A SYNTHETIC PID GAIN TUNING FRAMEWORK FOR ROBUST PITCH ATTITUDE CONTROL OF SLENDER AIRFRAMES

Authors

  • T. A. Fashanu Department of Systems Engineering, University of Lagos, Nigeria.
  • L. M. Adetoro National Agency for Space Research and Development, FCT Abuja, Nigeria.
  • A. A. Ayorinde Department of Electrical and Electronics Engineering, University of Lagos, Nigeria.
  • O. S. Asaolu Department of Systems Engineering, University of Lagos, Nigeria.
  • M. A. Ogundero Department of Systems Engineering, University of Lagos, Nigeria.

DOI:

https://doi.org/10.4314/njt.v43i3.13

Keywords:

Airframe Vibrations, Algorithm Development, PID Gains Auto-tuning, Hybrid Simulation Rig, Slender Microsatellite Launch Vehicles

Abstract

The need to decentralize microsatellite launch missions, as a result of rapid expansion of space technology has led to the emergence of slender (microsatellite) launch vehicles (SLV). However, navigation cost, in terms of onboard equipment, state estimation and control algorithms presently prohibits microsatellite launch vehicle missions. Thus, to realize mission affordability of slender launch vehicles, this work developed a Hardware In the Loop rig for optimizing hardware cost and maximizing the performance of implemented state estimation and control algorithms on slender launch vehicles navigation systems. Apriori, the National Agency for Space Research and Development Agency scaled the characteristics of NASA's Ares I Rocket launcher to obtain a miniaturized slender launch vehicle. This prototype is interfaced with MATLAB’s SIMULIINK environment to build an experimental rig for autopilot simulation to realize affordable navigation systems on slender launch vehicles. In the feedback control loop of the simulated autopilot system, the proportional, integral and derivative control gains of the simulated autopilot were initialized by classical control laws; this seamlessly transits to a smart fuzzy logic based gain selection algorithm within the rise time of the system’s response. This smartly filters nonlinear structural vibration noise from the state estimation system, as well as proactively selects the proportional, integral and derivative gains of the autopilot system. Inference from the flight data sheet established rigorous coupling between structural and control hardware dynamics. Thus, to demonstrate structural interference cancellation, and improve on the auto-tuning ability of the semi- intelligent pitch attitude control algorithm; a pre-planned rocket trajectory of 700m altitude and 15 seconds flight duration was modelled for adaptive tracking such that the desired control objectives are realised. In profile, the realized trajectory indicated that dynamic interaction between rocket structure and control hardware was effectively attenuated. In-flight, the recorded maximum deviation from the referenced trajectory is 0.16% (overshoot). This transient error is mostly due to unmodelled wind induced structural excitation.

References

[1] National Security Technology Accelerator, “Reducing the Cost of Space Travel with Reusable Launch Vehicles,” https://nstxl.o rg/reducing-the-cost-of-space-travel-with-reusable-launch-vehicles, 2024.

[2] M. Trikha, M. D. Roy, S. Gopalakrishnan and R. Pandiyan, “Structural stability of slender aerospace vehicles: Part II: Num-erical simulations,” International Journal of Mechanical Sciences, vol. 52, no. 9, pp. 1145-1157, 2010.

[3] A. L. Greensite, Analysis and Design of Space Vehicle Flight Control Systems, vol. VII, General Dynamics Corporation, 1967.

[4] S. Khadem and J. Euler, “Dynamic stability of flexible spinning missiles. II-Vibration and stability analysis of a structurally damped controlled free-free Bernoulli-Euler beam, as a model for flexible missiles.,” in 33rd Structures, Structural Dynamics and Materials Conference, 1992.

[5] H. D. Choi and H. and Bang, “An adaptive control approach to the attitude control of a flexible rocket,” Control engineering practice, vol. 9, no. 8, pp. 1003-1010, 2000.

[6] W. Du, Dynamic modeling and ascent flight control of Ares-I Crew Launch Vehicle, Ames, Iowa: Iowa State University ProQuest Dissertations Publishing, 2010, p. 24.

[7] L. Minjiao, R. Xiaoting and K. A. Laith, “Elastic Dynamic Effects on the Trajectory of a Flexible Launch Vehicle,” Journal of Spacecraft and Rockets, vol. 52, no. 6, 2015.

[8] G. Kerschen, M. Peeters, J. C. Golinval and C. Stéphan, “Nonlinear modal analysis of a full-scale aircraft,” Journal of Aircraft, vol. 50, no. 5, pp. 1409-1419, 2013.

[9] M. R. Eressa, Z. Danchen and H. Min, “PID and neural net controller performance comparsion in UAV pitch attitude control,” in 2016 IEEE International Conference on Systems, Man, and Cybernetics (SMC), Budapest, Hungary, 2016.

[10] J. Jiann-Woei, A. Abran, H. Robert, B. Nazerth, H. Charles, R. Stephen and J. Mark, “Ares I Flight Control System Design,” in AIAA Guidance, Navigation, and Control Conference, Toronto, Ontario Canada, 2010.

[11] T. A. Fashanu, L. M. Adetoro, O. S. Asaolu and A. A. Ayorinde, “A Cross Reference Analysis of Adaptive Piezoelectric Actuator Reinforced Slender Airframes for Microsatellite Launch Vehicles,” Journal of Engineering Research, vol. 27, no. 3, pp. 11-25, 2022.

[12] Y. Zhu, X. Huang, W. Fang and S. Li, “Trajectory Planning Algorithm Based on Quaternion for 6-DOF Aircraft Wing Automatic Position and Pose Adjustment Method,” Chinese Journal of Aeronautics, vol. 23, no. 6, pp. 707-714, 2010.

[13] N. V. Kadam, “Practical Design of Flight Control Systems: Some Problems and Their Solutions,” Defence Science Journal, vol. 55, no. 3, pp. 211 – 221, 2005.

[14] B. Maurizio, “VEGA Missionization and Post Flight Analyses,” 2009.

[15] O. Ibidapo-Obe and A. B. Sofoluwe, “A note on stability of some parametrically excited structural elastic systems,” Applied Mathematical Modelling, vol. 6, no. 3, pp. 202-204, 1982.

[16] X. Yu, Y. Fu and Y. Zhang, “Aircraft Fault Accommodation With Consideration of Actuator Control Authority and Gyro Availability,” IEEE Transactions on Control Systems Technology, vol. 26, no. 4, pp. 1285-1299, 2018.

[17] R. K. Kincaid and P. Sharon L, “D-optimal designs for sensor and actuator locations,” Computers and Operations Research, vol. 29, no. 6, pp. 701-713, 2002.

[18] Y. Bar-Shalom, X. Li, T. Kirubarajan, “Estimation with Applications to Tracking and Navigation: Theory, Algorithms and Software: State Estimation for Nonlinear Dynamic Systems” John Wiley and Sons, Inc. pp. 371-420, 2002.

[19] D. B. Ralph, D. T. Justin, C. R. Mercedes, G. H. Lucas, L. G. James, A. B. Paul, A. P. Russell and R. L. Daniel, “Ares I-X Launch Vehicle Modal Test Overview,” in Society for Experimental Mechanics Series, New York, 2011.

Downloads

Published

2024-09-20

Issue

Section

Computer, Telecommunications, Software, Electrical & Electronics Engineering

How to Cite

A SYNTHETIC PID GAIN TUNING FRAMEWORK FOR ROBUST PITCH ATTITUDE CONTROL OF SLENDER AIRFRAMES. (2024). Nigerian Journal of Technology, 43(3). https://doi.org/10.4314/njt.v43i3.13