H∞ model matching problem for singularly perturbed systems

Automatica

Volumn 32, Issue 3, 1996, Pages 369-377

  Oloomi, Hossein M ^a   Sawan, Mahmoud E ^b  

^a PURDUE UNIVERSITY FORT WAYNE   (United States)

^b Wichita State University   (United States)

Author keywords

H control; Model matching problem; Singular perturbations; Suboptimal control; Two frequency scale systems

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; COMPUTATIONAL METHODS; MATHEMATICAL MODELS; PROBLEM SOLVING;

MODEL MATCHING PROBLEM; SINGULAR PERTURBATIONS; SUBOPTIMAL TWO FREQUENCY SCALE SYSTEMS;

OPTIMAL CONTROL SYSTEMS;

EID: 0030109828     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/0005-1098(95)00170-0     Document Type: Article

References (22)

1. ∞ norm: parametrization of all suboptimal solutions. Int. J. Control, 46, 785-816.
2. Chatellin, F. (1983). Spectral Approximation of Linear Operators. Academic Press, New York.
3. Dorato, P. (1987). Robust Control. IEEE Press, New York.
4. ∞ control problems. IEEE Trans. Autom. Control AC-34, 831-847.
5. ∞ Control Theory. Springer-Verlag, Heidelberg.
6. Francis, B. A. and J. C. Doyle (1987). Linear control theory with an H∞ optimality criterion. SIAM J. Control Optim., 25, 815-844.
7. Kato, T. (1976). Perturbation Theory for Linear Operators, 2nd ed. Springer-Verlag, Berlin.
8. Khalil, H. K. (1987). Output feedback control of linear two-time-scale systems. IEEE Trans. Autom. Control, AC-32, 784-792.
9. ∞ control of two-time-scale systems. Syst. Control Lett., 19, 35-42.
10. Kokotovic, P., K. Khalil and J. O'Reilly (1986). Singular Perturbation Methods in Control: Analysis and Design. Academic Press, London.
11. Luse, D. W. (1986). Frequency domain results for systems with multiple time scales. IEEE Trans. Autom. Control, AC-31, 918-924.
12. Luse, D. W. (1988). State-space realization of multiple-frequency-scale systems. IEEE Trans. Autom. Control, AC-33, 185-187.
13. ∞ disk problems. SIAM J. Control Optim., 27, 814-835.
14. Luse, D. W. and H. K. Khalil (1985). Frequency domain results for systems with slow and fast dynamics. IEEE Trans. Autom. Control, AC-30, 1171-1179.
15. Oloomi, H. M. (1995). Nevanlinna-Pick interpolation for two freqeuncy scale systems. IEEE Trans. Autom. Control, AC-40, 169-173.
16. Oloomi, H. M. and M. E. Sawan (1988). Spectral approximation of almost block-triangular operators and Hankel norm approximation of two frequency scale transfer matrices. Proc. of Allerton Conf., Monticello, IL, pp. 903-904.
17. Oloomi, H. and M. E. Sawan (1989). Suboptimal model-matching problem for two frequency scale transfer functions. In Proc. American Control Conf., Pittsburgh, PA, pp. 2190-2191.
18. Oloomi, H. and M. E. Sawan (1991). An algorithm for computing the two frequency scale model matching compensator. In Proc. American Control Conf., Boston, MA, pp. 1640-1641.
19. Oloomi, H. M. and M. E. Sawan (1995). Characterization of zeros in two-frequency-scale systems. IEEE Trans. Autom. Control, AC-40, 92-96.
20. ∞ optimal control for measurements. Automatica, 29, 401-423.
21. ∞ optimal control for measurements. IEEE Trans. Autom. Control, AC-39, 280-299.
22. Silverman, L. and M. Bettayeb (1980). Optimal approximation of linear systems. In Proc. JACC, San Francisco, CA, FA8-A.