An intrinsic observer for a class of simple mechanical systems on a lie group

Proceedings of the American Control Conference

Volumn 2, Issue , 2004, Pages 1546-1551

  Maithripala, D H S ^a   Berg, Jordan M ^a   Dayawansa, W P ^b  

^a Department of Electrical and Computer Engineering   (United States)

^b TEXAS TECH UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; COMPUTER SIMULATION; ELECTROMECHANICAL DEVICES; FEEDBACK CONTROL; KINETIC ENERGY; MATHEMATICAL TRANSFORMATIONS; NONLINEAR SYSTEMS; POTENTIAL ENERGY; SYSTEM STABILITY;

EUCLIDIAN MOTION GROUP; INTRINSIC OBSERVER; MECHANICAL CONTROL SYSTEMS; MECHANICAL SYSTEMS;

OBSERVABILITY;

EID: 8744245176     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/acc.2004.1386796     Document Type: Conference Paper

References (21)

1. N. Aghannan and P. Rouchon, "An Intrinsic Observer for a Class of Lagrangian Systems," IEEE Transactions on Automatic Control, (48) No. 6, ppg 936-945, June 2003.
2. M. R. Akella, "Rigid Body Attitude Tracking without Angular Velocity Feedback," Systems and Control Letters, (42), ppg 321-326, 2001.
3. M. R. Akella, J. T. Halbert and G. R. Kotamraju, "Rigid Body Attitude Control with Inclinometer and Low-cost Gyro Measurements," Systems and Control Letters, (49), ppg 151-159, 2003.
4. V. I. Arnold, Mathematical Methods of Classical Mechanics, Second Ed. Springer-Verlag, NY 1989.
5. A. M. Bloch and J. E. Marsden, "Stabilization of Rigid Body Dynamics by the Energy-Casimir Method," Systems and Control Letters, (14), ppg 341-346, 1991.
6. A. M. Bloch and N. E. Leonard, "Symmetries Conservation Laws, and Control," Geometry, Mechanics and Dynamics, ppg 431-460, Springer-Verlag, NY 2002.
7. F. Bullo and R. M. Murray, "Tracking for Fully Actuated Mechanical Systems: A Geometric Framework," Automatica, (35), pp 17-34, 1999.
8. F. Bullo, N. E. Leonard and A. D. Lewis, "Controllability and Motion Algorithms for Underactuated Lagrangian Systems on Lie Groups," IEEE Transactions on Automatic Control, (45) No. 8, ppg 1437-1454, June 2003.
9. T. Frankel, The Geometry of Physics: An Introduction, Cambridge University Press, 1997.
10. J. Jost, Riemannian Geometry and Geometric Analysis, Springer-Verlag, Berlin 2002.
11. A. J. Krener, "Feedback Linearization," Mathematical Control Theory, ppg 66-95, Springer-Verlag, NY 1999.
12. D. H. S. Maithripala, R. O. Gale, M. W. Holtz, Jordan M. Berg and W. P. Dayawansa, "Nano-precision control of micromirrors using output feedback," Proc. of the CDC, Maui, HW, December 2003, pp. 26522657, 2003.
13. J. E. Marsden and T. S. Ratiu, Introduction to Mechanics and Symmetry, Second Ed. Springer-Verlag, NY 1999.
14. F. Mazenc and A. Astolfi, "Robust Output Feedback Stabilization of the Angular Velocity of a Rigid Body," Systems and Control Letters, (39), ppg 203-210, 2000.
15. M. C. Munoz-Lecanda and F. J. Yaniz-Fernandez, "Dissipative Control of Mechanical Systems," Siam Journal of Control and Optimization, (40) No. 5, ppg 1505-1516, 2002.
16. P. Petersen, Riemannian Geometry, Springer-Verlag, NY 1998.
17. H. Rehbinder and X. Hu, "Nonlinear State Estimation for Rigid Body Motion with Low Pass Sensors," Systems and Control Letters, (40), No. 3, ppg 183-191, 2000.
18. S. Salcudean, "A Globally Convergent Angular Velocity Observer for Rigid Body Motion," IEEE Transactions on Automatic Control, (36) No. 12, ppg 1493-1497, December 1991.
19. G. V. Smirnov, "Attitude Determination and Stabilization of a Spherically Symmetric Rigid Body in a Magnetic Field," International Journal of Control, (74) No. 4, ppg 341-347, 2001.
20. C. A. Woolsey and N. E. Leonard, "Moving Mass Control for Underwater Vehicles," Proc. of the American Control Conference, Anchorage, Ak, ppg 2824-2830, 2001.
21. M. Zefran, V. Kumar and C. B. Croke, "On the Generation of Smooth Three-Dimensional Rigid Body Motions," IEEE Transactions on Automatic Control, (14) No. 4, ppg 576-589, August 1998.