Extension of Kalman Filtering to Semilinear PDE Systems-Application to Pulp and Paper

作者: Ivan Francisco Yupanqui Tello , Alain Vande Wouver , Daniel Coutinho

DOI: 10.1109/ICSTCC50638.2020.9259662

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摘要: This paper deals with the observer design of nonlinear tubular chemical reactor models. The analysis is performed on a linearized version model around steady-state profile, in which some coefficients are function spatial variable. study starts from general reactors that will serve as benchmark for formulation infinite dimensional Hilbert state space. optimal output injection operator associated to proposed computed via solution infinite-dimensional Riccati equation space performance illustrated through numerical experiments an industrial pulp bleaching model.

参考文章(9)
Alain Vande Wouwer, Nicolas Point, Stéphanie Porteman, Marcel Remy, An approach to the selection of optimal sensor locations in distributed parameter systems Journal of Process Control. ,vol. 10, pp. 291- 300 ,(2000) , 10.1016/S0959-1524(99)00048-7
M. Laabissi, M.E. Achhab, J.J. Winkin, D. Dochain, Trajectory analysis of nonisothermal tubular reactor nonlinear models Systems & Control Letters. ,vol. 42, pp. 169- 184 ,(2001) , 10.1016/S0167-6911(00)00088-8
Chaó-Kuang Chen, Shing-Huei Ho, Application of differential transformation to eigenvalue problems Applied Mathematics and Computation. ,vol. 79, pp. 173- 188 ,(1996) , 10.1016/0096-3003(95)00253-7
Zbigniew Emirsjlow, Stuart Townley, From PDEs with Boundary Control to the Abstract State Equation with an Unbounded Input Operator: A Tutorial European Journal of Control. ,vol. 6, pp. 27- 49 ,(2000) , 10.1016/S0947-3580(00)70908-3
Joachim Deutscher, Finite-dimensional dual state feedback control of linear boundary control systems International Journal of Control. ,vol. 86, pp. 41- 53 ,(2013) , 10.1080/00207179.2012.717723
Andrey Smyshlyaev, Miroslav Krstic, Backstepping observers for a class of parabolic PDEs Systems & Control Letters. ,vol. 54, pp. 613- 625 ,(2005) , 10.1016/J.SYSCONLE.2004.11.001
Joseph Winkin, Cédric Delattre, Denis Dochain, Sturm-Liouville systems are Riesz-spectral systems International Journal of Applied Mathematics and Computer Science. ,vol. 13, pp. 481- 484 ,(2003)
P. Tessier, M. Savoie, A mathematical model for chlorine dioxide delignification Tappi Journal. ,vol. 80, pp. 145- 153 ,(1997)