An experimental and computational study of subcriticality, hysteresis and global dynamics for a model adaptive control system

Computers and Chemical Engineering

Volumn 20, Issue SUPPL.2, 1996, Pages

  Frouzakis, Christos E ^a   Adomaitis, Raymond A ^b   Kevrekidis, Ioannis G ^c  

^a ETH ZURICH   (Switzerland)

^b UNIVERSITY OF MARYLAND   (United States)

^c Princeton University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DISCRETE TIME CONTROL SYSTEMS; DYNAMIC RESPONSE; HYSTERESIS; MATHEMATICAL MODELS; MIXERS (MACHINERY); OPERATIONS RESEARCH; PREDICTIVE CONTROL SYSTEMS; PROCESS CONTROL;

SUBCRITICALITY;

ADAPTIVE CONTROL SYSTEMS;

EID: 0029713705     PISSN: 00981354     EISSN: None     Source Type: Journal    
DOI: 10.1016/0098-1354(96)00179-2     Document Type: Article

References (13)

1. Goodwin, G. C., P. J. Ramadge, and P. E. Caines, 1980, Discrete-time multivariable adaptive control, IEEE Trans. Automat. Contr., 25, 449-456.
2. Gumowski I., and C. Mira, 1980, Recurrences and Discrete Dynamic Systems, Lecture Notes in Mathematics, Springer Verlag.
3. Doedel, E. J., 1981, AUTO: a program for the automatic bifurcation analysis of autonomous systems, Cong. Num., 30, 265-284.
4. Goodwin, G. C., and K. S. Sin, 1984, Adaptive Filtering, Prediction, and Control, Prentice-Hall, Englewood Cliffs, NJ.
5. Mareels I. Y., and R. R. Bitmead, 1986, Nonlinear dynamics in adaptive control: chaotic and periodic stabilization, Automation, 22, 641-655.
6. Mareels I. Y., and R. R. Bitmead, 1988a, Nonlinear dynamics in adaptive control: chaotic and periodic stabilization- II analysis, Automatica, 24, 485-497.
7. Mareels I. Y., and R. R. Bitmead, 1988b, Bifurcation effects in robust control, IEEE Trans. Circ. Sys., 35, 835-841.
8. Golden M. P., and B. E. Ydstie, Bifurcations in model reference adaptive control systems, Systems & Control Letters, 11, 413-430.
9. Ydstie B. E., and M. P. Golden, 1988, Chaotic dynamics in adaptive control systems, Proc. IFAC Workshop on Robust Adaptive Control, Newcastle, Australia.
10. Adomaitis, R. A., C. E. Frouzakis, and I. G. Kevrekidis, 1991, On the Dynamics and Global Stability Characteristics of Adaptive Systems. Systems Research Center Technical Report TR 91-100.
11. Frouzakis C. E., 1992, Dynamics of Systems under Control: Quantifying Stability, PhD Thesis, Princeton University.
12. Mira C., D. Fournier-Prunaret, L. Gardini, H. Kawakami, and J. C. Cathala, 1994, Basin Bifurcations of two-dimensional noninvertible maps: fractalization of basins, Int. J. Bif. Chaos, 4, 343-381.
13. Kusch M. G., and B. E. Ydstie, 1994, Drift instabilities and chaos in forecasting and adaptive decision theory, Physica D, 72, 309-323.