Lyapunov control law for slew maneuver using time finite element analysis

Journal of Guidance, Control, and Dynamics

Volumn 24, Issue 1, 2001, Pages 87-94

  Suk, Jinyoung ^a   Boo, Sunwoong ^a   Kim, Youdan ^b  

^a Korea Aerospace Industries Inc   (South Korea)

^b Seoul National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; CONTROL SYSTEM ANALYSIS; FEEDBACK CONTROL; FINITE ELEMENT METHOD; LAGRANGE MULTIPLIERS; MANEUVERABILITY;

LYAPUNOV CONTROL LAW;

SPACECRAFT;

EID: 0034824890     PISSN: 07315090     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.4679     Document Type: Article

References (25)

1. Bailey, C. D., "Application of Hamilton's Law of Varying Action," AIAA Journal, Vol. 13, No. 9, 1975, pp. 1154-1157.
2. Bailey, C. D., "Direct Analytical Solutions to Non-Uniform Beam Problems," Journal of Sound and Vibration, Vol. 56, No. 4, 1978, pp. 501-507.
3. Simkins, T. E., "Unconstrained Variational Statements for Initial and Boundary-Value Problems," AIAA Journal, Vol. 16, No. 6, 1978, pp. 559-563.
4. Hodges, D. H., and Hou, L. J., "Shape Functions for Mixed p-Version Finite Elements in the Time Domain," Journal of Sound and Vibration, Vol. 145, No. 2, 1991, pp. 169-178.
5. Borri, M., Ghiringhelli, G., Lanz, M., Mantegazza, P., and Merlini, T., "Dynamic Response of Mechanical Systems by a Weak Hamiltonian Formulation," Computers and Structures, Vol. 20, No. 1-3, 1985, pp. 495-508.
6. Öz, H., and Adiguzel, E., "Hamilton's Law of Varying Action, Part I: Assumed-Time-Modes Method," Journal of Sound and Vibration, Vol. 179, No. 4, 1995, pp. 697-710.
7. Hodges, D. W., and Bless, R R., "Weak Hamiltonian Finite Element Method for Optimal Control Problems," Journal of Guidance, Control, and Dynamics, Vol. 14, No. 1, 1991, pp. 148-156.
8. Bless, R. R, Hodges, D. H., and Seyward, H., "Finite Element Method for the Solution of State-Constrained Optimal Control Problems," Journal of Guidance, Control, and Dynamics, Vol. 18, No. 5, 1995, pp. 1036-1043.
9. Hodges, D. H., Bless, R. R., Calise, A. J., and Leung, M., "Finite Element Method for Optimal Guidance of an Advanced Launch Vehicle," Journal of Guidance, Control, and Dynamics, Vol. 15, No. 3, 1992, pp. 664-671.
10. Lee, S., and Kim, Y., "Time-Domain Finite Element Method for Inverse Problem of Aircraft Maneuvers," Journal of Guidance, Control, and Dynamics, Vol. 20, No. 1, 1997, pp. 97-103.
11. Öz, H., and Adiguzel, E., "Hamilton's Law of Varying Action, Part II: Direct Optimal Control of Linear Systems," Journal of Sound and Vibration, Vol. 179, No. 4, 1995, pp. 711-724.
12. Anderson, B. D. O., and Moore, J. B., Optimal Control: Linear Quadratic Methods, Prentice-Hall, Englewood Cliffs, NJ, 1989, Chap. 13.
13. Kwakernaak, H., and Sivan, R., Linear Optimal Control Systems, Wiley, New York, 1972, pp. 377-438.
14. Bryson, A. E., and Ho, Y. C., Applied Optimal Control, Wiley, New York, 1975, pp. 42-89.
15. Bang, H., Junkins, J. L., and Fleming, P., "Lyapunov Optimal Control Laws for Flexible Structure Maneuver and Vibration Control," Journal of Astronautical Sciences, Vol. 41, No. 1, 1993, pp. 91-118.
16. Kim, Y., Suk, J., Kim, S., and Junkins, J. L., "Near-Minimum-Time Control of Smart Structures for Slew Maneuver," Journal of Astronomical Sciences, Vol. 45, No. 1, 1997, pp. 91-111.
17. Turner, J. D., and Chun, H. M., "Optimal Distributed Control of a Flexible Spacecraft During a Large-Angle Maneuver," Journal of Guidance, Control, and Dynamics, Vol. 7, No. 3, 1984, pp. 257-264.
18. Banerjee, A. K., "Dynamics and Control of WISP Shuttle Antennae System," Journal of Astronomical Sciences, Vol. 41, No. 1, 1993, pp. 73-90.
19. Singhose, W. E., Banerjee, A. K., and Seering, W. P., "Slewing Flexible Spacecraft with Deflection-Limiting Input Shaping," Journal of Guidance, Control, and Dynamics, Vol. 20, No. 2, 1997, pp. 291-298.
20. Suk, J., and Kim, Y., "Slew Maneuver of Flexible Space Structures Using Time Finite Element Analysis," AIAA Journal, Vol. 36, No. 10, 1998, pp. 1938-1940.
21. Suk, J., and Kim, Y., "Time-Domain Finite Element Analysis of Dynamic Systems," AIAA Journal, Vol. 36, No. 7, 1998, pp. 1312-1319.
22. Junkins, J. L., Rahman, Z. H., and Bang, H., "Near-Minimum-Time Control of Distributed Parameter Systems: Analytical and Experimental Re" sults," Journal of Guidance, Control, and Dynamics, Vol. 14, No. 2, 1991, pp. 406-415.
23. Bailey, T., and Hubbard, J. E., "Distributed Piezoelectric-Polymer Active Vibration Control of a Cantilever Beam," Journal of Guidance, Control, and Dynamics, Vol. 8, No. 5, 1985, pp. 605-611.
24. Suk, J., Moon, J. Y., and Kim, Y., "Torque Shaping Using Trigonometric Series Expansion for Slewing of Flexible Structures," Journal of Guidance, Control, and Dynamics, Vol. 21, No. 5, 1998, pp. 698-703.
25. Suk, J., Kim, Y., and Bang, H., "Experimental Evaluation of the Torque Shaping Method for Slew Maneuver of Flexible Space Structures," Journal of Guidance, Control, and Dynamics, Vol. 21, No. 6, 1998, pp. 817-822.