An Algorithm and its Application of Multi-stage Identification Model of Nonlinear Dynamical System
In view of different characters in the development period, the growth period and the stabilization period of a kind of fermentative process, this paper proposes one kind of nonlinear multi-stage dynamical system and its identification model. This model is a kind of special optimal control problem restrained by multi-level programming. Because the level set of sub-control problem is locally uniform bounded and lower semi-continuous, we obtain the controllability of the sub-control problem and nonempty compactness of its optimal solution set. Then we construct the optimization algorithm and apply it to the parameter identification in batch microbial fermentation.Numerical results show that this multi-stage model can not only characterize the practical process better than weve used before, but also increase the precision and make it more effective.
Nonlinear dynamical system Optimal control Microbial fermentation Parameter Identification
Caixia Gao Enmin Feng
School of Mathematical Science, Inner Mongolia University, Hohhot, Inner Mongolia, 010021 Department of Applied Mathematics, Dalian University of Technology, Dalian, Liaoning, 116024
国际会议
The Second International Symposium(OSB08)(第二届国际优化及系统生物学学术会议)
云南丽江
英文
249-256
2008-10-31（万方平台首次上网日期，不代表论文的发表时间）