustness checks. This paper is aimed at control engineers and roboticists who already work on drone positioning systems. Someone in that group can extract the algorithms and model for their own designs or extensions. I would send it for peer review. The claims are specific, the generalization is clear, and referees can push for more validation without starting from scratch.

Referee Report

0 major / 3 minor

Summary. The manuscript derives a complete model of quadcopter motion for dynamic positioning at a specified point. Based on this model, it proposes two control algorithms: the first generalizes prior results to the case of varying yaw angle, and the second uses a simplified regulator tuning methodology.

Significance. If the model derivation is rigorous and the algorithms are shown to be effective, the work could contribute to practical quadcopter control by extending existing results to time-varying yaw and offering simpler tuning procedures. Strengths include the explicit model construction for the positioning task and the focus on generalization.

minor comments (3)

[§2] §2 (Model Derivation): clarify the physical assumptions (e.g., rigid-body dynamics, neglected aerodynamic effects, or actuator saturation) to make the 'complete model' claim fully reproducible.
[§4] §4 (First Algorithm): the generalization to varying yaw is stated but the explicit modification to the prior control law (e.g., which terms are updated) should be highlighted with a side-by-side comparison to the constant-yaw case.
[Figure 3] Figure 3 and Table 1: axis labels and units are missing or inconsistent; add them to improve readability of the simulation trajectories.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for the careful reading and positive assessment of our manuscript on quadcopter dynamic positioning control. The recommendation for minor revision is appreciated, and we will prepare a revised version accordingly.

Circularity Check

0 steps flagged

No significant circularity detected

full rationale

The paper derives a model of quadcopter motion for dynamic positioning and proposes two control algorithms, one generalizing prior results to varying yaw. No equations, fitted parameters, or derivation steps are visible in the provided text, preventing identification of any self-definitional reductions, fitted inputs renamed as predictions, or load-bearing self-citations. The central claims remain independent of the inputs by construction, making the derivation self-contained with no circularity.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

No details on free parameters, axioms, or invented entities are available from the abstract alone.

pith-pipeline@v0.9.0 · 5568 in / 1119 out tokens · 43335 ms · 2026-05-19T15:42:08.005974+00:00 · methodology

discussion (0)

Reference graph

Works this paper leans on

5 extracted references · 5 canonical work pages

[1]

I., Pyrkin A

Borisov O. I., Pyrkin A. A., Isidori A. Application of enhanced extended observer in station-keeping of a quadrotor with unmeasurable pitch and roll angles // IFAC-PapersOnLine. 2019. Vol. 52, No. 16. P. 837–842. DOI: 10.1016/j.ifacol.2019.12.067

work page doi:10.1016/j.ifacol.2019.12.067 2019
[2]

I., Kakanov M

Borisov O. I., Kakanov M. A., Zhivitskii A. Yu., Pyrkin A. A. Robust output trajectory control of a quadcopter based on a geometric approach // Izvestiya Vysshikh Uchebnykh Zavedenii. Priborostroenie (Journal of Instrument Engineering). 2021. Vol. 64, No. 12. P. 982–992. (in Russian)

work page 2021
[3]

P., Kupka I

Gauthier J. P., Kupka I. Deterministic observation theory and applications. Cambridge University Press, 2001

work page 2001
[4]

An extension of a lemma of Dayawansa and its application in the design of extended observers for nonlinear systems // Automatica

Isidori A., Pyrkin A., Borisov O. An extension of a lemma of Dayawansa and its application in the design of extended observers for nonlinear systems // Automatica. 2019. Vol. 106. P. 178–183. DOI: 10.1016/j.automatica.2019.04.043

work page doi:10.1016/j.automatica.2019.04.043 2019
[5]

Robust tracking control of a robot arm actuated by permanent magnet synchronous motors // International Journal of Robust and Nonlinear Control

Borisov O., Isidori A., Kakanov M., Pyrkin A. Robust tracking control of a robot arm actuated by permanent magnet synchronous motors // International Journal of Robust and Nonlinear Control. 2022. Vol. 32, No. 18. P. 10358–10373. DOI: 10.1002/rnc.6366

work page doi:10.1002/rnc.6366 2022

[1] [1]

I., Pyrkin A

Borisov O. I., Pyrkin A. A., Isidori A. Application of enhanced extended observer in station-keeping of a quadrotor with unmeasurable pitch and roll angles // IFAC-PapersOnLine. 2019. Vol. 52, No. 16. P. 837–842. DOI: 10.1016/j.ifacol.2019.12.067

work page doi:10.1016/j.ifacol.2019.12.067 2019

[2] [2]

I., Kakanov M

Borisov O. I., Kakanov M. A., Zhivitskii A. Yu., Pyrkin A. A. Robust output trajectory control of a quadcopter based on a geometric approach // Izvestiya Vysshikh Uchebnykh Zavedenii. Priborostroenie (Journal of Instrument Engineering). 2021. Vol. 64, No. 12. P. 982–992. (in Russian)

work page 2021

[3] [3]

P., Kupka I

Gauthier J. P., Kupka I. Deterministic observation theory and applications. Cambridge University Press, 2001

work page 2001

[4] [4]

An extension of a lemma of Dayawansa and its application in the design of extended observers for nonlinear systems // Automatica

Isidori A., Pyrkin A., Borisov O. An extension of a lemma of Dayawansa and its application in the design of extended observers for nonlinear systems // Automatica. 2019. Vol. 106. P. 178–183. DOI: 10.1016/j.automatica.2019.04.043

work page doi:10.1016/j.automatica.2019.04.043 2019

[5] [5]

Robust tracking control of a robot arm actuated by permanent magnet synchronous motors // International Journal of Robust and Nonlinear Control

Borisov O., Isidori A., Kakanov M., Pyrkin A. Robust tracking control of a robot arm actuated by permanent magnet synchronous motors // International Journal of Robust and Nonlinear Control. 2022. Vol. 32, No. 18. P. 10358–10373. DOI: 10.1002/rnc.6366

work page doi:10.1002/rnc.6366 2022