Abstract
When a sounding rocket rolls about its longitudinal axis, the role of angle of attack and sideslip angle exchange regularly. This interchange causes the aerodynamic moments to alternate between pitching and yawing moments, which, coupled with the moment of inertia effects, further aggravates the inertial cross-coupling. In this paper, first we analyze the cross-coupling phenomena and derive a Linear, Time-Invariant (LTI), multi input — multi output model of a spinning sounding rocket and then we design an autopilot for this system. An application of multivariable control technique is presented to the design of the autopilot. The involved controller is advanced by combining Eigenstructure Assignment (EA) approach with the Particle Swarm Optimization (PSO) algorithm. Results of linear and nonlinear simulations are reported to demonstrate the performance and stability margin of the considered autopilot.
Similar content being viewed by others
References
B.-C. Sun, J.-H. Ryu, and J.-H. Ryu, “Robust control design for spinning rocket,” Proc. of the 35th SICE Annual Conference, Japan, Tottori, pp. 1325–1330, 1996.
R. Kristiansen, T. R. Krogstad, P. J. Nicklasson, and J. T. Gravdahl, “Spacecraft coordination control using PID backstepping,” Proc. of the 17th IFAC Symposium on Automatic Control in Aerospace, Toulouse, 2007.
H. Zhang, F.-X. Li, and Y. Fan, “Design of vertical launch control system for antiaircraft missile using optical control,” Proc. of the IEEE Conference on Measuring Technology and Mechatronics Automation, pp. 1068–1071, 2010.
A. R. Mehrabian and J. Roshanian, “Skid-to-turn missile autopilot design using scheduled eigenstructure assignment technique,” Proc. of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, vol. 220, no. 3, pp. 225–239, 2006.
L. Bruyèere, T. Tsourdos, and A. White, “Polynomial eigenstructure assignment, application to missile autopilot,” Proc. of the IEEE Conference on Control Applications, Toronto, Canada, pp. 1355–1360, 2005.
L. C. Jones, “Missile autopilot controller design using state transformations and optimal LQR techniques,” Trans. of the Institute of Measurement and Control, vol. 18, no. 2, p. 99, 1996.
R. J. Patton and G. P. Liu, Eigenstructure Assignment for Control System Design, John Wiley & Sons, Inc, 1998.
J. J. D’Azzo and C. H. Houpis, Linear Control System Analysis and Design, New York, McGraw-Hill, 1998.
B. Karimi, M. Lotfi-Forushani, and I. Saboori, “Multivariable controller design for aircraft longitudinal autopilot based on particle swarm optimization algorithm,” Proc. of the International Conference on Computational Intelligence for Measurement Systems and Applications, pp. 1–6, 2011.
C.-K. Lin and S.-D. Wang, “An adaptive H∞ controller design for bank-to-turn missiles using ridge Gaussian neural networks,” IEEE Trans. on Neural Networks, vol. 15, no. 6, pp. 1507–1516, 2004.
B. Porter and S. S. Mohamed, “Genetic design of multivariable flight-control systems using eigenstructure assignment,” Proc. of the First IEEE Regional Conference on Aerospace Control Systems, pp. 435–439, 1994.
A. Douik, H. Liouane, and M. Hassani, “Optimized eigenstructure assignment by ANT system and LQR approach,” International Journal of Computer Science and Applications, vol. 5, no. 4, pp. 45–56, 2008.
J. H. Blakelock, Automatic Control of Aircraft and Missiles, John Wiley & Sons, Inc, 1991.
H. H. Rosenbrock, Computer-aided Control System Design, Academic Press, New York, NY, 1974.
S. S. Chughtai and H. Wang, “A high-integrity multivariable robust control with application to a process control rig,” IEEE Trans. on Control Systems Technology, vol. 15, no. 4, pp. 775–785, 2007.
B. Labibi, H. J. Marquez, and T. Chen, “Diagonal dominance via eigenstructure assignment,” International Journal of Control, vol. 79, no. 7, pp. 707–718, 2006.
S. Skogestad and I. Postlethwaite, Multivariable Feedback Control, John Wiley & Sons, 2nd edition, 2005.
J. Kennedy and R. Eberhart, “Particle swarm optimization,” Proc. of the IEEE International Conference on Neural Networks, vol. 4, pp. 1942–1948, 1995.
Author information
Authors and Affiliations
Corresponding author
Additional information
Recommended by Associate Editor Young Jae Lee under the direction of Editor Myotaeg Lim.
Saeed Mohammadloo received his M.S. degree in Electrical Engineering with specializing in Control Engineering from Malek Ashtar University of Technology, Tehran, Iran in 2010 and his B.S (2006) and Associate (2004) degrees in Electrical Engineering from Enghelab Islami Technical College and University of Tabriz, respectively. He has joined with Young Researchers and Elite Club of Islamic Azad University since October, 2011. Mr. Mohammadloo has authored more than 10 articles which are presented and published in international conferences and journals. His research interests include Aerospace Systems, Data Fusion, Intelligent Control and Multivariable Control. Currently, he works on Vision-Aided Navigation algorithms.
Mohammad Hosein Alizadeh was born on August 29, 1978 at Khalkhal, Iran. He received his BSEE from Shahroud Technological University at Shahroud, Iran, and MSEE specializing in Control Engineering from Tarbiat Modarres University (TMU) at Tehran, Iran, in 2000 and 2002, respectively. Since 2009 he has been a consultant for Roshan Ofog Asr Company located at Tehran, Iran.
Mahdi Jafari received his Ph.D. in Aerospace Engineering from K. N. Toosi University of Technology, Tehran, Iran and his M.S and B.S degrees from this university in Control Engineering and Power Engineering, in 2013, 1996, and 1994, respectively. Currently, he works in Space Systems Design Institute in K. N. Toosi University of Technology. Power systems, control and stability are his main research interests.
Rights and permissions
About this article
Cite this article
Mohammadloo, S., Alizadeh, M.H. & Jafari, M. Multivariable autopilot design for sounding rockets using intelligent Eigenstructure Assignment technique. Int. J. Control Autom. Syst. 12, 208–219 (2014). https://doi.org/10.1007/s12555-012-0229-4
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12555-012-0229-4