Nonlinear Kalman Filter Simultaneous Determination of Mixture of Phenol and 2-Chlorophenol
WANG Qiang1, 2, MA Pei-sheng1,TANG Hong-mei1, 2,JIA Qing-zhu1
1. College of Chemical Engineering, Tianjin University, Tianjin 300072, China 2. College of Chemical Engineering, Tianjin University of Science and Technology, Tianjin 300222，China
Abstract：An analysis method of nonlinear absorbance for binary composition mixture was proposed. The nonlinear absorbance was composed of the contributions from both themselves and the change in their contributions due to mixing, as well as the contribution from their interaction. The mixture of phenol and 2-chlorophenol was simultaneously determined using nonlinear Kalman filter UV spectrophotometry. UV absorption spectra were obtained with 32 standard solutions (range 1-15 mg·L-1) and 71 wavelengths(250-290 nm). Standard work matrix of extended Kalman filter was performed from partial least-squares method. The vectors function Jacobi matrix was obtained by linearization of Taylor series for nonlinear absorbance formula. The recovery experiment showed that the extended Kalman filter simultaneous determination of mixture of phenol and 2-chlorophenol that is not only exact, but also stable.
[1] Poulisse H． Anal. Chim. Acta, 1979, 112: 361. [2] Nevado J J, Cabanillas G G, Salinas F. Talanta, 1992, 39(5): 547. [3] Kostrhounova R, Jancar L. Chem. Listy, 2003, 97(5): 269. [4] Eksperiandova L P, Fokina I I. Anal. Chim. Acta, 1999, 396(2-3): 317. [5] LIU Jian-hua, LIN Zhen-yu(刘建华，林振宇). Spectroscopy and Spectral Analysis(光谱学与光谱分析), 2000, 20(4), 480. [6] Eskandari H, Saghseloo Ali G. Analytical Sciences 2003, 19: 1513. [7] XU Lu，SHAO Xue-guang(许 禄, 邵学广). Stoichiometry Methods(化学计量学方法). Beijing: Science Press(北京: 科学出版社), 2004. 185. [8] FU Meng-yin, DENG Zhi-hong, ZHANG Ji-wei(傅梦印，邓志红，张继伟). Kalman Theory and Its Applicationin Navigation System(Kalman滤波理论及其在导航系统中的应用). Beijing：Science Press(北京: 科学出版社), 2003. 20. [9] Grewal M S, Andrews A P. Kalman Filter Theory and Practice Using Matlab(2nd ed.). New York: John Wiley and Sons, 2001. Chap. 13, 1123. [10] Hassan H N A, Barsoum B N. J. of Pharmaceutical and Biomedical Analysis, 1999, 20: 315. [11] WANG Qiang，MA Pei-sheng(王 强, 马沛生). Journal of Tianjin University of Science and Technology(天津科技大学学报), 2005, 20(1): 21. [12] Yongnian N I, et al. Chinese J. Anal. Chem.(分析化学), 1996，24(3): 26
