Hostname: page-component-6d856f89d9-mhpxw Total loading time: 0 Render date: 2024-07-16T04:57:28.313Z Has data issue: false hasContentIssue false

A folding wing system for guided ammunitions: mechanism design, manufacturing and real-time results with LQR, LQI, SMC and SOSMC

Published online by Cambridge University Press:  01 September 2023

A. Sayıl
Affiliation:
Department of Astronautical Engineering, Sivas University of Science and Technology, Sivas 58000, Türkiye
F. Erden*
Affiliation:
Department of Aeronautical Engineering, Sivas University of Science and Technology, Sivas 58000, Türkiye
A. Tüzün*
Affiliation:
Department of Mechatronic Systems, TUBITAK Defense Industries Research and Development Institute – SAGE, Ankara 06261, Türkiye
B. Baykara
Affiliation:
Department of Mechatronic Systems, TUBITAK Defense Industries Research and Development Institute – SAGE, Ankara 06261, Türkiye
M. Aydemir
Affiliation:
Department of Mechatronic Systems, TUBITAK Defense Industries Research and Development Institute – SAGE, Ankara 06261, Türkiye
*
Corresponding authors: F. Erden and A. Tüzün; Emails: [email protected]; [email protected]
Corresponding authors: F. Erden and A. Tüzün; Emails: [email protected]; [email protected]

Abstract

In the present work, a folding wing system (FWS) was developed for guided ammunitions, so that the swept-back angle could be adjusted during both gliding and diving phases. Unlike previous designs, the FWS does not have any fixing mechanisms or brake elements, and it provides folding functionality to reduce the drag force during the terminal phase. We conducted mechanism design, manufactured the FWS, performed system identification and designed various controllers including linear quadratic regulator (LQR), linear quadratic integrator (LQI), sliding mode control (SMC) and second-order sliding mode control (SOSMC) to adjust and hold the desired swept-back angles. Then, the performance of the FWS was tested experimentally under two different flight scenarios, with and without aerodynamic loads. While all controllers operated with almost zero steady-state error (SSE) in the absence of aerodynamic loads, the SOSMC was the most effective controller under aerodynamic loads, considering SSE, delay, chattering, and energy consumption.

Type
Research Article
Copyright
© The Author(s), 2023. Published by Cambridge University Press on behalf of Royal Aeronautical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Hallion, R.P. Precision Guided Munitions and the New Era of Warfare. Australia: Air Power Studies Centre, Royal Australian Air Force, 1997.Google Scholar
Maini, A.K. Precision Guided Munitions, in Handbook of Defence Electronics and Optronics: Fundamentals, Technologies and Systems. India: John Wiley & Sons Ltd., 2018, pp. 9331011.CrossRefGoogle Scholar
Lund, F. Evolution of navy air-to-surface guided weapons. In 41st Aerospace Sciences Meeting and Exhibit, Reno, Nevada, 2003, p 291.CrossRefGoogle Scholar
Sreeja, S. and Hablani, H. Precision munition guidance and estimation of target position in 2-D. In AIAA Guidance, Navigation, and Control Conference. American Institute of Aeronautics and Astronautics, Inc, San Diego, CA, USA, 2016, pp 1–19.CrossRefGoogle Scholar
Hoehn, J. and Ryder, S. Precision Guided Munitions Background and Issues for Congress: Congressional Research Service, 2020. https://apps.dtic.mil/sti/citations/AD1169867 Google Scholar
Kowaleczko, G. and Pietraszek, M. Estimation of the accuracy of laser guided bomb. J. KONES, 2016, 23, pp 271279.Google Scholar
Mouada, T., Pavic M.V., Pavkovic B.M. et al. Application of optimal control law to laser guided bomb. Aeronaut. J., 2018, 122, (1251), pp 785797.CrossRefGoogle Scholar
TÜBİTAK-SAGE. Precision Guidance Kit (HGK), (2022). http://www.sage.tubitak.gov.tr/tr/urunler/hassas-gudum-kiti-hgk Google Scholar
Boeing. Joint Direct Attack Munition Extended Range (JDAM-ER), (2022). https://www.ferra-group.com/capabilities/ research-development/ (accessed 26 March 2022).Google Scholar
TÜBİTAK-SAGE. Wing Assisted Guidance Kit (WGK), 2022). http://www.sage.tubitak.gov.tr/tr/urunler/kanatli-gudum- kiti-hgk Google Scholar
Boeing. Joint Direct Attack Munition Extended Range (JDAM-ER), (2022). https://www.ferra-group.com/capabilities/ research-development/ Google Scholar
Harris, G.L. and Levy, N.A. Device for Extending the Range of Guided Bombs, 2000, The United States Patent and Trademark Office US6152041A. https://patents.google.com/patent/US6152041A/en Google Scholar
Harris, G.L. Air Launched Munition Range Extension System and Method, 1992, The United States Patent and Trademark Office US5141175. https://patents.google.com/patent/US5141175A/en Google Scholar
Shmoldas, J.D., Hutchings, M.B. and Barlow, C.W. Extendable Wing for Guided Missiles and Munitions, 1997, The United States Patent and Trademark Office US5615846A. https://patents.google.com/patent/US5615846A/ en?oq=US+5%2c615%2c846 Google Scholar
Shai, M. Air Vehicle and Deployable Wing Arrangement Therefor, 2008. World Intellectual Property Organization WO2008010226A1. https://patents.google.com/patent/WO2008010226A1/en?oq=WO2008010226A1 Google Scholar
Qingsheng, L., et al. Wing Folding Mechanism Based on Flex-Wing Aircraft, 2014, China National Intellectual Property Administration CN103661919. https://patents.google.com/patent/CN103661919A/en Google Scholar
Bouchard, M.L., Gogineni P., Eisentraut R.A. et al. Winged Vehicle with Variable-Sweep Cantilevered Wing Mounted on a Translating Wing-Support Body, 2007, The United States Patent and Trademark Office US7185847B1. https://patents.google.com/patent/US7185847B1/en Google Scholar
Chen, Z. Spacecraft and Aerospace Plane Having Scissors Wings, 2004, The United States Patent and Trademark Office US6745979B1. https://patents.google.com/patent/US6745979B1/en?oq=US6745979 Google Scholar
Garrett, T.M. Aerodynamic Body Having Coplanar Joined Wings, 1999, The United States Patent and Trademark Office US5899410A. https://patents.google.com/patent/US5899410A/en?oq=us5%2c899%2c410 Google Scholar
Niemeyer, T., Schwies M.D., Naderhoff U. et al. Guide Assembly for a Missile, 2004, The United States Patent and Trademark Office US6758435B2. https://patents.google.com/patent/US6758435B2/en Google Scholar
Spanovich, J.P. Variable Alignment Mechanism, 1991, The United States Patent and Trademark Office US5671899. https://patents.google.com/patent/US5035378A/en Google Scholar
Wenzel, H.A. Multi-Winged Lifting Body Aircraft, 1979, The United States Patent and Trademark Office US4146199. https://patents.google.com/patent/US4146199A/en?oq=US4146199 Google Scholar
O’Shea, H. Aerial Vehicle with Variable Aspect Ratio Deployable Wings, 2010, The United States Patent and Trademark Office US7841559. https://patents.google.com/patent/US7841559B1/en Google Scholar
Zarchan, P. Tactical and Strategic Missile Guidance, 6th ed., Vol. 239. Virginia, USA: American Institute of Aeronautics and Astronautics, 2012.CrossRefGoogle Scholar
Shneydor, N.A. Missile Guidance and Pursuit: Kinematics, Dynamics and Control. West Sussex, England: Horwood Publishing Limited, 1998.CrossRefGoogle Scholar
Voskuijl, M. Performance analysis and design of loitering munitions: a comprehensive technical survey of recent developments. Def. Technol., 2022, 18, (3), pp 325343.CrossRefGoogle Scholar
Teope, K.I., Jensen D.L., Fortney E.M. et al. Reconfigurable internal weapons carriage system for small fighter aircraft. In 55th AIAA Aerospace Sciences Meeting. Grapevine, Texas, USA: AIAA, 2017, pp 1–11Google Scholar
Rogers, J. and Costello, M. Design of a roll-stabilized mortar projectile with reciprocating canards. J. Guid. Control Dyn., 2010, 33, pp 10261034.CrossRefGoogle Scholar
Myers, G.G. Folding Wing Structure with a Flexible Cover, 1993, The United States Patent and Trademark Office US5240203A. https://patents.google.com/patent/US5240203A/en Google Scholar
Svensson, N.B. Folding fins for Missiles, 1972, The United States Patent and Trademark Office US3650496. https://patents.google.com/patent/US3650496A/en Google Scholar
Vainshtein, A. and Bouhryakov, A. Wing Deployment Mechanism, 2017, The United States Patent and Trademark Office US9689650B2. https://patents.google.com/patent/US9689650B2/en Google Scholar
Rothenhofer, G., Walsh, C. and Slocum, A. Transmission ratio based analysis and robust design of mechanisms. Precis. Eng., 2010, 34, pp 790797.CrossRefGoogle Scholar
Uicker, J.J., Pennock G.R., Shigley J.E. et al. Theory of Machines and Mechanisms. Vol. 768. New York, USA: Oxford University Press, 2003.Google Scholar
Söylemez, E. Mechanisms, 5th ed. Ankara, TR: ODTÜ Yayınları, 2009.Google Scholar
Akgul, B., Erden, F. and Ozbay, S. Porous Cu/Al composites for cost-effective thermal management. Powder Technol., 2021, 391, pp 1119.CrossRefGoogle Scholar
Krishnan, R. Permanent Magnet Synchronous and Brushless DC Motor Drives. Florida, USA: CRC Press, 2017.CrossRefGoogle Scholar
Pindoriya, R.M., Pindoriya R., Mishra A., Rajpurohit B. et al. An analysis of vibration and acoustic noise of BLDC motor drive. In 2018 IEEE Power & Energy Society General Meeting (PESGM). Portland, OR, USA: IEEE, 2018, pp 1–5.CrossRefGoogle Scholar
Krishnan, T.V.D., Krishnan, C.M.C. and Vittal, K.P. Design of robust H-infinity speed controller for high performance BLDC servo drive. In 2017 International Conference on Smart grids, Power and Advanced Control Engineering (ICSPACE). Bangalore, India: IEEE, 2017, pp 37–42.CrossRefGoogle Scholar
Shanmugasundram, R., Zakariah, K.M. and Yadaiah, N. Implementation and performance analysis of digital controllers for brushless DC motor drives. IEEE/ASME Trans. Mechatron., 2012, 19, (1), pp 213224.CrossRefGoogle Scholar
Karnopp, D.C., Margolis, D.L. and Rosenberg, R.C. System Dynamics: Modeling, Simulation, and Control of Mechatronic Systems, 5th ed. Hoboken, New Jersey, USA: John Wiley & Sons, 2012.CrossRefGoogle Scholar
Soares, D. and Serpa, A.L. An evaluation of the influence of Eigensystem Realization Algorithm settings on multiple input multiple output system identification. J. Vib. Control, 2021, 0, (0), pp 116.Google Scholar
Vuojolainen, J., Nevaranta N., Jastrzebski R. et al. Comparison of excitation signals in active magnetic bearing system identification. Model. Identif. Control, 2017, pp 123133.CrossRefGoogle Scholar
Vermeulen, H.J., Strauss, J.M. and Shikoana, V. Online estimation of synchronous generator parameters using PRBS perturbations. IEEE Trans. Power Syst., 2002, 17, (3), pp 694700.CrossRefGoogle Scholar
Bnhamdoon, A., Hanif, M. and Akmeliawati, R. Identification of a quadcopter autopilot system via Box–Jenkins structure. Int. J. Dyn. Control, 2020, 8, pp 835850.CrossRefGoogle Scholar
Guarin, D.L. and Kearney, R.E. Identification of a time-varying, Box-Jenkins model of intrinsic joint compliance. IEEE Trans. Neural Syst. Rehabil. Eng., 2017, 25, pp 12111220.CrossRefGoogle ScholarPubMed
Forssell, U. and Ljung, L. Identification of unstable systems using output error and Box-Jenkins model structures. In Proceedings of the 37th IEEE Conference on Decision and Control. Tampa, FL, USA: IEEE, 1998, pp 3932–3927.Google Scholar
Schoukens, J., Rolain Y., Vandersteen G. et al. User friendly Box-Jenkins identification using nonparametric noise models. In Proceedings of the IEEE Conference on Decision and Control. Institute of Electrical and Electronics Engineers, Orlando, FL, USA, 2011, pp 2148–2153.Google Scholar
Ljung, L. System Identification Toolbox: User’s Guide. Natick, Massachusetts, USA: MathWorks Incorporated, 1995.Google Scholar
Khalfi, J., Boumaaz N., Soulmani A. et al. Box–Jenkins Black-Box modeling of a lithium-ion battery cell based on automotive drive cycle data. World Electr. Veh. J., 2021, 12, (3), p 102.CrossRefGoogle Scholar
Tangirala, A.K. Principles of System Identification: Theory and Practice. Boca Raton, Florida, USA: CRC Press, 2015.Google Scholar
Shehzad, M.F., Bilal, A. and Ahmad, H. Position & attitude control of an aerial robot (Quadrotor) with intelligent PID and state feedback LQR controller: a comparative approach. In 2019 16th International Bhurban Conference on Applied Sciences and Technology (IBCAST). Institute of Electrical and Electronics Engineers, Islamabad, Pakistan, 2019, pp 340–346.CrossRefGoogle Scholar
Kisszölgyémi, I., Beneda, K. and Faltin, Z. Linear quadratic integral (LQI) control for a small scale turbojet engine with variable exhaust nozzle. In 2017 International Conference on Military Technologies (ICMT). Institute of Electrical and Electronics Engineers, Brno, Czech Republic, 2017, pp 507–513CrossRefGoogle Scholar
Seto, K., Fuji D., Hiramathu H. et al. Motion and vibration control of three dimensional flexible shaking table using LQI control approach. In Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301). Institute of Electrical and Electronics Engineers, Anchorage, AK, USA, 2002, pp 3040–3045.Google Scholar
Altun, Y. Çeyrek taşıt aktif süspansiyon sistemi için LQR ve LQI denetleyicilerinin karşılaştırılması. Gazi Üniversitesi Fen Bilimleri Dergisi Part C: Tasarım ve Teknoloji, 2017, 5, (3), pp 6170.Google Scholar
Young, K.D., Utkin, V. and Özgüner, Ü. A control engineer’s guide to sliding mode control. IEEE Trans. Control Syst. Technol., 1999, 7, pp 32342.CrossRefGoogle Scholar
Liu, S., Yan B., Zhang T. et al. Three-dimensional cooperative guidance law for intercepting hypersonic targets. Aerosp. Sci. Technol., 2022, 129, p 107815.CrossRefGoogle Scholar
Lee, H. and Utkin, V. Chattering suppression methods in sliding mode control systems. Annu. Rev. Control, 2007, 31, (2), pp 179188.Google Scholar
He, S. and Lin, D. Sliding mode-based continuous guidance law with terminal angle constraint. Aeronaut. J., 2016, 120, (1229), pp 11751195.CrossRefGoogle Scholar
Utkin, V. Sliding Modes in Control and Optimization. Berlin, DE: Springer, 1992.CrossRefGoogle Scholar
Mondal, S. and Mahanta, C. Nonlinear sliding surface based second order sliding mode controller for uncertain linear systems. Commun. Nonlinear Sci. Numer. Simulat., 2011, 16, pp 37603769.Google Scholar
Bartolini, G., Ferrara, A. and Usai, E. Chattering avoidance by second-order sliding mode control. IEEE Trans. Automat. Control, 1998, 43, (2), pp 241246.CrossRefGoogle Scholar
Liu, S., Wang Y., Li Y. et al. Cooperative guidance for active defence based on line-of-sight constraint under a low-speed ratio. Aeronaut. J., 2023, 127, (1309), pp 491509.CrossRefGoogle Scholar
Eker, İ. Sliding mode control with PID sliding surface and experimental application to an electromechanical plant. ISA Trans., 2006, 45, pp 109118.CrossRefGoogle Scholar
Slotine, J.-J.E. and Li, W. Applied Nonlinear Control, Vol. 199. NJ, USA: Prentice Hall, 1991.Google Scholar
Eker, I. Second-order sliding mode control with experimental application. ISA Trans., 2010, 49, (3), pp. 394405.CrossRefGoogle ScholarPubMed
Fei, J. A class of adaptive sliding mode controller with integral sliding surface. In 2009 International Conference on Mechatronics and Automation. Changchun, Jilin, China: IEEE, 2009, pp 1156–1161.CrossRefGoogle Scholar
Saeed, Z. and Soltanpour, M.R. The position control of the ball and beam system using state-disturbance observe-based adaptive fuzzy sliding mode control in presence of matched and mismatched uncertainties. Mech. Syst. Signal Process., 2021, 150, p. 107243.Google Scholar
Capisani, L.M., Ferrara, A. and Magnani, L. Design and experimental validation of a second-order sliding-mode motion controller for robot manipulators. Int. J. Control, 2009, 82, (2), pp 365377.CrossRefGoogle Scholar
Camacho, O., Rojas, R. and García-Gabín, W. Some long time delay sliding mode control approaches. ISA Trans., 2007, 46, (1), pp 95101.CrossRefGoogle ScholarPubMed
Yorgancıoğlu, F. and Kömürcügil, H. Single-input fuzzy-like moving sliding surface approach to the sliding mode control. Electric. Eng., 2008, 90, (3), pp 199207.CrossRefGoogle Scholar
Sharma, S. and Agarwal, K.L. Intelligent Energy Management Technologies, Uddin, M.S., et al., Editors. Singapore: Springer, 2021, pp 343355.Google Scholar
Bartolini, G., Pisano A., Punta E. et al. A survey of applications of second-order sliding mode control to mechanical systems. Int. J. Control, 2003, 76, (9–10), pp 875892.Google Scholar
Edwards, C. and Spurgeon, S. Sliding Mode Control: Theory and Applications. Padstow, UK: CRC Press, 1998.CrossRefGoogle Scholar
Utkin, V. Variable structure systems with sliding modes. IEEE Trans. Automat. Control, 1977, 22, (2), pp 212222.CrossRefGoogle Scholar