以函数为参量的间歇发酵非线性动力系统及其辨识

doi:10.15960/j.cnki.issn.1007-6093.2017.02.006

Operations Research Transactions

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Nonlinear dynamic system of batch fermentation with the function as parameters and identification

YANG Qi^1,2,* JIANG Zhigang¹ FENG Enmin¹ YIN Hongchao² XIU Zhilong³

1. School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, Liaoning, China; 2. School of Energy and Power Engineering, Dalian University of Technology, Dalian 116024, Liaoning, China;
3.School of Environmental and Biological Science and Technology, Dalian University of Technology, Dalian 116024, Liaoning, China

Received:2016-09-12 Online:2017-06-15 Published:2017-06-15

Abstract

Abstract:

In this paper, we propose a nonlinear dynamical system of batch fermentation with the continuous piecewise linear functions as parameters, and investigate the existence of solution about the nonlinear dynamical system. Based on a smooth curve which is fitted to the experimental data, a new identifiable model was established by using the continuous piecewise linear function as optimization parameters. According to the relationship between the state variables and identification function, an efficient algorithm is developed to solve the identification system, and the convergence of optimization algorithm is also analysed. Finally, numerical results are discussed to illustrate the validity of the present model.

Key words: nonlinear dynamic system, continuous piecewise linear function, identification, batch fermentation

YANG Qi, JIANG Zhigang, FENG Enmin, YIN Hongchao, XIU Zhilong.

Nonlinear dynamic system of batch fermentation with the function as parameters and identification

[J]. Operations Research Transactions, doi: 10.15960/j.cnki.issn.1007-6093.2017.02.006.

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Nonlinear dynamic system of batch fermentation with the function as parameters and identification

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