Frequency-based controller design for a class of nonlinear systems

International Journal of Robust and Nonlinear Control

Volumn 9, Issue 12, 1999, Pages 825-840

  Shah, Minesh A ^a   Franchek, Matthew A ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; CONSTRAINT THEORY; CONTROL EQUIPMENT; CONTROL SYSTEM SYNTHESIS; FEEDBACK CONTROL; INTERNAL COMBUSTION ENGINES; MATHEMATICAL MODELS; ROBUSTNESS (CONTROL SYSTEMS); SPEED CONTROL; UNCERTAIN SYSTEMS;

FREQUENCY BASED CONTROLLER; FREQUENCY DOMAIN CONSTRAINT; QUASILINEARIZED CLOSED LOOP SYSTEM;

NONLINEAR SYSTEMS;

EID: 0033208944     PISSN: 10498923     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1239(199910)9:12<825::AID-RNC437>3.0.CO;2-W     Document Type: Article

References (27)

1. Schetzen, M., The Volterra and Weiner Theories of Nonlinear Systems, McGraw-Hill, New York, 1980.
2. Weiner, D. D. and J. W. Spina, Sinusoidal Analysis and Modeling of Weakly Nonlinear Circuits, Van Nostrand Reinhold, New York, 1980.
3. Billings, S. A., 'Identification of nonlinear systems', IEEE Proc. Part D: Control Theory and Appl., 127, 272-285 (1980).
4. Bendat, J. S., Nonlinear System Analysis and Identification from Random Data, Wiley, New York, 1990.
5. Narendra, K. S. and P. G. Gallman, 'An iterative method for the identification of nonlinear systems using the Hammerstein model', IEEE Trans. Automat. Control, AC-12, 546-550 (1996).
6. Chang, F. H. and R. Luus, 'A noniterative method for identification using Hammerstein model', IEEE Trans. Automat. Control, AC-16, 464-468 (1971).
7. Hsia, T. C., 'A multi-stage least squares method for identifying Hammerstein model of nonlinear systems', Proc. IEEE Conf. on Decision and Control, 1976, pp. 934-936.
8. Billings, S. A. and S. Y. Fakhouri, 'Nonlinear system identification using the Hammerstein model', Int. J. System Sci., 10, 567-578 (1979).
9. Greblicki, W. and M. Pawlak, 'Identification of discrete Hammerstein system using kernel regression estimate', IEEE Trans. Automat. Control, AC-31, 74-77 (1987).
10. Lang, Z., 'Nonparametric Polynomial Identification Algorithm for the Hammerstein System', IEEE Trans. Automat. Control, 42, 1435-1441 (1997).
11. Vandersteen, G., Y. Rolain and J. Schoukens, 'Non-parametric estimation of the frequency-response functions of the linear blocks of a Wiener-Hammerstein model', Automatica, 33, 1351-1355 (1997).
12. Lakshminarayanan, S., S. L. Shah and K. Nandakumar, 'Identification of Hammerstein models using multivariate statistical tools', A.I.Ch.E., 50, 3599-3613 (1995).
13. Vincent, T. L., P. P. Khargonekar, B. A. Rashap, F. Terry and M. Elta, 'Nonlinear system identification and control of a reactive ion etcher', Proc. American Control Conf., 1994, pp. 902-906.
14. Zhu, Q. M. and K. Warwick, 'Deadbeat controller for a class of nonlinear systems', Control Theory Adv. Technol., 7, 101-116 (1991).
15. Zhu, Q. M., K. Warwick and J. L. Douce, 'Adaptive general predictive controller for nonlinear systems', IEE Proc. Part D: Control Theory Appl., 138, 33-40 (1991).
16. Quarti, H. and T. F. Edgar, 'The use of approximation models and exact linearization for control of nonlinear processes', Proc. American Control Conf., 1993, pp. 2268-2272.
17. Hwang, C. L. and J. C. Hsu, 'Nonlinear control design for a Hammerstein model system', IEE Proc. Control Theory Appl., 142, 277-285 (1995).
18. Hamilton, G., 'Robust idle speed control of internal combustion engines', M. S. M. E. Thesis, Purdue University, 1996.
19. Hsu, J. C. and A. U. Meyer, Modern Control Principles and Applications, McGraw-Hill, New York, 1968.
20. Atherton, D. P., Nonlinear Control Engineering, Von Nostrand Reinhold, New York, 1975.
21. Bendat, J. S. and A. G. Piersol, Engineering Applications of Correlation and Spectral Analysis, Wiley, New York, 1980.
22. Bode, H. W., Network Analysis and Feedback Amplifier Design, D. Van Nostrand Company, New York, 1945.
23. ∞ synthesis methods for SISO regulating systems', J. Dyn. Systems Meas. Control, 118, 126-131 (1996).
24. Gibson, J. E., Nonlinear Automatic Control, McGraw-Hill, New York, 1963.
25. Gelb, A. and W. E. Vander Velde, Multiple-Input Describing Functions and Nonlinear System Design, McGraw-Hill, New York.
26. Jayasuriya, S., 'QFT type design for maximizing tolerable disturbances in structured uncertain systems', Int. J. Control, 56, 67-85 (1992).
27. Papoulis, A., The Fourier Integral and its Applications, McGraw-Hill, New York, 1962.