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http://dx.doi.org/10.5139/IJASS.2017.18.4.697

Finite-Time Convergent Guidance Law Based on Second-Order Sliding Mode Control Theory  

Ji, Yi (School of Aerospace Engineering, Beijing Institute of Technology)
Lin, Defu (School of Aerospace Engineering, Beijing Institute of Technology)
Wang, Wei (School of Aerospace Engineering, Beijing Institute of Technology)
Lin, Shiyao (School of Aerospace Engineering, Beijing Institute of Technology)
Publication Information
International Journal of Aeronautical and Space Sciences / v.18, no.4, 2017 , pp. 697-708 More about this Journal
Abstract
The complex battlefield environment makes it difficult to intercept maneuvering targets for guided missiles. In this paper, a finite-time convergent (FTC) guidance law based on the second-order sliding mode (SOSM) control theory is proposed to achieve the requirements of stability, accuracy and robustness. More specifically, a second-order sliding mode observer (SMOB) is used to estimate and compensate for the total disturbance of the controlled system, while the target acceleration is extracted from the line-of-sight (LOS) angle measurement. The proposed guidance law can drive the LOS angular rate converge to zero in a finite time, which means that the missile will accurately intercept the target. Numerical simulations with some comparisons are performed to demonstrate the superiority of the proposed guidance law.
Keywords
Guidance law; Finite-time convergence; Second-order sliding mode; Sliding mode observer;
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1 Nesline, F. W. and Zarchan, P. A., "New Look at Classical vs Modern Homing Missile Guidance", Journal of Guidance, Control and Dynamics, Vol. 4, 1981, pp. 78-85.   DOI
2 Zarchan, P., Tactical and Strategic Missile Guidance, Virginia: American Institute of Aeronautics and Astronautics, 2002.
3 Murtaugh, S. A. and Criel, H. E., "Fundamentals of Proportional Navigation", IEEE Spectrum, Vol. 3, No. 12, 1966, pp. 75-85.   DOI
4 Budiyono, A. and Rachman, H., "Proportional Guidance and CDM Control Synthesis for a Short-Range Homing Surface-to-Air Missile", Journal of Aerospace Engineering, Vol. 25, 2011, pp. 168-177.
5 Prasanna, H. M. and Ghose, D., "Retro-Proportional-Navigation: A New Guidance Law for Interception of High Speed Targets", Journal of Guidance, Control and Dynamics, Vol. 35, No. 2, 2012, pp. 377-386.   DOI
6 Cho, N. and Kim, Y., "Optimality of Augmented Ideal Proportional Navigation for Maneuvering Target Interception", IEEE Transactions on Aerospace and Electronic System, Vol. 52, No. 2, 2016, pp. 948-U450.   DOI
7 Rusnak, I., Weiss, H., Eliav, R. and Shima, T., "Missile Guidance with Constrained Intercept Body Angle", IEEE Transactions on Aerospace and Electronic System, Vol. 50, No. 2, 2014, pp. 1445-1453.   DOI
8 Yu, S., Yu, X., Shirinzadeh, B. and Man, Z., "Continuous Finite-Time Control for Robotic Manipulators with Terminal Sliding Mode", Automatica, Vol. 41, No. 11, 2005, pp. 1957-1964.   DOI
9 Wang, H., Lin, D., Cheng, Z. and Wang, J., "Optimal Guidance of Extended Trajectory Shaping", Chinese Journal of Aeronautic, Vol. 27, No. 5, 2014, pp. 1259-1272.   DOI
10 Ryoo, C. K., Cho, H. and Tahk, M. J., "Time-to-Go Weighted Optimal Guidance with Impact Angle Constraints", IEEE Transactions on Control System Technology, Vol. 14, No. 3, 2006, pp. 483-492.   DOI
11 Weiss, M. and Shima, T., "Optimal Linear-Quadratic Missile Guidance Laws with Penalty on Command Variability", Journal of Guidance, Control and Dynamics, Vol. 38, No. 2, 2015, pp. 226-237.   DOI
12 Ohlmeyer, E. J. and Phillips, C. A., "Generalized Vector Explicit Guidance", Journal of Guidance, Control and Dynamics, Vol. 29, No. 2, 2006, pp. 261-268.   DOI
13 Guelman, M. and Shinar, J., "Optimal Guidance in Plane", Journal of Guidance, Control and Dynamics, Vol. 7, No. 4, 1984, pp. 471-476.   DOI
14 Cramer, E. J. and Lee, T. P., "Test Flight of LQR Missile Guidance", Astrodynamics Conference. 1992.
15 Indig, N., Ben-Asher, J. Z. and Farber, N., "Near-Optimal Spatial Midcourse Guidance Law with an Angular Constraint", Journal of Guidance, Control and Dynamics, Vol. 37, No. 1, 2014, pp. 214-223.   DOI
16 Ryu, M., Lee, C. and Tahk, M., "Command Shaping Optimal Guidance Laws Against High-Speed Incoming Targets", Journal of Guidance, Control and Dynamics, Vol. 38, No. 10, 2015, pp. 2025-2032.   DOI
17 Chen, H. and Yang, C., "Nonlinear Robust Guidance Law for Homing Missiles", Journal of Guidance, Control and Dynamics, Vol. 21, No. 6, 1998, pp. 882-890.   DOI
18 Liu, L. J. and Shen, Y., "Three-Dimension Guidance Law and Capture Region Analysis", IEEE Transactions on Aerospace and Electronic System, Vol. 48, 2012, pp. 419-429.   DOI
19 Zhou, D., Mu, C. and Xu, W., "Adaptive Sliding-Mode Guidance of a Homing Missile", Journal of Guidance, Control and Dynamics, Vol. 22, 1999, pp. 589-594.   DOI
20 Brierley, S. D. and Longchamp, R., "Application of Sliding-Mode Control to Air-Air Interception Problem", IEEE Transactions on Aerospace and Electronic System, Vol. 26, No. 2, 1992, pp. 306-325.
21 Yan, H. and Ji, H. B., "Guidance Laws Based on Input-to-State Stability and High-Gain Observers", IEEE Transactions on Aerospace and Electronic System, Vol. 48, 2012, pp. 2518-2529.   DOI
22 He, S., Wang, J. and Lin, D., "Composite Guidance Laws Using Higher Order Sliding Mode Differentiator and Disturbance Observer", Proceedings of the Institution of Mechanical Engineers Part G-Journal of Aerospace Engineering, Vol. 229, No. 13, 2015, pp. 2397-2415.   DOI
23 He, S. and Lin, D., "Guidance Laws Based on Model Predictive Control and Target Maneuver Estimator", Transactions of the Institute of Measurement and Control, Vol. 38, No. 12, 2016, pp. 1509-1519.   DOI
24 Zhou, D., Sun, S. and Teo, K. L., "Guidance Laws with Finite Time Convergence", Journal of Guidance, Control and Dynamics, Vol. 22, No. 4, 1999, pp. 589-594.   DOI
25 Kumar, S. R., Rao, S. and Ghose, D., "Sliding-Mode Guidance and Control for All-Aspect Interceptors with Terminal Angle Constraints", Journal of Guidance, Control and Dynamics, Vol. 37, No. 4, 2014, pp. 1114-1130.   DOI
26 Liu, J., Sliding Mode Control Design and MATLAB Simulation The Basic Theory and Design Method, Beijing: Tsinghua University Publication, 2015.
27 Li, S. and Tian, Y. P., "Finite-Time Stability of Cascaded Time-Varying Systems", International Journal of Control, Vol. 80, No. 4, 2007, pp. 646-657.   DOI