Parameters Identification And Optimization For The Nonlinear Impulsive System In Microorganism Fermentation

Based on the practical background of producing 1, 3-propanediol(l, 3-PD) by microorganisms fermentation, we carry out some research on the nonlinear impulsive system of bio-conversion from glycerol to 1,3-propanediol and multi-level parameters identification for the impulsive system. This dissertation is supported by the National Natural Science Foundation of China "Optimality theory and algorithm in nonlinear piecewise smooth dynamic system" (Grant No.10471014), the tenth five-year plan of science and technology cf China "Microbial production of 1, 3-propanediol" (Project No. 2001BA708B01-04). This dissertation studies the property , stability of the nonlinear system and identifiability of the identification model . The results in this dissertation provide certain referrence for industrialization of 1,3-propanediol production by fermentation. So this study can make helpful difference to the practice. This dissertation may be summarized as follows:1. We prove that the solution of the impulsive system exists and is unique. We also get that this solution is continuous with respect to the initial value and the parameters. Then we get the solution is stable.2. The single parameters identification model is established and is proved to have solutions. We get the solution by using the construted algorithm.3. Chapter 3 analyze the sensitivity of the parameters usirg the derivative to ignore the parameters with small sensitivity. We establish the bilevel parameters identification system constraited by the growth and steady period and adopt the level sets, parametric minimization theorem to prove its identifiability. After availing of the optimization algorithm to get the optimal solution we discuss the stability in terms of two measures under the new parameters.