Maneuver and vibration control of hybrid coordinate systems using lyapunov stability theory

Journal of Guidance, Control, and Dynamics

Volumn 16, Issue 4, 1993, Pages 668-676

  Junkins, John L ^a   Bang, Hyochoong ^a,b  

^a TEXAS A AND M UNIVERSITY   (United States)

^b NAVAL POSTGRADUATE SCHOOL   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL THEORY; EQUATIONS OF MOTION; FLEXIBLE STRUCTURES; ROBUSTNESS (CONTROL SYSTEMS); STABILITY CRITERIA; VIBRATION CONTROL;

CLOSED-LOOP STATE FEEDBACK TECHNIQUE; CONTROL LAW DESIGN METHODOLOGY; HAMILTON'S CANONICAL EQUATIONS; HYBRID COORDINATE SYSTEMS; NONLINEAR HYBRID SYSTEMS; OPEN-LOOP CONTROL TECHNIQUE; PARTIAL DIFFERENTIAL EQUATION; TRUNCATION ERROR;

LYAPUNOV METHODS;

EID: 0027626254     PISSN: 07315090     EISSN: None     Source Type: Journal    
DOI: 10.2514/3.21066     Document Type: Article

References (22)

1. Balas, M. J., “Trends in Large Space Structures Control Theory: Fondest Hopes, Wildest Dreams,” IEEE Transactions on Automatic Control, Vol. AC-27, No. 3, 1982, pp. 522-535.
2. Markley, F. L., “Large Angle Maneuver Strategies for Flexible Spacecraft,” Advances in Astronautical Sciences, Paper AAS 79-156, 1979.
3. Turner, J. D., and Junkins, J. L., “Optimal Large Angle Single Axis Rotational Maneuvers of Flexible Spacecraft,” Journal of Guidance and Control, Vol. 3, No. 6, 1980, pp. 578-585.
4. Meirovitch, L., and Quinn, R., “Maneuvering and Vibration Control of Flexible Spacecraft,” Journal of the Astronautical Sciences, Vol. 35, No. 3, 1987, pp. 301-328.
5. Balas, M. J., “Feedback Control of Flexible Systems,” IEEE Transactions on Automatic Control, Vol. AC-23, No. 4, 1978, pp. 673-693.
6. Breakwell, J. A., “Optimal Feedback Control of Flexible Spacecraft,” Journal of Guidance and Control, Vol. 4, No. 5, 1981, pp. 427-429.
7. ’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.
8. Singh, G., Kabamba, P., and McClamroch, N., “Planar Time Optimal Slewing Maneuvers of Flexible Spacecraft,” Journal of Guidance, Control, and Dynamics, Vol. 12, No. 1, 1989, pp. 71-81.
9. VanderVelde, W., and He, J., “Design of Space Structure Control Systems Using On-Off Thrusters,” Journal of Guidance, Control, and Dynamics, Vol. 6, No. 1, 1983, pp. 759-776.
10. Skaar, S. B., “Closed Form Optimal Control Solution for Continuous Linear Elastic Systems,” Journal of the Astronautical Sciences, Vol. 32, No. 4, 1984, pp. 447-461.
11. Vadali, S. R., “Feedback Control of Flexible Spacecraft Large Angle Maneuvers Using Lyapunov Theory,” Proceedings of the 1984 American Control Conference, Inst, of Electrical and Electronics Engineers, Piscataway, NJ, June 1984, pp. 1674-1678.
12. Fujii, H., Ohtsuka, T., and Udou, S., “Mission Function Control for Slew Maneuver Experiment,” Journal of Guidance, Control, and Dynamics, Vol. 12, No. 6, 1989, pp. 858-865.
13. Junkins, J., Rahman, Z., Bang, H., and Hecht, N., “Near-Minimum Time Feedback Control of Distributed Parameter Systems: A Lyapunov Control Law Design Method,” Proceedings of the Seventh VPI& SU Symposium of Dynamics and Control of Large Structures, Virginia Polytechnic Inst, and State Univ., Blacksburg, VA, 1989.
14. Junkins, J. L., Rahman, Z., and Bang, H., “Near-Minimum Time Maneuvers of Flexible Vehicles: A Lyapunov Control Law Design Method,” AIAA Paper 90-1222, April 1990.
15. Junkins, J. L., Rahman, Z., and Bang, H., “Near-Minimum Time Control of Distributed Parameter Systems: Analytical and Experimental Results,” Journal of Guidance, Control, and Dynamics, Vol. 14, No. 2, 1991, pp. 406-415.
16. Meirovitch, L., Methods of Analytical Dynamics, McGraw-Hill, New York, 1970.
17. Lee, S., and Junkins, J. L., “Explicit Generalization of Lagran-gian Equations of Hybrid Coordinate Dynamical Systems,” Journal of Guidance, Control, and Dynamics, Vol. 15, No. 6, 1992, pp. 1443-1452.
18. Meirovitch, L., Computational Methods in Structural Dynamics, Sijthoff & Noordhoff, Alphen aan den Rijn, The Netherlands, 1980.
19. Glodstein, H., Classical Mechanics, Addison-Wesley, Reading, MA, 1980.
20. Bang, H., and Junkins, J. L., “Lyapunov Optimal Control Law for Flexible Space Structure Maneuver and Vibration Control,” Advances in Astronautical Sciences, Paper AAS 91-143, 1991.
21. Hailey, J. A., Sortun, C. D., and Agrawal, B. N., “Experimental Verification of Attitude Control Techniques for Slew Maneuvers of Flexible Spacecraft,” AIAA Guidance, Navigation, and Control Conference, AIAA Paper 92-4456, Hilton Head, SC, Aug. 1992.
22. Craig, R. R., Jr., Structural Dynamics—Introduction to Computer Methods, Wiley, New York, 1981.