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High gain observer based on a triangular structure. (English) Zbl 1006.93007

Summary: A high gain observer based on a triangular structure of nonlinear systems is proposed. An algorithm capable of calculating a gain of the observer is given. This observer synthesis is then extended to a class of multi-output nonlinear systems which contains the model of binary distillation columns. Finally, we illustrate the performance of the estimator using numerical simulations of a methanol-ethanol distillation column.

MSC:

93B07 Observability
93C10 Nonlinear systems in control theory
93C95 Application models in control theory

References:

[1] Hermann, IEEE Transactions on Automatic Control AC-22 pp 728– (1997)
[2] Sussman, Mathematical Systems Theory 12 pp 371– (1979) · Zbl 0422.93019 · doi:10.1007/BF01776584
[3] Besancon, Systems and Control Letters 29 pp 9– (1996) · Zbl 0866.93013 · doi:10.1016/0167-6911(96)00043-6
[4] A high gain observer for a class of uniformly observable systems. Proceedings of the 30th IEEE Conference on Decision and Control, vol. 122, Brighton, England, 1991.
[5] Contribution to the synthesis of exponential observers. Ph.D. Thesis, INSA Rouen, France, 1991.
[6] Gauthier, IEEE Transactions on Automatic Control 37 pp 875– (1992) · Zbl 0775.93020 · doi:10.1109/9.256352
[7] Gauthier, SIAM Journal on Control and Optimization 32 pp 975– (1994) · Zbl 0802.93008 · doi:10.1137/S0363012991221791
[8] Krener, Systems and Control Letters 3 pp 47– (1983) · Zbl 0524.93030 · doi:10.1016/0167-6911(83)90037-3
[9] Xia, SIAM Journal on Control and Optimization 27 pp 199– (1989) · Zbl 0667.93014 · doi:10.1137/0327011
[10] Gauthier, IEEE Transactions on Automatic Control 26 pp 922– (1981) · Zbl 0553.93014 · doi:10.1109/TAC.1981.1102743
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