Model reductions using a projection formulation

International Journal of Control

Volumn 46, Issue 6, 1987, Pages 2141-2169

  De Villemagne, Christian ^a   Skelton, Robert E ^b  

^a Section Simulation ^*  (France)

^b PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES - MATRIX ALGEBRA; OPTIMIZATION;

MODEL REDUCTION; POWER SPECTRAL DENSITY;

CONTROL SYSTEMS;

EID: 0023538563     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207178708934040     Document Type: Article

References (48)

1. Akaike, A., 1975, Markovian representation of stochastic processes by canonical variables. SIAM J. Control, 13, 162.
2. Anderson, B. D. O., 1985, linear controller approximation: a method with bounds. Proc. IFAC Workshop on Model Error Concepts and Compensation, Boston, pp. 63-68.
3. Anderson, B. D. O., and Skelton, R. E., 1988, I.E.E.E. Trans. Circuits Syst., to be published.
4. Aoki, M., I.E.E.E. Trans. Autom. Control, 13, 246.
5. Bernstein, D. S., and Hyland, D. C, 1985, I.E.E.E. Trans. Autom. Control, 31, 1201
6. Bertrand, P., Duc, G., and Michailesco, G., 1985, RAIRO, 19, 131.
7. Chunag, S. S., 1970, Electron. Lett., 6, 861.
8. Davison, E. J., and Gesing, W., 1978, Alternatives for Linear Multivariable Control, National Engineering Consortium Inc., Chicago.
9. Decoster, M., and Canwenberghe, A. R., 1975, Journal A, 17, 68, 125.
10. Decoster, M., Noldus, E., and Van Canwenberghe, 1976, RAIRO, 10, 47.
11. Desai, U. B., and Banerjee, S., 1984, A reduced order controller: canonical correlation analysis of deterministic stochastic processes. American Control Conf., 1, 160.
12. Desai, U. B., Pal, D., and Kirkpatrick, R. D., 1985, Int. J. Control, 42, 821.
13. Eitelberg, E., 1981, Int. J. Control, 34, 1113; 1982, I.E.E.E. Trans. Autom. Control, 27, 1000.
14. Elrazaz, Z., and Sinha, N. K., 1981, Can. elect. Engng J., 6, 34.
15. Enns, D. E, 1984, Model reduction via balanced realizations: an error bound and a frequency weighing generalization. Proc. 23rd Conf. On Decision and Control, Las Vegas, NV, p.570.
16. Galfand, I. M., and Yagham, A. M., 1959, Am. Math. Soc. Trans., 12, 199.
17. Garg, S., 1986, Private correspondence.
18. Glover, K., 1984, Int. J. Control, 39, 1115.
19. Hicken, J., and Sinha, N. K., 1976, a new method for reducing multivariable systems. 7th Annual Conf. On Modeling and Simulation, Pittsburgh, pp. 259-263.
20. Hutton, M. E, 1977, 8th Annual Conf. On Modeling and Simulation, Pittsburgh, pp. 311-315.
21. Hutton, M. E, and Friedland, B., 1975, I.E.E.E. Trans. Autam. Control, 20, 329.
22. Hwang, C, and Chen, M., 1986, I.E.E.E. Trans. Autom. Control, 31, 648.
23. Hyland, D. C, and Bernstein, D. S., 1985, I.E.E.E. Trans. Autom. Control, 30, 1201.
24. Kung, S., and Lin, D., 1981, I.E.E.E. Trans. Autom. Control, 26, 832.
25. Kwong, C P., 1982, Int. J. Control, 35, 965.
26. Latham, G. A., and Anderson, B. D.O., 1985, Syst. Control Lett., 5, 229.
27. Lin, J. M., and Han, K. W., 1986, I.E.E.E. Trans. Autom. Control, 31, 567.
28. Lu, W. S., and Lee, E. B., 1986, Model reduction via a quasi-Kalman decomposition. Proc. 23rd Conf. On Decision and Control, Las Vegas, NV, p. 584.
29. Ly, U., and Bryson, A. E., 1985, Automatica, 21, 315.
30. Mahmoud, M. S., 1982, Proc. Instn elect. Engrs, Pt D, 129, 129.
31. Moore, B. C., 1981, I.E.E.E. Trans. Autom. Control, 26, 17.
32. Mullis, C T., and Roberts, R. A., 1976, I.E.E.E. Trans. Acoust., Speech Signal Process., 24, 226.
33. Nagaoka, H., 1986, Trans. IECE of Japan, 569, 694 (in Japanese).
34. Pal, J., 1986, Int. J. Control, 43, 257.
35. Pernebo, L., and Silvermann, L. M., 1982, I.E.E.E. Trans. Autom. Control, 27, 382.
36. Rao, C. R., 1979, J. Multivariate Analysis, 9, 362.
37. Rao, C. R., and Mitra, P., 1971, Generalized Inverse of Matrices and its Applications (New York: Wiley).
38. Shamash, Y, 1973, Continued fraction methods for the reduction of linear time invariant systems. I.E.E.E. Conf. Publication No. 96, pp. 220-227; 1975 a, Electron. Lett., 16, 385;1975 b, Int. J. Control, 21, 257.
39. Skelton, R. E., and Yousuff, A., 1983, Int. J. Control, 37, 285.
40. Sugimato, S., Kaimo, E., and Mori, Y., 1985, I.E.E.E. Control 85 Conf. Publication No. 25, Vol. 2, p.340.
41. Tanguy, G. D., Borne, P., and Fossard, A., 1985, RAIRO, 19, 169.
42. Verriest, E. L., and Kailath, T., 1983, I.E.E.E. Trans. Autom. Control, 28, 833.
43. Villemagne, C. de, and Skelton, R. E., 1987, Controller reduction using canonical interactions, Proc. I.E.E.E. Conf. On Decision and Control, Los Angeles.
44. Warwick, K., 1985, weighting factor functions for reduced order models. I.E.E.E. Control 85. Conf. Publication No. 252, Vol. 2, p. 206.
45. Wilson, D. A., 1984, I.E.E.E. Trans. Autom. Control, 29, 162.
46. Yousuff, A., 1983, Covariance equivalent realizations: developments and applications to model and reduction controller. Ph.D. Thesis, Purdue University.
47. Yousuff, A., and Skelton, R. E., 1984, I.E.E.E. Trans. Autom. Control, 29, 520.
48. Yousuff, A., Wagle, D. A., and SKELTON, R. E., 1985, J. math. Analysis Applic., 105, 91.