Linear control of nonlinear systems: Interplay between nonlinearity and feedback

AIChE Journal

Volumn 48, Issue 9, 2002, Pages 1957-1980

  Eker, S Alper ^a   Nikolaou, Michael ^a  

^a UNIVERSITY OF HOUSTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; COMPUTER SIMULATION; FEEDBACK CONTROL; LINEAR CONTROL SYSTEMS;

NONLINEAR PROCESS;

NONLINEAR SYSTEMS;

CONTROL SYSTEM; FEEDBACK MECHANISM; NON-LINEAR SYSTEM;

ARTICLE; CALCULATION; COMPUTER SIMULATION; DYNAMICS; FLOW RATE; LINEAR SYSTEM; METHODOLOGY; NONLINEAR SYSTEM; TEMPERATURE; THEORY;

EID: 0036769905     PISSN: 00011541     EISSN: None     Source Type: Journal    
DOI: 10.1002/aic.690480912     Document Type: Article

References (38)

1. Allgöwer, F., "Definition and Computation of a Nonlinearity Measure," Proc. of Nonlinear Control System Design Symp., NOLCOS95, Pergamon, Oxford, UK, p. 257 (1996).
2. Banerjee, A., Y. Arkun, B. Ogunnaike, and R. Pearson, "Estimation of Nonlinear Systems Using Linear Multiple Models," AIChE J., 43, 1204 (1997).
3. Cao, S. G., N. W. Rees, and G. Feng, "Analysis and Design for a Class of Complex Control Systems. 1. Fuzzy Modelling and Identification," Automatica, 33, 1017 (1997).
4. Chen, C. L., S. H. Hsu, W. K. Lin, and T. C. Wang, "Identification of Multiple Linear Models for Nonlinear Processes," J. Chin. Inst. Chem. Eng., 31, 283 (2000).
5. Chen, H., A. Kremling, and F. Allgöwer, "Nonlinear Predictive Control of a Benchmark CSTR," Proc. 3rd European Control Conf., ECC95, Rome, Italy (1995).
6. Chikkula, Y., J. H. Lee, and B. A. Ogunnaike, "Dynamically Scheduled MPC of Nonlinear Processes Using Hinging Hyperplane Models," AIChE J., 44, 2658 (1998).
7. Choi, J., and V. Manousiouthakis, "On a Measure of Bounded Input/Initial State Bounded Output Stability Over Ball," Chem. Eng. Sci., 55, 6059 (2000).
8. Desoer, C. A., and M. Vidyasagar, Feedback Systems: Input-Output Properties, Academic Press (1975).
9. Desoer, C. A., and Y.-T. Wang, "Foundations of Feedback Theory for Nonlinear Dynamical Systems," IEEE Trans. Circ. Syst., Vol. CAS-27, 2, 104 (1980).
10. Dullerud, G. E., and F. Paganini, A Course in Robust Control Theory: A Convex Approach, Springer (2000).
11. Green, M., and J. N. Limebeer, Linear Robust Control, Prentice Hall, Englewood Cliffs, NJ (1995).
12. Guay, M., "Measurement of Nonlinearity in Chemical Process Control," PhD Thesis, Queen's University, Kingston, Ont., Canada (1996).
13. Guay, M., J. McLellan, and D. W. Bacon, "Measurement of Nonlinearity in Chemical Process Control Systems: the Steady State Map," Can. J. Chem. Eng., 73, 868 (1995).
14. Helbig, A., W. Marquardt, and F. Allgöwer, "Nonlinearity Measures: Definition, Computation and Applications," J. of Process Control, 10, 113 (2000).
15. ∝," IEEE Trans. Auto. Contr., 1163 (1991).
16. ∝," IEEE Trans. Auto. Contr., 604 (1992).
17. Henson, M. A., and D. E. Seborg, "Input-Output Linearization of General Nonlinear Process," AIChE J., 36, 1753 (1990).
18. Johansen, T. A., and B. A. Foss, "Multiple Model Approaches to Modelling and Control," Int. J. Control, 72, 575 (1999).
19. Morari, M., and E. Zafiriou, Robust Process Control, Prentice-Hall (1989).
20. Nikolaou, M., and V. Manousiouthakis, "A Hybrid Approach to Nonlinear System Stability and Performance," AIChE J., 35, 559 (1989).
21. Nikolaou, M., "When is Nonlinear Dynamic Modeling Necessary?," Proc. of American Control Conf., San Francisco, CA, 1067 (Jun. 2-4, 1993).
22. Nikolaou, M., and V. Hanagandi, "Nonlinearity Quantification and its Application to Nonlinear System Identification," Chem. Eng. Comm., 166, 1 (1998).
23. Nikolaou, M., "Computer-Aided Process Engineering in the Snack Food Industry," Chem. Processes Control V, AIChE Symposium Series, No. 93, 61 (1997).
24. Qin, S. J., and T. A. Badgwell, "An Overview of Industrial Model Predictive Control Technology," Chemical Processes Control V, AIChE Symp. Ser., No. 93, p. 232 (1997).
25. Qin, S. J., and T. A. Badgwell, "An Overview of Nonlinear Model Predictive Control Applications," F. Allgöwer and A. Zeng, eds., Nonlinear Model Predictive Control, Birkhauser, Switzerland (2000).
26. Rafal, M. D., and W. F. Stevens, "Discrete Dynamic Optimization Applied to On-Line Optimal Control," AIChE J., 14, 85 (1968).
27. Saaty, T. L., and J. Bram, Nonlinear Mathematics, McGraw-Hill, New York (1964).
28. Saaty, T. L., Modern Nonlinear Equations, McGraw-Hill, New York (1967).
29. Schrama, R., "Approximate Identification and Control Design," PhD Thesis, Dept. of Mech. Eng., Delft Univ. of Technology (1992).
30. Shinbroth, M., "Fixed Point Theorems," Scientific Amer. (Jan. 1966).
31. Skogestad, S., and I. Postlethwaite, Multivariable Feedback Control: Analysis and Design, Wiley, New York (1996).
32. Slotine, J. E., and W. Li, Applied Nonlinear Control, Prentice Hall, Englewood Cliffs, NJ (1991).
33. Sontag, E. D., "The Input to State Stability Philosophy as a Unifying Framework for Stability-Like Behavior," Preprints of CPC VI Proc. (2001).
34. Stack, A. J., and F. J. Doyle, "The Optimal Control Structure: an Approach to Measuring Control-Law Nonlinearity," Computers Chem. Eng., 21, 1009 (1997).
35. Stack, A. J., and F. J. Doyle, "Local Nonlinear Performance Assessment for Single-Controller Design," IFAC World Congress (1999).
36. Sun, D., and K. Kosanovich, "Nonlinearity Measures for a Class of SISO Nonlinear Systems," Proc. of Amer. Control Conf., 2544 (1998).
37. Willems, J., The Analysis of Feedback Systems, MIT Press (1971).
38. Zhou, K., and J. C. Doyle, Essentials of Robust Control, Prentice Hall (1998).