Convergence Analysis of Run-to-run Control for a Class of Nonlinear Systems

Proceedings of the American Control Conference

Volumn 4, Issue , 2003, Pages 3032-3037

  Francois G ^a   Srinivasan, B ^a   Bonvin, D ^a  

^a EPFL   (Switzerland)

Author keywords

Blood glucose control; Convergence analysis; Diabetes management; Run to run control; Sector nonlinearity; Successive linearization

Indexed keywords

APPROXIMATION THEORY; BLOOD; CONTROL EQUIPMENT; CONVERGENCE OF NUMERICAL METHODS; GLUCOSE; LINEARIZATION; LYAPUNOV METHODS; METABOLISM;

RUN-TO-RUN CONTROL;

NONLINEAR SYSTEMS;

EID: 0142152995     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (13)

1. S. Arimoto and T. Naniwa. Learnability and adaptability from the viewpoint of passivity analysis. Intelligent Automation and Soft Computing, 8(2):71-94, 2002.
2. R.N. Bergman, L.S. Phillips, and C. Cobelli. Physiologic evaluation of factors controlling glucose tolerance in man. J. Clin. Invest., 68:1456-1467, 1981.
3. W.J. Campbell, S.K. Firth, A.J. Toprac, and T.F. Edgar. A comparison of run-to-run algorithms. In American Control Conference, pages 4212-4217, Anchorage, 2002.
4. E.D. Castillo and A.M. Hurwitz. Run-to-run process control: Literature review and extensions. Journal of Quality Technology, 29:184-196, 1997.
5. T. Chu, L. Huang, and L. Wang. Guaranteed absolute stability of a class of delay systems with local sector nonlinearities via piecewise linear Lyapunov function. In American Control Conference, pages 4212-4217, Arlington, 2001.
6. F. Doyle III, B. Srinivasan, and D. Bonvin. Run-to-run control strategy for diabetes management. In IEEE Engineering in Medecine and Biology Conference, Istanbul, 2001.
7. G. Francois, B. Srinivasan, and D. Bonvin. Run-to-run optimization of an emulsion polymerization reactor. In IFAC, page 1258, Barcelona, Spain, 2002.
8. E. Kreysig. Advanced Engineering Mathematics, Sixth Edition. John Wiley And Sons, Inc, New York, 1988.
9. B. Srinivasan, S. Palanki, and D. Bonvin. Dynamic optimization of batch processes: I. Characterization of the nominal solution. Comp. Chem. Eng., 27:1-26, 2003.
10. B. Srinivasan, C. J Primus, D. Bonvin, and N. L. Ricker. Run-to-run optimization via generalized constraint control. Control Eng. Practice, 9:911-919, 2001.
11. A. Tayebi and M.B. Zaremba. Robust iterative learning control design is straightforward for uncertain Iti systems satisfying the robust performance condition. IEEE Trans. Automat. Contr., 48(1):101-106, 2003.
12. M. Vidyasagar. Nonlinear Systems Analysis, Second Edition. Prentice Hall, New Jersey, 1993.
13. E. Zafiriou, R.A. Adomaitis, and G. Gattu. Approach to run-to-run control for rapid thermal processing. In American Control Conference, pages 1286-1288, Seattle, 1995.