SVD controllers for H2-, H∞- and μ-optimal control

Automatica

Volumn 33, Issue 3, 1997, Pages 433-439

  Hovd, Morten ^a   Braatz, Richard D ^b   Skogestad, Sigurd ^a  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

^b UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

Large scale systems; Linear control systems; Robust control; Singular value decomposition; Structured singular value; Symmetric circulant plants

Indexed keywords

CONTROL SYSTEM SYNTHESIS; INVARIANCE; LARGE SCALE SYSTEMS; LINEAR CONTROL SYSTEMS; MATRIX ALGEBRA; OPTIMAL CONTROL SYSTEMS; PERFORMANCE; PROBABILITY; ROBUSTNESS (CONTROL SYSTEMS); SYSTEMS ANALYSIS; TRANSFER FUNCTIONS;

SINGULAR VALUE DECOMPOSITION; STRUCTURED SINGULAR VALUE; SYMMETRIC CIRCULAR PLANTS;

CONTROL THEORY;

EID: 0031084603     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(96)00167-7     Document Type: Article

References (29)

1. Abraham, R. and J. Lunze (1991). Modelling and decentralized control of a multizone crystal growth furnace. In Proc. European Control Conf., Grenoble, France, pp. 2534-2539.
2. Balas, G. J., J. C. Doyle, K. Glover, A. Packard and R. Smith (1991). μ-Analysis and Synthesis Toolbox User's Guide. MUSYN Inc., Minneapolis, MN.
3. Braatz, R. D., M. L. Tyler, M. Morari, F. R. Pranckh and L. Sartor (1992). Identification and cross-directional control of coating processes. AIChE J. 38, 1329-1339.
4. Braatz, R. D., P. M. Young, J. C. Doyle and M. Morari (1994). Computational complexity of μ calculation. IEEE Trans. Autom. Control, AC-39, 1000-1002.
5. Chen, J. and J. S. Freudenberg (1990). Robust design for ill-conditioned plants with diagonal input uncertainty. In Proc. 28th Allerton Conf. on Communication, Control, and Computing, Monticello, IL, pp. 755-764.
6. Doyle, J. C. (1982). Analysis of feedback systems with structured uncertainties. IEE Proc., Pt D, 129, 242-250.
7. ∞ performance bounds. In Proc. American Control Conf., Boston, MA, pp. 129-134.
8. Freudenberg, J. S. (1989). Analysis and design for ill-conditioned plants. Part 2: Directionally uniform weightings and an example. Int. J. Control, 49, 873-903.
9. Hazewinkel, M. and C. Martin (1983). Symmetric linear systems: an application of algebraic system theory. Int. J. Control, 37, 1371-1384.
10. Hovd, M. and S. Skogestad (1994a). Control of symmetrically interconnected plants. Automatica, 30, 957-973.
11. Hovd, M. and S. Skogestad (1994b). Sequential design of decentralized controllers. Automatica, 30, 1601-1607.
12. Hovd, M., R. D. Braatz and S. Skogestad (1996). Optimalty of SVD controllers. Technical Report, Department of Chemical Engineering, Norwegian University of Science and Technology, Trondheim (available from the Internet on http://www.kjemi.unit.no/~skoge).
13. Hung, Y. S. and A. G. J. MacFarlane (1982). Multivariable Feedback: A Quasi-classical Approach. Lecture Notes in Control and Information Sciences, Vol. 40, Springer-Verlag. Berlin.
14. Lau, H., J. Alvarez and K. F. Jensen (1985). Synthesis of control structures by singular value analysis: dynamic measures of sensitivity and interaction. AIChE J., 31, 427-439.
15. Laughlin, D. L., M. Morari and R. D. Braatz (1993). Robust performance of cross-directional basis-weight control in paper machines. Automatica, 29, 1395-1410.
16. Lee, J. H., R. D. Braatz, M. Morari and A. Packard (1995). Screening tools for robust control structure selection. Automatica, 31, 229-235.
17. Limebeer, D. J. N. (1991). The specification and purpose of a controller design case study. In Proc. 30th IEEE Conference on Decision and Control, Brighton, U.K., pp. 1579-1580.
18. Lin, J. L. (1992). Control system design for robust stability and robust performance. PhD Thesis, University of Leicester, U.K.
19. Lundström, P., S. Skogestad and Z.-Q. Wang (1991). Performance weight selection for h-infinity and μ-control methods. Trans. Inst. Modeling and Control 13, 241-252.
20. Lunze, J. (1986). Dynamics of strongly coupled symmetric composite systems. Int. J. Control, 44, 1617-1640.
21. Lunze, J. (1991). Feedback Control of Large-scale Systems. Prentice-Hall, New York.
22. Martino, R. (1991). Motor-driven cams actuator flexible-lip automatic die. Modern Plastics, 68, 23.
23. Poolla, K. and A. Tikku (1995). Robust performance against time-varying structured perturbations. IEEE Trans. Autom. Control, AC-40, 1589-1602.
24. Shinskey, F. G. (1979). Process Control Systems, 3nd ed. McGraw Hill, New York.
25. Shinskey, F. G. (1984). Distillation Control, 2nd ed. McGraw Hill, New York.
26. Skogestad, S., M. Morari and J. C. Doyle (1988). Robust control of ill-conditioned plants: high-purity distillation. IEEE Trans. Autom. Control, AC-33, 1092-1105.
27. Skogestad, S., P. Lundström and M. Hovd (1989). Control of identical parallel processes. In Proc. AIChE Annual Meeting, San Francisco, CA, Paper 167Ba.
28. Wilhelm, R. G. Jr and M. Fjeld (1983). Control algorithms for cross directional control: the state of the art. In Preprints of 5th IFAC/IMEKO Conf. on Instrumentation and Automation in the Paper, Rubber, Plastics, and Polymerization Industries, Antwerp, Belgium, pp. 139-150.
29. Yaniv, O. and N. Barlev (1990). Robust non iterative synthesis of ill-conditioned plants. In Proc. American Control Conf., San Diego, CA, pp. 3065-3066.