Synthesis of state feedback regulators for nonlinear processes

Chemical Engineering Science

Volumn 55, Issue 17, 2000, Pages 3437-3449

  Kazantzis, Nikolaos ^a   Kravaris, Costas ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Feedback linearization; Nonlinear dynamics; Process control; Regulation; Simulations; Stability

Indexed keywords

REGULATOR;

EID: 0034037109     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0009-2509(00)00006-3     Document Type: Article

References (23)

1. Bequette B.W. Nonlinear control of chemical processes: A review. Industrial and Engineering Chemistry, Research. 30:1991;1391.
2. Chen C.T. Linear system theory and design. 1984;Holt, Rinehart and Winston, New York.
3. Christofides P.D., Teel A.R., Daoutidis P. Robust semi-global output tracking for singularly perturbed nonlinear systems. International Journal of Control. 65:1996;639.
4. Courant R., Hilbert D. Methods of mathematical physics, vol. II. 1962;John Wiley, New York, NY.
5. El-Farra, N., & Christofides, P.D. (1999). Robust optimal control of nonlinear systems. Proceedings of the American Control Conference. San Diego, CA (p. 124).
6. Fogler H.S. Elements of chemical reaction engineering. 1992;Prentice Hall, Englewood Cliffs, NJ.
7. Hoo K.A., Kantor J.C. An exothermic continuous stirred tank reactor is feedback equivalent to a linear system. Chemical Engineering Communications. 37:1985;1.
8. Hunt L.R., Su R., Meyer G. Global transformations of nonlinear systems. IEEE Transactions on Automatic Control. 28:1983;24.
9. Isidori A. Nonlinear control systems: an introduction. 1989;Springer, New York, NY.
10. Isidori A., Byrnes C.I. Output regulation of nonlinear systems. IEEE Transactions on Automatic Control. 35:1990;131.
11. Kazantzis, N. (1997). Lie and Lyapunov methods in the analysis and synthesis of nonlinear process control systems. Ph.D. Thesis, The University of Michigan, Michigan.
12. Kazantzis, N., & Kravaris, C. (2000). Singular PDEs and the single-step formulation of feedback linearization with pole-placement. Systems and Control Letters, 39, 115.
13. Kravaris C. Input. / Output linearization: A nonlinear analog of placing poles at process zeros A.I.CH.E. Journal. 34:1988;1803.
14. Kravaris C., Chung C.B. Nonlinear state feedback synthesis by global input. / output linearization A.I.CH.E. Journal. 33:1987;592.
15. Kravaris C., Kantor J.C. Geometric methods for nonlinear process control. 2. Controller Synthesis. Industrial and Engineering Chemistry Research. 29:1990;2310.
16. Luenberger D.G. Observing the state of a linear system. IEEE Transactions on Military Electronics. 8:1963;74.
17. Lyapunov A.M. The general problem of the stability of motion. Lyapunov Centenary Issue, International Journal of Control (English Translation). 55:1992;626.
18. Maciejowski J.M. Multivariable feedback design. 1989;Addison-Wesley, Reading, MA.
19. Ray H. Advanced process control. 1981;McGraw-Hill, New York, NY.
20. Skogestad S. Multivariable feedback control: Analysis and design. 1996;Wiley, New York.
21. Stengel R.F. Optimal control and estimation. 1994;Dover, Mineola, NY.
22. Su R. On the linear equivalents of nonlinear systems. Systems and Control Letters. 2:1982;48.
23. Vejtasa S.A., Schmitz R.A. An experimental study of steady state multiplicity and stability in an adiabatic stirred reactor. A.I.CH.E. Journal. 3:1970;410.