An interpolation approach to multiobjective ℋ∞ design

International Journal of Control

Volumn 65, Issue 4, 1996, Pages 699-720

  Rotea, Mario A ^a   Prasanth, Raw K ^a  

^a Purdue University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; DESIGN; FREQUENCY RESPONSE; INTERPOLATION; LINEAR CONTROL SYSTEMS; MATRIX ALGEBRA; TRANSFER FUNCTIONS;

LINEAR CONTROLLER;

CONTROL EQUIPMENT;

EID: 0030288915     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207179608921717     Document Type: Article

References (23)

1. Ball, J. A., and Rakowski, M., 1992, Interpolation by rational matrix functions and stability of feedback systems: 2 block case. Preprint.
2. Ball, J. A., Gohberg, I., and Kaashoek, M., 1993, control and interpolation for time varying systems. Preprint.
3. Ball, J. A., Gohberg, L., and Rodman, L., 1990, Interpolation of Rational Matrix Functions (Boston, Massachusetts, U.S.A.: Birkhauser).
4. Boyd, S. P., Balakrishnan, V., Barratt, C., Khraishi, N., Li, X., Meyer, D., and Norman, S., 1988, A new CAD method and associated architectures for linear controllers. IEEE Transactions on Automatic Control, 33, 268-283.
5. Chiang, R. Y., and Safonov, M. G., 1988, Robust-Control Toolbox: User’s Guide (South Natick, Massachusetts, U.S.A.: The MathWorks).
6. Dahleh, M. A., and Diaz-Bobillo, I. J., 1995, Control of Uncertain Systems (Englewood Cliffs, New Jersey, U.S.A.: Prentice-Hall).
7. Dorato, P., 1990, A survey of robust multiobjective design techniques. In Control of Uncertain Dynamic Systems (Ann Arbor, Michigan, U.S.A.: CRC Press), pp. 249-259.
8. Gahinet, P., Nemirovskii, A., Laub, A. J., and Chilalj, M., 1995, The LMI Control Toolbox (South Natick, Massachusetts, U.S.A.: The MathWorks).
9. Helton, J. W., and Merino, O., 1990, Numerical results on control. Proceedings of the American Control Conference, San Diego, California, U.S.A., pp. 3083-3084.
10. Holohan, A. M., and Safonov, M. G., 1992, Nominal and robust loop shaping. Proceedings of the American Control Conference, Chicago, Illinois, U.S.A., pp. 901-905.
11. Hung, Y. S., and Pokrud, B., 1992, An approach to feedback design with two objective functions. IEEE Transactions on Automatic Control, 37, 820-824.
12. Juang, J. C., and Jonckheere, E. A., 1988, Vector valued versus scalar valued figures of merit in feedback system design. Journal of Mathematical Analysis and Applications, 133, 331-354.
13. Khargonekar, P. P., Rotea, M. A., and Shivshankar, N., 1993, Exact and approximate solutions to a class of multiobjective controller synthesis problems. Proceedings of the American Control Conference, San Francisco, California, U.S.A., pp. 1602-1606.
14. Nemirovskii, A., and Gahfnet, P., 1994, The projective method for solving linear matrix inequalities. Proceedings of the American Control Conference, Baltimore, Maryland, U.S.A., pp. 840-844.
15. Nesterov, Yu., and Nfmirovskii, A., 1994, Interior Point Polynomial Methods in Convex Programming (Philadelphia, Pennsylvania, U.S.A.: SIAM).
16. Prasanth, R. K., 1996, Multiobjective control. Ph.D. thesis, Purdue University, West Lafayette, Indiana, U.S.A.
17. Rotea, M. A., 1993, The generalized control problem. Automatica, 29, 373-385.
18. Rotea, M. A., and Khargonekar, P. P., 1991, optimal control with a constraint: the state feedback case. Automatica, 27, 307-316.
19. Rotea, M.A., and Prasanth, R. K., 1994, The p performance measure: new tool for controller design with multiple frequency domain specifications. Proceedings of the American Control Conference, Baltimore, Maryland, U.S.A., pp. 430-435.
20. Scherer, C., 1995, M ultiobjective control. IEEE Transactions on Automatic Control, 40, 1054-1062.
21. Ting, T., and Poolla, K., 1988, Upper bounds and approximate solutions for multidisk problems. IEEE Transactions on Automatic Control, 33, 783-786.
22. Vandenberghe, L., and Boyd, S. P., 1994, Positive definite programming. Preprint.
23. Yan, W., Bitmead, R. R., and Anderson, B. D. O., 1990, Design problems for sensitivity and complementary sensitivity. Systems Control Letters, 15, 137-146.