Volume 15, Issue 2 (Journal of Control, V.15, N.2 Summer 2021)
JoC 2021, 15(2): 117-137 |
Back to browse issues page
Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
Ebrahimi Fini A, Mohammadi A, Kashaninia A. Optimal Midcourse Guidance Design Using Constrained Generalized Model Predictive Spread Control Method. JoC 2021; 15 (2) :117-137
URL: http://joc.kntu.ac.ir/article-1-766-en.html
URL: http://joc.kntu.ac.ir/article-1-766-en.html
1- Malek-Ashtar University of Technology
Abstract: (9961 Views)
In this paper, generalized model predictive spread control methodis developed to consider the intermediate constraints on system states and system inputs. Because of using the orthogonal basis functions and thus reducing the computational burden, this new method which is named constrained generalized model predictive spread control can be used in online implementation of a finite-time constrained optimal control problem. For demonstrating the performance of the proposed technique, in this paper an interceptor midcourse guidance problem is formulated to reach a desired point in space. Several constraints are considered such as: hard and soft intermediate and terminal constraints on system states and different constraints on input acceleration command to the interceptor in different time intervals of the trajectory. It is shown that in all the above situations, the proposed method could produce the optimal guidance commands such that all the interceptor trajectory constraints are satisfied.
Type of Article: Research paper |
Subject:
Special
Received: 2020/06/2 | Accepted: 2020/10/19 | ePublished ahead of print: 2021/03/3
Received: 2020/06/2 | Accepted: 2020/10/19 | ePublished ahead of print: 2021/03/3
References
1. [1] D. E. Kirk, Optimal control theory: An introduction, Englewood Cliffs, NJ: Prentice-Hall, republished by Dover Publications in 2004.
2. [2] B. Sridhar and N. K. Gupta, "Missile Guidance Laws Based on Singular Perturbation Methodology, "Journal of Guidance and Control, vol. 3, no. 2, pp. 158-165, 1980. [DOI:10.2514/3.55964]
3. [3] J. J. Dougherty and J. L. Speyer, "Near Optimal Guidance Law for Ballistic Missile Interception," Journal of Guidance and Control, vol. 20, no. 2, pp. 355-362, 1997. [DOI:10.2514/2.4046]
4. [4] R. R. Kumar and H. Seywald, "Near-Optimal Three-Dimensional Air-to-Air Missile Guidance Against Maneuvering Target," Journal of Guidance and Control, vol. 18, no. 3, pp. 457-464, 1995. [DOI:10.2514/3.21409]
5. [5] H. S. Shin, A. Tsourdos, B. A. White and M. J. Tahk, "Earliest Intercept Geometry Guidance to Improve Mid-Course Guidance in Area Air-Defence," IEEE 17th Mediterranean Conference on Control & Automation, Makedonia Palace, Thessaloniki, Greece, 2009. [DOI:10.1109/MED.2009.5164769]
6. [6] P. Garnell,Guided Weapon Control Systems, 2nd ed. New York: Pergamon, 1980.
7. [7] F. Imado and T. Kuroda, "Optimal Midcourse Guidance for Medium Range Air-to-Air Missiles," Journal of Guidance and Control, vol. 13, no. 4, pp. 603-608, 1990. [DOI:10.2514/3.25376]
8. [8] F. Imado and T. Kuroda, "Optimal Missile Guidance System against a Hypersonic Target," AIAA Journal, pp. 1006-1011, 1992. [DOI:10.2514/6.1992-4531]
9. [9] R. Padhi and M. Kothari, "Model predictive static programming: A computationally efficient technique for suboptimal control design," International Journal of Innovative Computing, Information and Control, vol. 5, no. 2, pp. 399-411, 2009.
10. [10] W. Powell, Approximate Dynamic Programming: Solving the Curses of Dimensionality, Wiley Series in Probability and Statistics, Wiley, 2011. [DOI:10.1002/9781118029176]
11. [11] P. Dwivedi, A. Bhattacharyya and R. Padhi, "Computationally efficient suboptimal mid course guidance using model predictive static programming (mpsp)," IFAC Proceedings, vol. 41, no. 2, pp. 3550-3555, 2008. [DOI:10.3182/20080706-5-KR-1001.00600]
12. [12] P. Dwivedi, R. Padhi, A. Bhattacharya and R. N. Bhattacharjee, "Suboptimal midcourse model predictive spread acceleration guidance," In: Proceedings of the International Conference and Exhibition in Aerospace Engineering. Bangalore, India, 2009.
13. [13] P. Dwivedi, A. Bhattacharya and R. Padhi, "Suboptimal midcourse guidance of interceptors for high-speed targets with alignment angle constraint," Journal of Guidance, Control, and Dynamics, vol. 34, no. 3, pp. 860-877, 2011. [DOI:10.2514/1.50821]
14. [14] A. Ebrahimi, A. Mohammadi and A. Kashaninia, "Suboptimal midcourse guidance design using generalized model predictive spread control," Transaction of the Institute of Measurement and Control, 2020. [DOI:10.1177/0142331220928888]
15. [15] S. Mondal, and R. Padhi, "Angle-constrained terminal guidance using quasi-spectral model predictive static programming," Journal of Guidance, Control, and Dynamics, vol. 41, no. 3, pp. 783-791, 2017. [DOI:10.2514/1.G002893]
16. [16] S. Mondal and R. Padhi, "State and Input Constrained Missile Guidance using Spectral Model Predictive Static Programming," AIAA Guidance, Navigation and Control Conference, Kissimmee, Florida, 2018. [DOI:10.2514/6.2018-1584]
17. [17] L. Wang, Model Predictive Control System Design and Implementation Using MATLAB, 1st ed., Springer Publishing Company, Incorporated, 2009.
18. [18] C. P. Neuman and D. I. Schonbach, "Discrete (legendre) orthogonal polynomials-a survey," International Journal for Numerical Methods in Engineering, vol. 8, no. 4, pp. 743-770, 1974. [DOI:10.1002/nme.1620080406]
19. [19] N. Indig and J. Z. Ben-Asher, "Near-optimal spatial midcourse guidance law with an angular constraint," Journal of Guidance, Control, and Dynamics, vol. 37, no. 1, pp. 214-223, 2014. [DOI:10.2514/1.60356]
Send email to the article author
| Rights and permissions | |
 |
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. |
