Controller design with real parametric uncertainty

International Journal of Control

Volumn 65, Issue 3, 1996, Pages 469-509

  Young, Peter M ^a  

^a Department of Mechanical Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL COMPLEXITY; COMPUTATIONAL METHODS; CONTROL EQUIPMENT; CONTROL SYSTEM ANALYSIS; CONVERGENCE OF NUMERICAL METHODS; LARGE SCALE SYSTEMS; OPTIMAL CONTROL SYSTEMS; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS);

COMPLEX SYNTHESIS; STRUCTURED COMPLEX UNCERTAINTY;

CONTROL SYSTEM SYNTHESIS;

EID: 0030257908     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207179608921707     Document Type: Article

References (37)

1. Balas, G. J. Chu, C., and Doyle, J. C., 1989, Vibration damping and robust control of the JPL/AFAL experiment using μ-synthesis. Proceedings of the 28th Conference on Decision and Control, Tampa, Florida, U.S.A., pp. 2689-2694.
2. Balas, G. J., and Doyle, J. C., 1990, Robustness and performance tradeoffs in control design for flexible structures. Proceedings of the 29th Conference on Decision and Control, Honolulu, Hawaii, U.S.A., pp. 2999-3010.
3. Balas, G., Doyle, J., Glover, K., Packard, A., and Smith, R., 1991, The μ Analysis and Synthesis Toolbox (Natick, Massachusetts, U.S.A.: MathWorks and Minneapolis, Minnesota, U.S.A.: Musyn).
4. Balas, G. J., Packard, A., Doyle, J. C., Glover, K., and Smith, R., 1991, Development of advanced control design software for researchers and engineers. Proceedings of the American Control Conference, Boston, Massachusetts, U.S.A., pp. 996-1001.
5. Balas, G. J., and Young, P. M., 1995, Control design for variations in structural natural frequencies. AlAA Journal of Guidance, Control and Dynamics, 18, 325-332.
6. Braatz, R. D., Young, P. M., Doyle, J. C., and Morari, M., 1994, Computational complexity of p calculation. IEEE Transactions on Automatic Control, 39, 1000-1002.
7. Buschek, H., and Calise, A. J., 1995a, μ controllers: mixed and fixed. AlAA Guidance, Navigation and Control Conference; 1995 b, Hypersonic flight control system design using fixed order robust controllers. Sixth International Aerospace Planes and Hypersonic Technologies Conference.
8. Doyle, J., 1982, Analysis of feedback systems with structured uncertainty. Proceedings of the Institution of Electrical Engineers, Pt D, 129, 242-250; 1985, Structured uncertainty in control system design. Proceedings of the 24th IEEE Conference on Decision and Control, pp. 260-265; 1992, Private communication.
9. Doyle, J. C., Francis, B. A., and Tannenbaum, A. R., 1992, Feedback Control Theory (New York: Macmillan).
10. x control problems. IEEE Transactions on Automatic Control, 34, 831-847.
11. El Ghaoui, L., Balakrishnan, V., Feron, E., and Boyd, S., 1992, On maximizing a robustness measure for structured nonlinear perturbations. Proceedings of the American Control Conference, pp. 2923-2924.
12. Fan, M. K. H., Tits, A. L., and Doyle, J. C., 1991, Robustness in the presence of mixed parametric uncertainty and unmodeled dynamics. IEEE Transactions on Automatic Control, 36, 25-38.
13. ∞ Control Theory (New York: Springer-Verlag).
14. Little, J. N., and Shure, L., 1988, The Signal Processing Toolbox (Natick, Massachusetts, U.S.A.: MathWorks).
15. Megrhtsky, A., 1992, Power distribution approach in robust control. Technical Report, Department of Mathematics, Royal Institute of Technology, Stockholm, Sweden.
16. Oppenheim, A. V., and Schaffer, R. W., 1975, Digital Signal Processing (New Jersey, U.S.A.: Prentice Hall).
17. Packard, A. K., and Doyle, J. C., 1993, The complex structured singular value. Automatica, 29, 71-109.
18. Packard, A. K., and Pandey, P., 1993, Continuity properties of the real/complex structured singular value. IEEE Transactions on Automatic Control, 38, 415-428.
19. Packard, A. K., Zhou, K., Pandey, P., Leonhardson, J., and Balas, G., 1992, Optimal, constant I/O similarity scaling for Full-Information and State Feedback Control Problems. Systems and Control Letters, 19, 271-280.
20. Rantzer, A., and Megretsky, A., 1992, A convex parameterization of robustly stabilizing controllers. Technical Report, Department of Mathematics, Royal Institute of Technology, Stockholm, Sweden.
21. Rohn, J., and Poljak, S., 1992, Checking robust nonsingularity is NP-hard. Mathematics of Control, Signals and Systems, 6, 1-9.
22. Safonov, M. G., 1986, Optimal diagonal scaling for Infinity norm optimization. Systems and Control Letters, 7, 257-260.
23. ∞-synthesis without curve fitting. Control and Dynamic Systems (Academic Press).
24. Safonov, M. G., Goh, K. C., and Ly, J. H., 1994, Control system synthesis via bilinear matrix inequalities. Proceedings of the American Control Conference, pp. 45-49.
25. ∞ optimal control problem. Systems and Control Letters, 10, 155-158.
26. Shamma, J. S., 1994, Robust stability with time-varying structured uncertainty. IEEE Transactions on Automatic Control, 39, 714-724.
27. Stein, G., and Doyle, J. C., 1991, Beyond singular values and loop shapes. Journal of Guidance, Control and Dynamics, 14, 5-16.
28. Tannenbaum, A. R., 1980, Feedback stabilization of linear dynamical plants with uncertainty in the gain factor. International Journal of Control, 32, 1-16.
29. Tits, A.L., and Fan, M. K. H., 1995, On the small p theorem. Automatica, 31, 1199-1201.
30. Young, P. M., 1993, Robustness with parametric and dynamic uncertainty. Ph.D. thesis, California Institute of Technology.
31. Young, P. M., and Astrom, K. J., 1994, μ meets Bode. Proceedings of the American Control Conference, pp. 1223-1227.
32. Young, P. M., and Doyle, J. C., 1990, Computation ofp with real and complex uncertainty. Proceedings of the 29th Conference on Decision and Control, pp. 1230-1235.
33. Young, P. M., Newlin, M. P., and Doyle, J.C., 1991, μ analysis with real parametric uncertainty. Proceedings of the 30th IEEE Conference on Decision and Control, pp. 1251-1256.
34. Young, P. M., Newlin, M. P., and Doyle, J. C., 1992, Practical computation of the mixed n problem. Proceedings of the American Control Conference, pp. 2190-2194.
35. Young, P.M., and Rantzer, A., 1996, Analysis and design for systems with uncertain parameters, in preparation.
36. Zames, G., 1966, On the input-output stability of nonlinear time-varying feedback systems, parts I and II. IEEE Transactions on Automatic Control, 11, 228-238 and 465-476.
37. Zhou, K., Doyle, J., and Glover, K., 1996, Robust and Optimal Control (Upper Saddle River, New Jersey, U.S.A.: Prentice Hall).