Robustness analysis of multivariable systems with time delays

2001 European Control Conference, ECC 2001

Volumn , Issue , 2001, Pages 1882-1887

  Gunawan, R ^a   Russell, E L ^a   Braatz, R D ^a  

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

Author keywords

infinite dimensional systems; large scale systems; robust control; time delay systems

Indexed keywords

LARGE SCALE SYSTEMS; MULTIVARIABLE SYSTEMS; ROBUST CONTROL; ROBUSTNESS (CONTROL SYSTEMS); TIME DELAY; UNCERTAINTY ANALYSIS;

INFINITE-DIMENSIONAL SYSTEM; LINEAR TIME-INVARIANT SYSTEM; STRUCTURED SINGULAR VALUES; SYSTEMS WITH TIME DELAY; TIME DELAY COMPENSATORS; TIME-DELAY SYSTEMS; TIME-DELAY UNCERTAINTIES; TRANSFORMATION ALGORITHM;

DELAY CONTROL SYSTEMS;

EID: 84947465919     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/ecc.2001.7076196     Document Type: Conference Paper

References (35)

1. G. J. Balas, J. C. Doyle, K. Glover, A. K. Packard, and R. S. R. Smith, Analysis and Synthesis Toolbox (Tools): Matlab Functions for the Analysis and Design of Robust Control Systems. (The MathWorks, Inc., Massachusetts, 1992).
2. R. D. Braatz, B. A. Ogunnaike, and A. P. Featherstone, "Identification, estimation, and control of sheet and film processes, " in Proc. of the IFACWorld Congress, pp. 319-324, (Elsevier Science Inc., New York, 1996).
3. F. M. Callier and C. A. Desoer, "An algebra of transfer functions for distributed linear time-invariant systems, " IEEE Trans. on Circuits and Systems, 25, pp. 651-662, (1978).
4. F. M. Callier and C. A. Desoer, "Simplifications and clarifications on the paper "An algebra of transfer functions for distributed linear time-invariant systems", " IEEE Trans. on Circuits and Systems, 27, pp. 320-323, (1980).
5. R. Y. Chiang and M. G. Safonov, Robust Control Toolbox: For Use With MATLAB. (The MathWorks, Inc., Massachusetts, 1992).
6. C. A. Desoer and Y. T. Wang, "On the generalized Nyquist stability criterion, " IEEE Trans. on Automatic Control, 25, pp. 187-196, (1980).
7. J. C. Doyle, "Analysis of feedback systems with structured uncertainties, " IEE Proc. D, Control Theory & Applications, 129, pp. 242-250, (1982).
8. M. K. H. Fan, A. L. Tits, and J. C. Doyle, "Robustness in the presence of mixed parametric uncertainty and unmodeled dynamics, " IEEE Trans. on Automatic Control, 36, pp. 25-38, (1991).
9. A. P. Featherstone and R. D. Braatz, "Control-oriented modeling of sheet and film processes, " AIChE J., 43, pp. 1989-2001, (1997).
10. A. P. Featherstone, J. G. VanAntwerp, and R. D. Braatz, Identification and Control of Sheet and Film Processes. (Springer Verlag, London, 2000).
11. I. K. Fong and C. R. Jou, "Robust stability of uncertain systems with input delay and output feedback controller, " in Proc. of the 37th Midwest Symposium on Circuits and Systems, pp. 1351-1354, (IEEE Press, New Jersey, 1995).
12. R. Gunawan, "Dimensionality Reduction and Robustness Analysis of Large Scale Systems, M. S. Thesis, University of Illinois, Urbana, Illinois, " (2000).
13. E. M. Heaven, T. M. Kean, I. M. Jonsson, M. A. Manness, K. M. Vu, and R. N. Vyse, "Applications of system identification to paper machine model development and controller design, " in Second IEEE Conf. on Control Applications, pp. 227-233, (IEEE Press, New Jersey, 1993).
14. B. R. Holt and M. Morari, "Design of resilient processing plants - V. The effect of deadtime on dynamic resilience, " Chem. Eng. Sci., 40, pp. 1229-1237, (1985).
15. J. Kogan and P. V. Semenov, "On stability of quasipolynomials with annular uncertainties and interval commensurate delays, " Systems and Control Letters, 33, pp. 11-17, (1998).
16. V. B. Kolmanovskii and V. R. Nosov, Stability of Functional Differential Equations, vol. 180 of Mathematics in Science and Engineering. (Academic Press, New York, 1986).
17. D. Laughlin, M. Morari, and R. D. Braatz, "Robust performance of cross-directional basis-weight control in paper machines, " Automatica, 29, pp. 1395-1410, (1993).
18. H. Li, P. L. Lee, and I. T. Cameron, "Stability and control for systems with state and input time delays: Application to chemical processes, " in Proc. of the European Control Conf., (Karlsruhe, Germany, 1999). Paper F1027-2.
19. X. Li and C. E. de Souza, "Robust stabilization and control of uncertain linear time-delay systems, " in Proc. of the 13th IFAC World Congress, pp. 113-118, (IEEE Press, New Jersey, 1996).
20. J. S. Luo, A. Johnson, and P. P. J. van den Bosch, "Delayindependent robust stability of uncertain linear systems, " Systems and Control Letters, 24, pp. 33-39, (1995).
21. J. S. Luo and P. P. J. van den Bosch, "Independent of delay stability criteria for uncertain linear state space models, " Automatica, 33, pp. 171-179, (1997).
22. T. Mori, "Criteria for asymptotic stability of linear timedelay systems, " IEEE Trans. on Automatic Control, 30, pp. 158-161, (1985).
23. S. I. Niculescu, A. T. Neto, J. M. Dion, and L. Dugard, "Delay-dependent stability of linear systems with delayed states: An LMI approach, " in Proc. of the IEEE Conf. on Decision and Control, pp. 1495-1496, (IEEE Press, New Jersey, 1995).
24. B. A. Ogunnaike, J. P. Lemaire, M. Morari, and W. H. Ray, "Advanced multivariable control of a pilot-plant distillation column, " AIChE J., 29, pp. 632-640, (1983).
25. B. A. Ogunnaike andW. H. Ray, "Multivariable controller design for linear systems having multiple time delays, " AIChE J., 25, pp. 1043-1057, (1979).
26. A. W. Olbrot, "Nonrobustness of the pole placement design under small perturbations in time delays, " in Proc. of the American Control Conf., pp. 76-77, (IEEE Press, New Jersey, 1992).
27. A. Packard and P. Pandey, "Continuity properties of the real/complex structured singular value, " IEEE Trans. on Automatic Control, 38, pp. 415-428, (1993).
28. P. Park, "A delay-dependent stability criterion for systems with uncertain time-invariant delays, " IEEE Trans. on Automatic Control, 44, pp. 876-877, (1999).
29. E. L. Russell and R. D. Braatz, "Analysis of large scale systems with model uncertainty, actuator and state constraints, and time delays, " in AIChE Annual Meeting, (Chicago, Illinois, 1996). Paper 45a.
30. E. L. Russell, C. P. H. Power, and R. D. Braatz, "Multidimensional realizations of large scale uncertain systems for multivariable stability margin computation, " Int. J. of Robust and Nonlinear Control, 7, pp. 113-125, (1997).
31. T. J. Su and C. G. Huang, "Robust stability of delay dependence for linear uncertain systems, " IEEE Trans. on Automatic Control, 37, pp. 1656-1659, (1992).
32. A. Thowsen, "Delay-independent asymptotic stability of linear systems, " IEE Proc. D, Control Theory & Applications, 129, pp. 73-72, (1982).
33. B. Xu, "Comments on "Robust stability of delay dependence for linear uncertain systems", " IEEE Trans. on Automatic Control, 39, p. 2365, (1994).
34. J. Zhang, C. R. Knospe, and P. Tsiotras, "Toward less conservative stability analysis of time-delay systems, " in Proc. of the IEEE Conf. on Decision and Control, pp. 2017-2022, (IEEE Press, New Jersey, 1999).
35. J. Zhang, C. R. Knospe, and P. Tsiotras, "Stability of linear time-delay systems: A delay-dependent criterion with a tight conservatism bound, " in Proc. of the American Control Conf., pp. 1458-1462, (IEEE Press, New Jersey, 2000).