孙凯彪

个人信息Personal Information

副教授

硕士生导师

性别:男

毕业院校:北京师范大学

学位:博士

所在单位:控制科学与工程学院

学科:控制理论与控制工程. 应用数学

办公地点:海山楼A1127

联系方式:17741113575

电子邮箱:sunkb@dlut.edu.cn

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New Approach to the Nonlinear Analysis of a Chemostat with Impulsive State Feedback Control

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论文类型:期刊论文

发表时间:2010-01-01

发表刊物:INTERNATIONAL JOURNAL OF CHEMICAL REACTOR ENGINEERING

收录刊物:SCIE、EI

卷号:8

ISSN号:1542-6580

关键字:chemostat optimization; feedback control; growth dynamics; optimization; stability

摘要:Bioreactor control is an important area of research concerning continuous microorganism cultivation. The possible occurrence of the substrate inhibition phenomenon or substrate deficiency engenders the necessity to the control the substrate concentration. Moreover in order to maintain the dissolved oxygen content in an appropriate range, the biomass concentration should not exceed the set out level. To maintain the substrate and biomass concentration in certain desired ranges, a proposal of a new chemostat with pulse state feedback control is presented in the work. Then, a universal mathematical model of the chemostat is formulated, and the dynamic properties of the model including the existence and stability of the periodic solution are discussed. After this, in order to optimize the biomass production, two objective functions are introduced and the optimization is performed. The work shows that the proposed chemostat extends functionality of a chemostat providing in easy way the control of biomass and substrate concentration. The analytical results presented in the work are validated by numerical simulations.