Preprint / Version 1

Investigation of Closed-Loop Control Strategies for a Martian Quadcopter

##article.authors##

  • Rohit Bhattiprolu Bloomfield Hills High School

DOI:

https://doi.org/10.58445/rars.2226

Keywords:

quadcopters, control theory, PID, Mars

Abstract

With the increasing focus on human and robotic exploration of Mars, the development of extraterrestrial rotorcraft has accelerated. Inspired by the success and limitations of NASA's Ingenuity Helicopter, this research investigates closed-loop control strategies, specifically Proportional-Derivative (PD) control, for application in a hypothetical two-dimensional Martian quadcopter. First, the paper applies a PD control law to a basic spring-mass damper system. Then the paper models quadcopter dynamics and develops a PD controller to bring the quadcopter to a desired state. Using the MarsBird-VII quadcopter design as a baseline, this study employs simulations to compare quadcopter dynamics and different PD gains in both Earth and Martian environments. The results demonstrate the necessity for environment-specific tuning of control gains.

References

“Ingenuity Mars Helicopter - NASA Science.” NASA, science.nasa.gov/mission/mars2020-perseverance/ingenuity-mars-helicopter/.

Chiou, Lyndie, “NASA’s Plans for Next-Generation Mars Helicopters Are Up in the Air”,

Scientific American, May 8, 2024, https://www.scientificamerican.com/article/nasasplans-for-next-generation-mars-helicopters-are-up-in-the-air/

Wall, Mike, “'It's sort of been invincible until this moment:' Mars helicopter Ingenuity pilot

says 'bland' terrain may have doomed NASA chopper”, space.com, January 25, 2024.

https://www.space.com/ingenuity-mars-helicopter-doomed-bland-terrain

Wei, Erhu. Jin, Shuanggen. Zhang, Qi. Et al. “Autonomous navigation of Mars probe

using X-ray pulsars: Modeling and results”, Advances in Space Research, October 10,

https://www.sciencedirect.com/science/article/abs/pii/S027311771200659X

Yu, Zhengshi. Cui, Pingyuan. Crassidis, John L. “Design and Optimization of Navigation

and Guidance Techniques for Mars Pinpoint Landing: Review and Prospect”, Progress in

Aerospace Sciences, September, 2017.

https://www.sciencedirect.com/science/article/abs/pii/S0376042117301082

Lam, Johnny N. Bayard, David. Conway, Dylan T. et al. “Flight Control System For

NASA’s Mars Helicopter”, JPL dartslab, 2019.

https://arc.aiaa.org/doi/abs/10.2514/6.2019-1289

Forino, Francesca, “SPACE DRONES: Design and Control of UAVs for planetary

exploration”, Politecnico Di Torino, July, 2020. https://webthesis.biblio.polito.it/15163/

Michelson, Robert C. Naqvi, Messam A. “Extraterrestrial Flight (Entomopter-Based Mars

Surveyor)”, http://angel-strike.com/entomopter/MICHELSON-NAQVI-2.pdf

Kallstrom, Kristen. Weist, Lauren. Schatzman, Natasha. Et al. “PlanetarY Telemetric

Helicopter for Investigation and Analysis (PYTHIA): A Rotorcraft for Martian Lava Tube

Exploration”, NASA Ames Research Center. https://ntrs.nasa.gov/citations/20240001049

Kaijie Zhu, Qiquan Quan, Dewei Tang, Yachao Dong, Kaiyi Wang, Bo Tang, Qi Wu,

Zongquan Deng, “A Mars quadcopter capable of autonomous flight and sample

collection: Structure and avionics”, Acta Astronautica.

https://www.sciencedirect.com/science/article/abs/pii/S0094576523006033

Bayisa, Ayele, “Controlling Quadcopter Altitude using PID-Control System”, International

Journal of Engineering Research & Technology, December, 2019.

https://d1wqtxts1xzle7.cloudfront.net/61525657/controlling-quadcopter-altitude-using-pidcontrol-system-IJERTV8IS12011820191215-13489-rr4omclibre.pdf?1576481935=&response-contentdisposition=inline%3B+filename%3DIJERT_Controlling_Quadcopter_Altitude_us.pdf&Ex

pires=1737332788&Signature=Nmrp1ZtZ6vYJmCdhI4BJNoOIvI0HcBta6yIxOqHzsesbCp

lIaM6RD2M-igkQKXswX9lSi61SROPIc8uS7NPgo9stfgd6YYZy5Ovo2tuX7Vfd83ruuBQmeWfDnp01TZy

xPe458D-Ccpd~Z1DBtktbl1-

RZtpDhngKUwsTMZe1R3O1TYSZyg7TQbhyMeMhzj8fNdt0ZtzsHQ1PU8h8t1I1XX0HCwTmmoE30R4LOeDK5N49WLLrRU0ElslRVPsTFD0l-4AfFWbb~KZ~1Lcpi5m2gn77y9H9FsmfynbkXURg8gSYinXnkRhqV590pCita6VKxCim2waRYqaR

QGF7NQ__&Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA

Trentelman, H., Stoorvogel, A. A., & Hautus, M. (2002). Control theory for linear systems.

University of Groningen, Johann Bernoulli Institute for Mathematics and Computer

Science. https://asmedigitalcollection.asme.org/appliedmechanicsreviews/articleabstract/55/5/B87/463633/Control-Theory-for-Linear-Systems

Friedland, Bernard, “Control System Design: A Introduction to state-Space Models”,

Dover Publications, 1986. https://www.researchgate.net/profile/Hamid-Nasir2/publication/297838887_Stocking_and_stand_structure_of_Sungai_Kerang_mangroves

_in_matang_peninsular_Malaysia/links/5c05e070299bf169ae3049c0/Stocking-andstand-structure-of-Sungai-Kerang-mangroves-in-matang-peninsular-Malaysia.pdf

Chen, Guanrong, “Stability of Nonlinear Systems”, Department of Electronic Engineering

City University of Hong Kong Kowloon, December, 2004.

https://www.researchgate.net/profile/Guanrong-Chen3/publication/227980165_Stability_of_Nonlinear_Systems/links/5db1982fa6fdccc99d939f

d9/Stability-of-Nonlinear-Systems.pdf

Coursera, Robotics: Aerial Robotics. https://cookierobotics.com/052/

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Posted

2025-01-31

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