Krylov Vector Methods for Model Reduction and Control of Flexible Structures

Control and Dynamic Systems

Volumn 54, Issue C, 1992, Pages 449-481

  Su, Tzu Jeng ^a   Craig, Roy R ^b  

^a NASA LANGLEY RESEARCH CENTER   (United States)

^b UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 27544467602     PISSN: 00905267     EISSN: None     Source Type: Book Series    
DOI: 10.1016/B978-0-12-012754-2.50016-9     Document Type: Chapter

References (24)

1. Craig, R.R. Jr., “A Review of Time-Domain and Frequency-Domain Component Modes Synthesis Methods,”. Combined Experimental/Analytical Modeling of Dynamic Structural Systems AMD-Vol. 67 (1985), 1–30 ASME, NY.
2. Wilson, E.L., Yuan, M.W., Dickens, J.M., “Dynamic Analysis by Direct Superposition of Ritz Vectors,”. Earthquake Eng. & Struc. Dyn. 10 (1982), 813–882.
3. Nour-Omid, B., Clough, R.W., “Dynamic Analysis of Structures Using Lanczos Co-ordinates,”. Earthquake Eng. & Struc. Dyn. 12 (1984), 565–577.
4. Craig, R.R. Jr., Hale, A.L., “The Block-Krylov Component Synthesis Method for Structural Model Reduction,”. AIAA J. Guidance, Control, and Dynamics 11 (1988), 562–570.
5. Arnold, R.R., Citerley, R.L., Chargin, M., Galant, D., “Application of Ritz Vectors for Dynamic Analysis of Large Structures,”. Computers and Structures 21 (1985), 461–467.
6. Su, T.J., Craig, R.R. Jr., “Model Reduction and Control of Flexible Structures Using Krylov Vectors,”. AIAA J. Guidance, Control, and Dynamics 14 (1991), 260–267.
7. T. J. Su and R. R. Craig, Jr., “Controller Reduction By Preserving Impulse Response Energy,” AIAA Paper 89–3432, AIAA Guidance, Navigation and Control Conference, Boston, MA, pp. 55–64 (1989).
8. Chen, C.F., “Model Reduction of Multivariable Control System by Means of Matrix Continued Fraction,”. Int. J. Control 20 (1974), 225–238.
9. Hickin, J., Sinha, N.K., “Model Reduction for Linear Multivariable Systems,”. IEEE Trans. Automat. Contr. AC-25 (1980), 1121–1127.
10. Lai, J.S., Hung, J.C., “Practical Model Reduction Methods,”. IEEE Trans. Industrial Electronics 34 (1987), 70–77.
11. Shieh, L.S., Wei, Y.J., “A Mixed Method for Multivariable System Reduction,”. IEEE Trans. Automat. Contr. AC-20 (1975), 429–432.
12. Villemagne, C.D., Skelton, R.E., “Model Reduction Using a Projection Formulation,”. IEEE Trans. Automat. Contr. AC-46 (1987), 2141–2169.
13. Juang, J.N., Pappa, R.S., “An Eigensystem Realization Algorithm for Modal Parameter Identification and Modal Reduction,”. J. Guidance 8 (1985), 620–627.
14. R. R. Craig, Jr., T. J. Su, and H. M. Kim,“Use of Lanczos Vectors in Structural Dynamics,” Proc. International Conference: 'Spacecraft Structures and Mechanical Testing', Noordwijk, The Netherlands, pp. 187–192 (1988).
15. Paige, C.C., “Practical Use of the Symmetric Lanczos Process with Reorthogonalization,”. BIT 10 (1970), 183–195.
16. Parlett, B.N., Scott, D.S., “The Lanczos Algorithm with Selective Orthogonalization,”. Math. Comp. 33 (1979), 217–238.
17. Nour-Omid, B., Regelbrugge, M.E., “Lanczos Method for Dynamic Analysis of Damped Structural Systems,”. Earthquake Eng. & Struc. Dyn. 18 (1989), 1091–1104.
18. Kim, H.M., Craig, R.R. Jr., “Structural Dynamics Analysis Using An Unsymmetric Block Lanczos Algorithm,”. Int. J. Numer. Methods Eng. 26 (1988), 2305–2318.
19. Brogan, W.L., Modern Control Theory, 2nd Edition, 1985, Prentice-Hall, Inc., Englewood Cliffs, NJ.
20. Craig, R.R. Jr., Su, T.J., Ni, Z., “State-Variable Models of Structures Having Rigid-Body Modes,”. AIAA J. Guidance, Control, and Dynamics 13 (1990), 1157–1160.
21. Craig, R.R. Jr., Structural Dynamics - An Introduction to Computer Methods, 1981, John Wiley & Sons, Inc., N.Y.
22. Balas, M.J., “Feedback Control of Flexible Systems,”. IEEE Trans. Automat. Contr. AC-23 (1978), 673–679.
23. Yam, Y., Johnson, T.L., Lang, J.H., “Flexible System Model Reduction and Control System Design Based Upon Actuator and Sensor Influence Functions,”. IEEE Trans. Automat. Contr. AC-32 (1988), 573–582.
24. T. J. Su and R. R. Craig, Jr.,“Model Reduction and Controller Design of Flexible Structures Using Krylov Subspaces,” 30th AIAA/ASME/ASCE/ AHS Structures, Structural Dynamics and Materials Conference, Mobile, AL, pp.691–700 (1989).