Singular Perturbational Model Reduction of Balanced Systems

IEEE Transactions on Automatic Control

Volumn 27, Issue 2, 1982, Pages 466-468

  Fernando, K Vincenza ^a   Nicholson, H ^a  

^a UNIVERSITY OF SHEFFIELD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001249457     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/TAC.1982.1102932     Document Type: Article

References (13)

1. P.V. Kokotovic, R.E. O'Malley, and P. Sannuti, “Singular perturbations and order reduction in control theory— An overview.” Automatica. vol 12. pp. 123–132. 1976.
2. N.R. Sandell. Jr., P. Varaiya. M. Athans, and M.G. Safonov, “Survey of decentralized control methods for large scale systems,” IEEE Trans. Automat. Contr., vol. AC-23, pp. 108–128. 1978.
3. H. Nicholson. Structure of Interconnected Systems. London: Peregrinus. 1978.
4. K.V.M. Fernando and H. Nicholson, “Karhunen-Loeve expansion with reference to singular-value decomposition and separation of variables,” Proc. IEE, part D. vol. 127, pp. 204–206. 1980.
5. D. Teneketzis and N.R. Sandell, Jr., “Linear regulator design for stochastic systems by a multiple time-scales method,” IEEE Trans. Automat. Contr., vol. AC-22, pp. 615–621. 1977.
6. B.C. Moore, “Principal component analysis in linear systems: Controllability, observability, and model reduction,” IEEE Trans. Automat. Contr., vol. AC-26, pp. 17–32. 1981.
7. K.V. Fernando and H. Nicholson, “On the structure of balanced and other principal representations of SISO systems.” IEEE Trans. Automat. Contr., to be submitted.
8. L. Pernebo and L.M. Silverman, “Balanced systems and model reduction,” in Proc. IEEE Conf. Decision and Contr., Fort Lauderdale. FL, Dec. 1979, pp. 865–867.
9. R.W. Cottle, “Manifestations of the Schur complement,” Linear Algebra and its Appl., vol. 8, pp. 189–211. 1974.
10. D.R. Brillinger, Time Series: Data Analysis and Theory. New York: Holt. Rinehart & Winston. 1974.
11. M. Aoki, “Control of large-scale dynamic systems by aggregation,” IEEE Trans. Automat. Contr., vol. AC-13. pp. 246–253. 1968.
12. R. E. O'Malley, Jr. and L.R. Anderson, “Singular perturbations, order reduction, and decoupling of large scale systems,” in Numerical Analysis of Singular Perturbation Problems, P.W. Hemker and J.J.H. Miller. Eds. London: Academic. 1979.
13. A.J. Calise, “Singular perturbation methods for variational problems in aircraft flight,” IEEE Trans. Automat. Contr., vol. AC-21, pp. 345–353, 1976.