A Missile Guidance Law Based on Sontag's Formula to Intercept Maneuvering Targets |
Ryoo, Chang-Kyung
(Department of Aerospace Engineering, Inha University)
Kim, Yoon-Hwan (Department of Aerospace Engineering, Korea Advanced Institute of Science and Technology (KAIST)) Tahk, Min-Jea (Department of Aerospace Engineering, Korea Advanced Institute of Science and Technology (KAIST)) Choi, Kee-Young (Department of Aerospace Engineering, Inha University) |
1 | D. E. Kirk, Optimal Control Theory - An Introduction, Prentice-Hall, New Jersey, 1970 |
2 | C. K. Ryoo, H. Cho, and M. J. Tahk, 'Optimal guidance laws with terminal impact angle constraint,' Journal of Guidance, Control, and Dynamics, vol. 28, no. 4, pp. 724-732, 2005 DOI ScienceOn |
3 | J. H. Oh and I. J Ha, 'Capturability of the 3-dimensonal pure PNG law,' IEEE Trans. on Aerospace and Electronic Systems, vol. 35, no. 2, pp. 491-503, 1999 DOI ScienceOn |
4 | A. Chakravarthy and D. Goshe, 'Capturability of realistic generalized true proportional navigation,' IEEE Trans. on Aerospace and Electronic Systems, vol. 32, no. 1, pp. 407-418, 1996 DOI ScienceOn |
5 | C. D. Yang, F. B. Yeh, and J. H. Chen, 'The closed-form solution of generalized proportional navigation,' Journal of Guidance, Control, and Dynamics, vol. 10, no. 2, pp. 216-218, 1987 DOI ScienceOn |
6 | C. D. Yang and H. Y. Chen, 'Three-dimensional nonlinear guidance law,' International Journal of Robust and Nonlinear Control, vol. 11, no. 2, pp. 109-129, 2001 DOI ScienceOn |
7 | Z. Artstein, 'Stabilization with relaxed controls,' Nonlinear Analysis, vol. 7, pp. 1163-1173, 1983 DOI ScienceOn |
8 | R. A. Freeman and P. V. Kokotovic, 'Inverse optimality in robust stabilization,' SIAM Journal of Control and Optimization, vol. 34, no. 4, pp. 1365-1391, 1996 DOI ScienceOn |
9 | K. B. Kim, M. J. Kim, and J. W. Choi, 'Modified receding horizon guidance law with information on small accurate time-to-go,' IEEE Trans. on Aerospace and Electronic Systems, vol. 36, no. 2, pp. 725-729, 2000 DOI ScienceOn |
10 | H. Cho, C. K. Ryoo, and M. J. Tahk, 'Closed-form optimal guidance law for missiles of time-varying velocity,' Journal of Guidance, Control, and Dynamics, vol. 19, no. 5, pp. 1017-1022, 1996 DOI ScienceOn |
11 | R. A. Freeman and J. A. Primbs, 'Control Lyapunov functions: New ideas from an old source,' Proc. of the 35th Conference on Decision and Control, Kobe, Japan, pp. 3926-3931, December 1996 |
12 | J. A. Primbs, V. Nevistic, and J. C. Doyle, 'Nonlinear optimal control: A control Lyapunov function and receding horizon perspective,' Asian Journal of Control, vol. 1, no. 1, pp. 12-24, 1999 |
13 | P. Gurfil, 'Non-linear missile guidance synthesis using control Lyapunov functions,' Proc. IMechE Part G: Journal of Aerospace Engineering, vol. 219, pp. 77-87, 2005 DOI ScienceOn |
14 | F. Imado and S. Uehara, 'High-g barrel roll maneuvers against proportional navigation from optimal control viewpoint,' Journal of Guidance, Control, and Dynamics, vol. 21, no. 6, pp. 876-881, 1998 DOI |
15 | M. Guelman, 'The closed-form solution of the true proportional navigation,' IEEE Trans. on Aerospace and Electronic Systems, vol. 12, no. 4, pp. 472-482, 1976 DOI ScienceOn |
16 | E. D. Sontag, 'A 'universal' construction of Artstein's theorem on nonlinear stabilization,' Systems & Control Letters, vol. 13, pp. 117-123, 1989 DOI ScienceOn |
17 | A. E. Bryson Jr. and Y. C. Ho, Applied Optimal Control-Optimization, Estimation, and Control, Hemisphere, Washington, DC, 1975 |
18 | K. Becker, 'Closed-form solution of pure proportional navigation,' IEEE Trans. on Aerospace and Electronic Systems, vol. 26, no. 3, pp. 526-533, 1990 DOI ScienceOn |
19 | S. H. Song and I. J. Ha, ' A Lyapunov approach to performance analysis of 3-dimensinal PNG laws,' IEEE Trans. on Aerospace and Electronic Systems, vol. 30, no. 1, pp. 238-248, 1994 DOI ScienceOn |
20 | D. Zhou, C. Mu, and W. Xu, 'Adaptive sliding-mode guidance of a homing missile,' Journal of Guidance, Control, and Dynamics, vol. 22, no. 4, pp. 589-594, 1999 DOI |
21 | V. Garver, 'Optimum intercept laws for accelerating targets,' AIAA Journal, vol. 6, pp. 2196-2198, 1968 DOI |
22 | J. Z. Ben-Asher and I. Yaesh, Advances in Missile Guidance Theory, AIAA Inc., Washington, DC, 1998 |
23 | C. K. Ryoo, Y. H. Kim, and M. J. Tahk, 'Capturability analysis of PN laws using Lyapunov stability theory,' Proc. of the AIAA Guidance, Navigation, and Control Conference, Providence, USA, pp. 2004-4883, August 2004 |
24 | P. J. Yuan and J. S. Chern, 'Solutions of true proportional navigation for maneuvering and non-maneuvering Targets,' Journal of Guidance, Control, and Dynamics, vol. 15, no. 1, pp. 268-271, 1992 DOI |
25 | P. Zarchan, Tactical and Strategic Missile Guidance, 4th ed., AIAA Inc., Washington, 2002 |