3D Guidance of Unmanned Aerial Vehicles Using Sliding Mode Approach

Authors: M. Zamurad Shah, M. Kemal Özgören, Raza Samar

Abstract:

This paper presents a 3D guidance scheme for Unmanned Aerial Vehicles (UAVs). The proposed guidance scheme is based on the sliding mode approach using nonlinear sliding manifolds. Generalized 3D kinematic equations are considered here during the design process to cater for the coupling between longitudinal and lateral motions. Sliding mode based guidance scheme is then derived for the multiple-input multiple-output (MIMO) system using the proposed nonlinear manifolds. Instead of traditional sliding surfaces, nonlinear sliding surfaces are proposed here for performance and stability in all flight conditions. In the reaching phase control inputs, the bang-bang terms with signum functions are accompanied with proportional terms in order to reduce the chattering amplitudes. The Proposed 3D guidance scheme is implemented on a 6-degrees-of-freedom (6-dof) simulation of a UAV and simulation results are presented here for different 3D trajectories with and without disturbances.

Keywords: Unmanned Aerial Vehicles, Sliding mode control, 3D Guidance, Path following, trajectory tracking, nonlinear sliding manifolds.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1096465

References:

[1] M. Breivik, T. Fossen, Principles of guidance-based path following in 2d and 3d, in: Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC ’05. 44th IEEE Conference on, 2005, pp. 627–634. doi:10.1109/CDC.2005.1582226.
[2] G. Ambrosino, M. Ariola, U. Ciniglio, F. Corraro, E. De Lellis, A. Pironti, Path generation and tracking in 3-d for uavs, Control Systems Technology, IEEE Transactions on 17 (4) (2009) 980–988. doi:10.1109/TCST.2009.2014359.
[3] I. Kaminer, O. Yakimenko, A. Pascoal, R. Ghabcheloo, Path generation, path following and coordinated control for timecritical missions of multiple uavs, in: American Control Conference, 2006, 2006, pp. 4906–4913. doi:10.1109/ACC.2006.1657498.
[4] R. Cunha, C. Silvestre, A 3d path-following velocity-tracking controller for autonomous vehicles, in: Proceedings of the 16th IFAC World Congress, 2005, 2005. doi:10.3182/20050703-6-CZ-1902.02064.
[5] M. Ahmed, K. Subbarao, Nonlinear 3-d trajectory guidance for unmanned aerial vehicles, in: Control Automation Robotics Vision (ICARCV), 2010 11th International Conference on, 2010, pp. 1923–1927. doi:10.1109/ICARCV.2010.5707911.
[6] R. W. Beard, T. W. McLain, Small Unmanned Aircraft: Theory and Practice, Princeton University Press, 2012.
[7] Y. Shtessel, I. Shkolnikov, M. Brown, An asymptotic second-order smooth sliding mode control, Asian Journal of Control 4 (5) (2003) 959–967.
[8] Y. B. Shtessel, I. A. Shkolnikov, A. Levant, Smooth second-order sliding modes: Missile guidance application, Automatica 43 (8) (2007) 1470 – 1476. doi:10.1016/j.automatica.2007.01.008.
[9] M. Z. Shah, R. Samar, A. I. Bhatti, Lateral control for UAVs using sliding mode technique, in: 18th IFAC World Congress, Milano, Italy, 2011.
[10] M. Z. Shah, R. Samar, A. Bhatti, Guidance of air vehicles: a sliding mode approach, Accepted for publication in IEEE Transactions on Control Systems Technology.
[11] M. Z. Shah, M. K. O¨ zgo¨ren, R. Samar, Sliding mode based longitudinal guidance of UAVs, in: 2014 UKACC International Conference on Control (CONTROL), IEEE, 2014 (Accepted).
[12] A. Miele, Flight Mechanics: Theory of Flight Paths, no. 1. c. in Addison-Wesley Series in the engineering sciences, Elsevier Science & Technology, 1962.
[13] D. G. Hull, Fundamentals of Airplane Flight Mechanics, 1st Edition, Springer Publishing Company, Incorporated, 2007.
[14] C. Edwards, S. K. Spurgeon, Sliding Mode Control: Theory and Applications, Taylor and Francis, 1998.
[15] V. I. Utkin, Variable structure systems with sliding modes: a survey, IEEE Transactions on Automatic Control 22 (1977) 212–222.
[16] B. Stevens, F. Lewis, Aircraft Control & Simulation, 2nd Edition, Wiley and Sons, Hoboken, New Jersey, USA, 2003.