The flight dynamics are non linear, time invariant and uncertain, hence the flight dynamics are linearized at some flight conditions and thus flight control systems are designed by using these linearized mathematical models. These linearized mathematical models can be controlled by using nonlinear controllers. The principal objective of this paper is to design a Swarm Optimized Proportional Integral Derivative (PID) controller for a non linear pitch control system to obtain the desired pitch angle as commanded by the pilot while manoeuvring a Delta Aircraft (four engine very large cargo jet aircraft). Here the Bacterial Foraging Optimization is applied as offline to optimize the PID controller. A fine tuned PID controller (particle Swarm Optimization based) i.e. PSOPID and a neural controller are designed to compare and establish the superiority of our proposed system. It is further established that BFOPID controller provides better performance in comparison with Radial Basis function Neural Controller (RBFNC) and PSOPID controller in terms of early settling time and overshoot.
PID Controller, BFOPID, PSOPID, RBFNC, Pitch Control System, Non linear controller
 R.C. Nelson, Flight Stability and Automatic Control, McGraw Hill, Second Edition,1998
 M. Myint, H.K. Oo, Z.M. Naing and Y.M Myint, PID Controller for Stability of Piper Cherokee's Pitch Displacement using MATLAB, International Conference on Sustainable Development: Issues and prospects for the GMS, China, 2008.
 M. H. Sadraey Aircraft Design: A Systems Engineering Approach, Wiley, 2012.
 M. Asif Khan and Ping Lu. New technique for nonlinear control of aircraft, Journal of Guidance Control and Dynamics, Vol. 17, No. 5, pp. 1055-1060,1994
 L. R. Hunt, G. Meyer and R. Su, Nonlinear control of aircraft, Lecture Notes in Control and Information Sciences Mathematical Theory of Networks and Systems, Vol. 58, 1984, pp. 463-472.
 J. Wang and N. Sundararajan, A nonlinear flight controller design for aircraft, Control Engineering Practice, Vol. 3, No.6, pp. 813– 825, 1995.
 X. Wang, R. Xie and Yan Li, Nonlinear Controller Design for a Super maneuverable Aircraft, International Joint Conference on Computational Sciences and Optimization, CSO 2009, Vol. 1, pp. 318-322, 24-26 April 2009.
 J. Karl Hedrick and S. Gopalswamy , Nonlinear flight control design via sliding methods, Journal of Guidance, Control, and Dynamics, Vol. 13, No. 5 , pp. 850-858,1990.
 M. Zugaj and J.Narkiewicz, Autopilot Supported by Nonlinear Model Following Reconfigurable Flight Control System, J. Aerosp. Eng, Vol.23, No.4, pp.339–347, 2010.
 P.S Khuntia and D.Mitra, Radial Basic Function Neural Controller for Pitch Control of an Aircraft, Georgian Electronic Scientific Journal: Computer Science and Telecommunications, Vol.19, No.2, 2009.
 N. Wahid and N. Hassan, Self-Tuning Fuzzy PID Controller Design for Aircraft Pitch Control,Third International Conference on Intelligent Systems, Modeling and Simulation (ISMS),pp. 19 – 24, 8-10 Feb,2012.
 R.A. Nichols, R.T. Reichert and W.J Rugh, Gain scheduling for H-infinity controllers: a flight control example, IEEE Transactions on Control Systems Technology, vol.-pp. 69-79, No.2, 1993.
 P.S Khuntia and D.Mitra, “Optimally Convex Controller and Model Reduction for Dynamic System”, Electrotechnics, Electronics, Automatic Control, Informatic The Annals Of “Dunarea De Jos” University Of Galati Fascicle III, Vol.31, No.1,pp-35-42,2002.
 J. Kennedy and R. C. Eberhart, Particle Swarm Optimization, IEEE Int. Conf. on Neural Networks. Piscataway, NJ: IEEE Service Center, pp.1942–1948, 1995.
 K.M. Passino, Biomimicry for Optimization, Control, and Automation, London, UK: Springer-Verlag, 1990.
 K.M.Passino, Bacterial Foraging Optimization, Int. J. Swarm Intelligence Research, Vol.1, No. 1, pp. 1-16, 2010.
 K.M.Passino ,Biomimicry of Bacterial Foraging for Distributed Optimization and Control, IEEE Control Systems Magazine, Vol. 22, No. 3, pp. 52-67, 2002.
 D. H. Kim, A. Abraham, and J. H. Cho, A hybrid Genetic Algorithm and Bacterial Foraging Approach for Global Optimization, Inf. Sci, vol. 177, no. 18, pp. 3918–3937, 2007.
 W.M. Korani, H.T. Dorrah, and H.M. Emara, Bacterial Foraging Oriented by Particle Swarm Optimization Strategy for PID Tuning, IEEE International Symposium on Computational Intelli-gence in Robotics and Automation (CIRA), Daejeon, 2009, pp.445 – 450.
 D.McLean, Automatic Flight Control System, Frome: Prentice Hall, 1990.
 M.Bech and L.Smitt, Analogues simulation of ship maneuvers, Technical report, Hydro-og Aerod-ynmisk Laboratorium, Lyngby, Denmark,1969.
 K.Ogata, Modern Control Systems, 5th ed. USA: PHI, 2010.
 D. S. Broomhead and D. Lowe, Radial basis functions, multi-variable functional interpolation and adaptive networks (Technical report). RSRE. 4148,1988.
Cite this paper
C.S. Mohanty, P.S. Khuntia, D. Mitra. (2017) Swarm Optimized Pitch Angle Controller for an Aircraft. International Journal of Mathematical and Computational Methods, 2, 419-428
Copyright © 2017 Author(s) retain the copyright of this article.
This article is published under the terms of the Creative Commons Attribution License 4.0