Singular perturbation approximation of balanced systems

International Journal of Control

Volumn 50, Issue 4, 1989, Pages 1379-1405

  Liu, Yi ^a   Anderson, Brian D O ^a  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEMS, DISCRETE TIME; MATHEMATICAL TECHNIQUES; SYSTEM STABILITY;

BALANCED SYSTEMS; BILINEAR MAPPING; CONTINUOUS TIME SYSTEM; DIRECT TRUNCATION; REDUCED ORDER SYSTEM; SINGULAR PERTURBATION APPROXIMATION;

CONTROL SYSTEMS, LINEAR;

EID: 0024750490     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207178908953437     Document Type: Article

References (13)

1. AI-Saggaf, U. M., 1986, On model reduction and control of discrete time systems. Ph.D. thesis, Department of Electrical Engineering, Stanford University.
2. AI-Saggaf, U. M., and Franklin, G. F., 1986, On model reduction. Proceedings of the 25th Conference on Decision and Control, Athens, Greece, 1064-1069.
3. Enns, D. F, 1984a, Model reduction for control systems design. Ph.D. thesis, Department of Aeronautics and Astronautics, Stanford University; 1984 b, Model reduction with balanced realizations: an error bound and a frequency weighted generalization. Proceedings of the 23rd Conference on Decision and Control, Las Vegas, U.S.A., pp. 127-132.
4. Fernando, K. V., and Nicholson, H., 1982a, Singular perturbation model reduction of balanced system. I.E.E.E. Transactions on Automatic Control, 27, 466-468; 1982 b, Singular perturbational model reduction in the frequency domain. I.E.E.E. Transactions on Automatic Control, 27, 969-970; 1983 a, On the structure of balanced and other principal representations of S1SO systems. I.E.E.E. Transactions on Automatic Control., 28, 228-231; 1983 b, Singular perturbational approximations for discrete-time balanced systems. I.E.E.E. Transactions on Automatic Control., 28, 240-242; 1983 c, Reciprocal transformations in balanced model-order reduction. Proceedings of the Institution of Electrical Engineers, Pt D, 130, 359-362.
5. Glover, K., 1984, All optimal Hankel-norm approximations of linear multivariable systems and their L∞-error bounds. International Journal of Control, 39, 1115-1193.
6. Jamshidi, M., 1981, An overview on the aggregation of large-scale systems. Preprints of 8th I FAC World Congress, Paper No. 44.1, Kyoto, Japan.
7. Kailath, T, 1980, Linear Systems (Englewood Cliffs, New Jersey: Prentice-Hall).
8. Kokotovic, P. V., O'Malley, R. E., and Sannuti, P., 1976, Singular perturbations and order reduction in control theory an overview. Automatica, 12, 123-132.
9. Moore, B. C., 1982, Principal component analysis in linear systems: controllability, observability, and model reduction. I.E.E.E. Transactions on Automatic Control, 26, 17-32.
10. Pernebo, L., and Silverman, L. M., 1982, Model reduction via balanced state space representations. I.E.E.E. Transactions on Automatic Control, 27, 382-387.
11. Saksena, V. R., O'Reilly, J., and Kokotovic, P. V., 1984, Singular perturbations and time-scale methods in control theory: survey 1976-1983. Automatica, 20, 273-293.
12. Santiago, J. M., and Jamshidi, M., 1986, On the extensions of the balanced approach for model reduction. Control Theory and Advanced Technology, 2, 207-226.
13. Sreeram, V., and Agathoklis, P., 1989, Model reduction using balanced realizations with improved low order frequency behaviour. Systems and Control tetters, 12, 33-38.