Stochastical and Simultaneous Design of Mini Unmanned Helicopter Blade Taper and Its AFCS

Erdal Yeşilbaş

doi:10.30518/jav.1917228

Stochastical and Simultaneous Design of Mini Unmanned Helicopter Blade Taper and Its AFCS

Abstract

In this article, it is aimed to minimize cost of automatic flight control system (i.e., AFCS) for a mini unmanned helicopter (MUH) by simultaneously and stochastically redesigning main rotor blades’ taper and PID gains of the AFCS. For minimization of autonomous flight cost index (AFCI) stochastical and simultaneous design approach is used over certain parameters (i.e., blade taper and gains of longitudinal and lateral PID controllers) while there are lower and upper constraints on these design parameters. A MUH is produced in Erciyes University Drone Laboratory (i.e., ERUDL) and called as Erciyes-Qtar-MUH. Its main rotor blades’ taper ratio can change before flight. AFCS parameters and main rotor redesign parameter previously mentioned are stochastically and simultaneously designed for minimization of AFCI that captures rise time, settling time and overshoot of relevant trajectory trackings by using a certain stochastical optimization tool (i.e., simultaneous perturbation stochastical approximation: SPSA). Eventual results are used for making simulations of MUH. Via using simultaneous and stochastical redesign of passively morphing main rotor blade taper having MUH (i.e., Erciyes-Qtar-MUH) over previously mentioned redesign variables, a best MUH autonomous flight performance and a minimum AFCI are found. Simultaneous and stochastical redesign of passively morphing main rotor taper having MUH and its AFCS notion is honestly valuable for minimizing AFCS and maximizing autonomous flight performance any MUH. Composing an original notion for recovering AFCI of a MUH and contributing a new procedure performing simultaneous and stochastical redesign of a MUH having passively morphing main rotor taper and its AFCS strategy meanwhile existence of upper and lower constraints on design variables are main novelties of this research paper. Substantial progress for MUH AFCI save almost %38 with regard to the original MUH is found in this research paper.

Keywords

References

Achaudhary, A. and Bhushan, B. (2023). An improved teaching learning based optimization method to enrich the flight control of a helicopter system. Sadhana Journal, 48(222).
Austin, R. (2010). Unmanned aircraft systems. Wiley.
Basri, M. A. M. (2017). Trajectory tracking control of autonomous quadrotor helicopter using robust neural adaptive backstepping approach. Journal of Aerospace Engineering, 31(2).
Bento, M. F. (2008). Unmanned Aerial Vehicles: An overview. Working papers, InsideGNSS, www.insidegnss.com
Cai, G., Chen, B. M. and Lee, T. H. (2011). Unmanned rotorcraft systems. Advances in Industrial Control, Springer.
Dharmayanda, H. R., Budiyono, A. and Kang, T. (2010). State-space identification and implementation of H∞ control design for small-scale helicopter. Aircraft Engineering and Aerospace Technology, 82(6): 340-352.
Ganguli, R. (2002) Optimum design of a helicopter rotor for low vibration using aeroelastic analysis and response surface methods. Journal of Sound and Vibration, 258(2): 327–344.
Grigoriadis, K. M., Carpenter, M. J., Zhu, G., and Skelton, R. E. (1993). Optimal redesign of linear systems. Proceedings of the American Control Conference, San Francisco, CA.

Grigoriadis, K. M., Zhu, G., and Skelton, R. E. (1996). Optimal Redesign of Linear Systems. Journal of Dynamic Systems, Measurement and Control, 118 (3), 598–605.
Grigoriadis, K. and Skelton, R. E. (1996). Minimum-energy covariance controllers. Automatica, 3(4), 569-578.
He, Y., Fu, M. C., Marcus, S. I. (2003). Convergence of simultaneous perturbation stochastic approximation for non-differentiable optimization. IEEE Transactions on Aerospace and Electronic Systems, 48(8):1459-1463.
Kambampati, S. and Ganguli, R. (2016). Nonrotating beams isospectral to tapered rotating beams. AIAA Journal, 54(2): 750–757.
Leishman, J. G. (2006). Principles of helicopter aerodynamics. Cambridge University Press.
Oktay, T. and Sultan, C. (2013). Simultaneous helicopter and control system design. Journal of Aircraft, 50(3), 206-222.
Oktay, T. and Sal, F. (2015). Helicopter control energy reduction using moving horizontal tail. The Scientific World Journal: Aerospace Engineering.
Oktay, T. and Sal, F. (2017). Effect of the simultaneous variation in blade root chord length and blade taper on helicopter flight control effort. International Journal of Aerospace Engineering.
Oktay, T. and Sultan, C. (2014). Flight control energy saving via helicopter rotor active morphing. AIAA Journal of Aircraft, 51(6): 1784-1805.
Oktay, T. (2012). Constrained control of complex helicopter models. Virginia Tech, PhD Dissertation, https://vtechworks.lib.vt.edu/items/e10a0b02-32f4-4dc9-8587-a85839e5ef7b.
Oktay, T. and Sal, F. (2016). Combined passive and active helicopter main rotor morphing for helicopter energy save. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 38: 1511-1525.
Özdemir, Ö. and Kaya, M. O. (2006). Flapwise bending vibration analysis of a rotating tapered cantilever Bernoulli–Euler beam by differential transform method. Journal of Sound and Vibration, 289(1-2): 413–420.
Özdemir, Ö. and Kaya, M. O. (2007). Energy expressions and free vibration analysis of a rotating double tapered Timoshenko beam featuring bending–torsion coupling. International Journal of Engineering Science, 45(2–8), 562–586.
Padfield, G. D. (2007). Helicopter flight dynamics. AIAA Education Series.
Sadegh, P. and Spall, J. C. (1998). Optimal random perturbations for multivariable stochastic approximation using a simultaneous perturbation gradient approximation. IEEE Transactions on Automatic Control, 43(10):1480-1484.
Sahasrabudhe, V., Tischler, M., Cheng, R., Stumm, A., and Lavin, M. (2007). Balancing CH-53K handling qualities and stability margin requirements in the presence of heavy external loads. Proceedings of the American Helicopter Society 63rd Forum, Virginia Beach, VA, USA.
Sal, F. (2020). Effects of the actively morphing root chord and taper on helicopter energy. Aircraft Engineering and Aerospace Technology, 92(2):264-270.
Sal, F. (2023). Simultaneous swept anhedral helicopter blade tip shape and control-system design. Aircraft Engineering and Aerospace Technology, 95(1): 101-112.
Sherry, J. (1953). Helicopter stabilizer. U.S. Patent 2,630,985, March 10.
Song, Q., Spall, J. C., and Soh, Y. C. (2008). Robust neural network tracking controller using simultaneous perturbation stochastic approximation. IEEE Transactions on Neural Networks, 19(5):817-835.
Stuart, J. (1961). Horizontal tail plane for helicopters. U.S. Patent 2,979,286.
Valavanis, K. (2007). Advances in unmanned aerial vehicles: State of the art and the road to autonomy, ser. Microprocessor-based and intelligent systems engineering. Springer-Verlag, Berlin.
Vu, N. A., Lee, J. W., and Shu, J. I. (2013). Aerodynamic design optimization of helicopter rotor blades including airfoil shape for hover performance. Chinese Journal of Aeronautics, 26(1): 1–8.

Details

Primary Language

English

Subjects

Air-Space Transportation, Avionics, Aircraft Performance and Flight Control Systems, Flight Dynamics

Journal Section

Research Article

Authors

Erdal Yeşilbaş ^*
0000-0001-9510-2023
Türkiye

Early Pub Date

May 30, 2026

Publication Date

June 27, 2026

Submission Date

March 27, 2026

Acceptance Date

May 19, 2026

Published in Issue

Year 2026 Volume: 10 Number: 2

DOI

https://doi.org/10.30518/jav.1917228

IZ

https://izlik.org/JA72AR43YA

Cite

RIS / Bibtex

APA

Yeşilbaş, E. (2026). Stochastical and Simultaneous Design of Mini Unmanned Helicopter Blade Taper and Its AFCS. Journal of Aviation, 10(2), 228-234. https://doi.org/10.30518/jav.1917228

AMA

1.Yeşilbaş E. Stochastical and Simultaneous Design of Mini Unmanned Helicopter Blade Taper and Its AFCS. JAV. 2026;10(2):228-234. doi:10.30518/jav.1917228

Chicago

Yeşilbaş, Erdal. 2026. “Stochastical and Simultaneous Design of Mini Unmanned Helicopter Blade Taper and Its AFCS”. Journal of Aviation 10 (2): 228-34. https://doi.org/10.30518/jav.1917228.

EndNote

Yeşilbaş E (June 1, 2026) Stochastical and Simultaneous Design of Mini Unmanned Helicopter Blade Taper and Its AFCS. Journal of Aviation 10 2 228–234.

IEEE

[1]E. Yeşilbaş, “Stochastical and Simultaneous Design of Mini Unmanned Helicopter Blade Taper and Its AFCS”, JAV, vol. 10, no. 2, pp. 228–234, June 2026, doi: 10.30518/jav.1917228.

ISNAD

Yeşilbaş, Erdal. “Stochastical and Simultaneous Design of Mini Unmanned Helicopter Blade Taper and Its AFCS”. Journal of Aviation 10/2 (June 1, 2026): 228-234. https://doi.org/10.30518/jav.1917228.

JAMA

1.Yeşilbaş E. Stochastical and Simultaneous Design of Mini Unmanned Helicopter Blade Taper and Its AFCS. JAV. 2026;10:228–234.

MLA

Yeşilbaş, Erdal. “Stochastical and Simultaneous Design of Mini Unmanned Helicopter Blade Taper and Its AFCS”. Journal of Aviation, vol. 10, no. 2, June 2026, pp. 228-34, doi:10.30518/jav.1917228.

Vancouver

1.Erdal Yeşilbaş. Stochastical and Simultaneous Design of Mini Unmanned Helicopter Blade Taper and Its AFCS. JAV. 2026 Jun. 1;10(2):228-34. doi:10.30518/jav.1917228