Modeling and Integral Sliding Mode Control of a Roll-yaw Seeker by Removing the Singularity Condition

Document Type : Research Article

Authors

1 Department of Aerospace Engineering, Amirkabir University of Technology, Tehran, Iran.

2 Department of Aerospace Engineering, Sharif University of Technology, Tehran, Iran.

Abstract

This paper aims to model and sliding mode control of a roll-yaw seeker. In the roll-yaw seeker, a singularity occurs when the seeker is directed precisely to a target, and the seeker will lose the target. Thus, the Controller design should contain a tracking strategy to deal with the singularity. In this paper, Newton-Euler's method is applied to the dynamic model of a roll-yaw seeker's roll and yaw gimbals. The dynamics of the roll-yaw seeker are highly nonlinear. Also, unmodeled uncertainties and perturbations reduce the model's reliability. A two-input, two-output integral sliding mode controller is designed to control the nonlinear dynamics of the seeker and deal with uncertainties. The numerical simulation results show that all three stabilization, tracking, and guidance loops in both roll and yaw channels have acceptable performance. Also, it is shown that the controller has good robustness.

Keywords

Main Subjects


[1]           Liu, Xiao, and Bo Mo. "Line-of-sight estimation for missile with roll-pitch seeker." 2018 37th Chinese Control Conference (CCC). IEEE, 2018.‏
[2]           WANG, Zhi-wei, Zai-kang Qi, and Jiang Wang. "Tracking principle for roll-pitch seeker." Infrared and Laser Engineering 2 (2008).‏
[3]            Lin, De-fu, Zhi-wei Wang, and Jiang Wang. "Singularity analysis of roll-pitch seeker and its control strategy." Transactions of Beijing Institute of Technology 30.11 (2010): 1265-1269.‏
[4]            Jiang, Huhai, Hongguang Jia, and Qun Wei. "Analysis of zenith pass problem and tracking strategy design for roll–pitch seeker." Aerospace Science and Technology 23.1 (2012): 345-351.‏
[5]           Liu, Hui, et al. "LOS Stabilization and gyro configuration analysis for roll-pitch seeker." Applied Mechanics and Materials. Vol. 397. Trans Tech Publications Ltd, 2013.‏
[6]           Wu, H., H. Jia, and Q. Wei. "Optimization of angle increments in tracking loop for roll-pitch seekers." Opt Precis Eng 22 (2014): 2787-2795.‏
[7]             Park, Jaemin, et al. "Optimal Control of Roll-Pitch Seeker with Singularity Avoidance." 2018 26th Mediterranean Conference on Control and Automation (MED). IEEE, 2018.‏
[8]           Wang, Xinchun, et al. "Predictive functional control-based zenith pass controller design for roll-pitch seeker." International Journal of Aerospace Engineering 2020 (2020).‏
[9]           Junlin, M. A., et al. "Design of Micro-miniature Infrared Seeker with Roll-Pitch Structure." 红外技术 43.5 (2021): 411-416.‏
[10]        Yue, L. I., H. E. Lei, and X. I. A. Qunli. "Line-of-sight rates extraction of roll-pitch seeker under anti-infrared decoy state." Journal of Systems Engineering and Electronics 32.1 (2021): 178-196.‏
[11]        Jianping, Z. H. O. U., et al. "Stability Design of Spinning Missile Autopilot Considering Parasitical Loop of Roll-pitch Seeker." Acta Armamentarii 43.1 (2022):1
 [12]       Ghasemi, Mahsa, Hadi Nobahari, and Hamed Mohammadkarimi. "Modeling and Sliding Mode Control of a Roll-Pitch Seeker." Journal of Aeronautical Engineering 25.1 (2023): 76-90.‏
[13]        Chen, Jian, et al. "Snake-hot-eye-assisted multi-process-fusion target tracking based on a roll-pitch semi-strapdown infrared imaging seeker." Journal of Bionic Engineering 19.4 (2022): 1124-1139.‏
[14]        Xiao, Bowen, et al. "Research on the Influence of the Parasitic Loop of the Roll-Pitch Seeker on the Stability of the Guidance System." Journal of Physics: Conference Series. Vol. 2508. No. 1. IOP Publishing, 2023.‏
[15] Fathi, A., et al. "Modelling and simulation of two axes gimbal fuzzy PI stabilization system in the presence of feedback sensors noise." IOP Conference Series: Materials Science and Engineering. Vol. 1172. No. 1. IOP Publishing, 2021.‏
[16] Li, Yue, et al. "A new compensation method for DRR of a roll-pitch seeker based on ESO." International Journal of Aerospace Engineering 2021 (2021): 1-19.‏
[17] Yue, L. I., et al. "Influence of roll-pitch seeker DRR and parasitic loop on Lyapunov stability of guidance system." Journal of Systems Engineering and Electronics 32.6 (2021): 1509-1526.‏
[18] Lin, Fan, and Xinjie Shen. "Research on Command Generation Strategy of Roll and pitch seeker." Journal of Physics: Conference Series. Vol. 2085. No. 1. IOP Publishing, 2021.‏
[19] YAO, Jiazhi, et al. "Research on Tracking Strategy of Roll-pitch Seeker." Acta Armamentarii (2023): 0.‏
[20] Xiao, Bowen, et al. "Research on the Influence of the Disturbance Rejection Rate of a Roll–Pitch Seeker on Stable Tracking Characteristics." Aerospace 10.11 (2023): 940.‏
[21] Xiao, Bowen, et al. "Research on the Influence of the Parasitic Loop of the Roll-Pitch Seeker on the Stability of the Guidance System." Journal of Physics: Conference Series. Vol. 2508. No. 1. IOP Publishing, 2023.‏
[22] JIN, Qiuyan, et al. "The Control Strategy of Zenith-pass Singularity Problem Under the Roll-pitch Seeker Oblique Scheme." Acta Armamentarii 45.2 (2024): 628.‏
[23] Zipfel, P. H. "Modeling and Simulation of Aerospace Vehicle Dynamics–Third edition." (2014).
[24] Abdo, Maher Mahmoud, et al. "Stabilization loop of a two axes gimbal system using self-tuning PID type fuzzy controller." ISA transactions 53.2 (2014): 591-602.‏
[25] Slotine, Jean-Jacques E., and Weiping Li. Applied nonlinear control. Vol. 199. No. 1. Englewood Cliffs, NJ: Prentice hall, 1991.