Robust state feedback synthesis for control of non-square multivariable nonlinear systems

Journal of Process Control

Volumn 13, Issue 7, 2003, Pages 623-631

  Palanki, Srinivas ^a   Cockburn, Juan C ^a   Kolavennu, Soumitri N ^b  

^a FLORIDA A AND M UNIVERSITY   (United States)

^b HONEYWELL   (United States)

Author keywords

I O linearization; Non square Multivariable systems; Robust control

Indexed keywords

CHEMICAL REACTORS; FEEDBACK CONTROL; LINEARIZATION; MATHEMATICAL MODELS; MULTIVARIABLE CONTROL SYSTEMS; ROBUSTNESS (CONTROL SYSTEMS);

ROBUST STATE FEEDBACK SYNTHESIS;

NONLINEAR CONTROL SYSTEMS;

EID: 0043124286     PISSN: 09591524     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0959-1524(02)00098-7     Document Type: Conference Paper

References (26)

1. Isidori A. Nonlinear Control Systems. 1995;Springer-Verlag, Berlin.
2. Guardabassi G., Savaresi S. Approximate linearization via feedback-an overview. Automatica. 37:2001;1-15.
3. P. Gahinet, A. Nemirovski, A. Laub, M. Chilali LMI Control Toolbox, The Mathworks Inc., 1995.
4. ∞ control a convex optimation approach IEEE Trans. Automat. Contr. AC-39:1991;824-837.
5. Christodes P., Teel A., Daoutidis P. Robust semi-global output tracking for singularly perturbed nonlinear systems. Int. J. Contr. 65:1996;639-666.
6. ∞ synthesis Chem. Eng. Sci. 55(9):2000;1583-1589.
7. Kravaris C., Palanki S. Robust nonlinear state feedback under structured uncertainty. AIChE J. 34(7):1988;1119-1127.
8. Christodes P., Daoutidis P. Robust control of multivariable two-time-scale nonlinear systems. J. Proc. Contr. 7:1997;313-328.
9. El-Farra N.H., Christodes P. Bounded robust control of constrained multivariable nonlinear processes. CES. 56:2001;1841-1868.
10. ∞ synthesis Chem. Eng. Sci. 56(14):2001;4339-4349.
11. Nystrom R.H., Sandstrom K.V., Gustafsson T.K., Toivonen H.T. Multimodel robust control of nonlinear plants. A case study J. Proc. Contr. 9:1999;135-150.
12. Reeves D., Arkun Y. Interaction measures for nonsquare decentralized control structures. AIChE J. 35(4):1989;603-613.
13. Morari M., Grimm W., Ogelsby M., Prosser I. Design of resilient processing plants. viii: Design of energy measurement systems for unstable plants - new insights. Chem. Eng. Sci. 40:1985;187-198.
14. Treiber S. Multivariable control of non square systems. Ind. Eng. Chem. Pros. Des. Dev. 23(4):1984;854-857.
15. S. Treiber, D.W. Hoffman, Multivariable constraint control using a frequency domain design approach, Chem. Pros. Contr. - CPC III Proc., p. 185.
16. Lau H., Alvarez J., Jensen K.F. Synthesis of control structures by singular value analysis. dynamic measures of sensitivity and interaction AIcheJ. 31(3):1985;427-439.
17. Chang J., Yu C. The relative gain for non-square multivariable systems. Chem. Eng. Sci. 45(5):1990;1309-1323.
18. F. Doyle, F. Allgower, S. Oliveria, E. Gilles, M. Morari (1992). On nonlinear systems with poorly behaved zero dynamics, in: Proceedings of the American Control Conference, pp. 2571-2577.
19. McLain R., Kurtz M., Henson M., Doyle F. Habituating control for non-square nonlinear processes. Ind. Eng. Chem. Res. 35:1996;4067-4077.
20. Doyle F., Morari M. Robust controller design for a nonlinear cstr. Chem. Eng. Sci. 44(9):1989;1929-1947.
21. Sampath V., Palanki S., Cockburn J.C. Robust nonlinear control of polymethylmethacrylate production in a batch reactor. Comp. Chem. Engng. 22:1998;S451-S457.
22. Sastry S., Isidori A. Adaptive control of linearizable systems. IEEE Trans. Automat. Contr. 34(11):1989;1123-1131.
23. Palanki S., Kravaris C. Controller synthesis for time-varying systems by input/output linearization. CCHE. 21(8):1997;891-903.
24. Sampath V., Palanki S., Cockburn J.C. Development of gain scheduling for trajectory tracking problems in input-output linearizable batch processes. Comp. Chem. Engng. 23:1999;S285-S288.
25. Soroush M., Kravaris C. Nonlinear control of a polymerization cstr with singular characteristic matrix. AIChE J. 40(6):1994;980-990.
26. Kolavennu S., Palanki S., Cockburn J. Nonlinear control of non-square multivariable systems. Chem. Eng. Sci. 56(6):2001;2103-2110.