Hankel singular values of flexible structures in discrete time

Journal of Guidance, Control, and Dynamics

Volumn 19, Issue 6, 1996, Pages 1370-1377

  Lim, K B ^a   Gawronski, W ^b  

^a NASA LANGLEY RESEARCH CENTER   (United States)

^b CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROLLABILITY; DISCRETE TIME CONTROL SYSTEMS; INVARIANCE; LINEAR CONTROL SYSTEMS; MATRIX ALGEBRA; MODAL ANALYSIS; NYQUIST DIAGRAMS; OBSERVABILITY; STATE SPACE METHODS; VECTORS;

GRAMMIAN MATRICES; HANKEL SINGULAR VALUES;

FLEXIBLE STRUCTURES;

EID: 0030286857     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/3.21796     Document Type: Article

References (12)

1. Brockett, R, W., Finite Dimensional Linear Systems, Wiley, New York, 1970, Chap. 2.
2. Kwakernaak, H., and Sivan, R., Linear Optimal Control Systems, Wiley, New York, 1972, Chap. 1.
3. Skelton, R. E., Dynamic Systems Control, Wiley, New York, 1988, Chap. 5.
4. Moore, B. C., "Principal Component Analysis in Linear Systems: Controllability, Observability, and Model Reduction," IEEE Transactions on Automatic Control, Vol. AC-26, No. 1, 1981, pp. 17-32.
5. Gregory, C. Z., Jr., "Reduction of Large Flexible Spacecraft Models Using Internal Balancing Theory," Journal of Guidance, Control, and Dynamics, Vol. 7, No. 6, 1984, pp. 725-732.
6. Williams, T., "Closed Form Grammians and Model Reduction for Flexible Space Structures," IEEE Transactions on Automatic Control, Vol. AC-35, March 1990, pp. 379-382.
7. Gawronski, W., and Williams, T., "Model Reduction for Flexible Space Structures," Journal of Guidance, Control, and Dynamics, Vol. 14, No. 1, 1991, pp. 68-76.
8. Lim, K. B., and Gawronski, W., "Actuator and Sensor Placement for Control of Flexible Structures," Control and Dynamics Systems, edited by C. T. Leondes, Vol. 57, Academic, San Diego, 1993, pp. 109-152.
9. Gawronski, W., and Lim, K. B., "Balanced Actuator and Sensor Placement for Flexible Structures," AIAA Paper 95-3259, Aug. 1995.
10. Gawronski, W., Balanced Control of Flexible Structures, Springer-Verlag, London, 1996.
11. Franklin, G. F., Powell, J. D., and Workman, M. L., Digital Control of Dynamic Systems, Addison-Wesley, Reading, MA, 1992.
12. Juang, J.-N., Applied System Identification, Prentice-Hall, Englewood Cliffs, NJ, 1994, Chap. 5.