Parameter Identification And Optimization Of Specific Growth Rate Of Cells

This dissertation, based on the process of batch and fed-batch culture of glycerol bioconversion to 1,3-propanediol and considering its characteristic and dynamic conduct, establishes a nonlinear impulsive system and the optimal control model. The main feature of this dynamic system and of the optimal control model are discussed. This study, can not only promote the research and progress of nonlinear impulsive system this kind, the theory of optimal impulsive control and optimal algorithm related, but also provide the basic theoretical reference for producing 1,3-propanediol. Therefore, this research has important theoretical meaning and practical value. This study is supported by the National Nature Science Foundation of China (grant no.10471014) and the tenth 5 years' projects of Science and Technology Administration of China (grant no. 2001BA708B01-04).The content and main results of this dissertation can be summarized as follows.1. Present the nonlinear impulsive differential system and its optimal control problem, and the nonlinear impulsive dynamic system to describe its characteristic based on the process of batch and fed-batch culture of glycerol bioconversion to 1,3-propanediol is established. The existent singularity of the solution of nonlinear impulsive system and its continuous dependence on the initial value and the parameter are all proved.2. Take some classical formulations of μ as the basic functions of the finite function space, and search the optimal solution of μ in the finite space based on the optimal approximation principle. The optimal control model to identify μ is established. The existence of the solution of this control model is discussed, and the optimal solution is obtained by the improved Hooke-Jeeves algorithm.3. The basic principle of uniform design and optimal algorithm is discussed here, and the superiority of uniform design in searching the global optimal solution and the scarcity of the classical Hooke-Jeeves algorithm are discussed .By using theimproved Hooke-Jeeves algorithm, the numerical results of a practical problem show the better convergence of the improved algorithm than the classical, and the identified system can describe the physical process than the previous system.