Application of Observability in Performance Evaluation of Photosynthesis Model

doi:10.16182/j.issn1004731x.joss.21-0056

Abstract

Abstract:

The photochemical reaction of photosynthesis involves a variety of physiological substances that cannot be directly measured. By modeling the control system, the state of these physiological substances can be es-timated based on the chlorophyll fluorescence, but the reliability of the state estimation is not given in all the reference documents. In response to this problem, based on the photochemical reaction kinetic model, the observability of the nonlinear system is introduced to evaluate the reliability of the state estimation. Aiming at the existing observability methods lacking the direct comparability due to the different dimensions of the components of different states, the method of magnitude impact factor and logarithmic normalization is adopted to eliminate the impact of magnitude to improve the observability measurement of the model and strategy is proposed to improve the system observability. The simulation results show that the new observ-ability index is basically consistent with the error characteristics of the state estimation, which can better evaluate the state estimation effect of the model.

Key words: photosynthesis, nonlinear system, observability, state estimation, reliability assessment

CLC Number:

TP391.9

Hongnai Gao, Lijiang Fu, Qian Xia, Ya Guo. Application of Observability in Performance Evaluation of Photosynthesis Model[J]. Journal of System Simulation, 2022, 34(6): 1330-1342.

Figures/Tables 16

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状态变量	测度指标	SNR_l/dB	RMSE₁	SNR_h/dB	RMSE_h
x₁	0.95	33	0.211	25	0.632
x₂	0.77	39	0.257	26	0.849
x₃	0.34	35	0.673	23	1.342
x₄	0.13	37	0.531	19	1.768
x₅	0.04	47	0.722	33	1.732

状态变量	测度指标	MAE	RMSE	MAPE	R
x₁	0.95	0.000 1	0.211	0.95	0.999
x₂	0.77	0.052	0.257	1.27	0.957
x₃	0.34	0.376	0.673	1.39	0.842
x₄	0.13	1.277	0.531	2.75	0.785
x₅	0.04	1.351	0.722	9.11	0.987

状态变量	弱光	中等光	强光
x₁	0.88	0.95	0.99
x₂	0.73	0.77	0.80
x₃	0.35	0.34	0.36
x₄	0.14	0.13	0.13
x₅	0.03	0.04	0.04

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