Nonlinear state estimation for fermentation process using cubature Kalman filter to incorporate delayed measurements

State estimation of biological process variables directly influences the performance of on-line monitoring and op- timal control for fermentation process. A novel nonlinear state estimation method for fermentation process is proposed using cubature Kalman filter （CKF） to incorporate delayed measurements. The square-root version of CI（F （SCKF） algorithm is given and the system with delayed measurements is described. On this basis, the sample-state augmentation method for the SCKF algorithm is provided and the implementation of the proposed algorithm is constructed. Then a nonlinear state space model for fermentation process is established and the SCKF algorithm incorporating delayed measurements based on fermentation process model is presented to implement the nonlinear state estimation. Finally, the proposed nonlinear state estimation methodology is applied to the state estimation for penicillin and industrial yeast fermentation processes. The simulation results show that the on-fine state estimation for fermentation process can be achieved by the proposed method with higher esti- mation accuracy and better stability.

不完全量测下的Cubature卡尔曼滤波方法

提出了一种不完全量测下的Cubature卡尔曼滤波方法,该方法在Cubature卡尔曼滤波算法的基础上,建立了量测滞后下的状态空间模型,利用采样点状态扩维的方法对状态估计值进行更新,并给出了不完全量测下的Cubature卡尔曼滤波算法的实现流程。仿真实验表明,不完全量测下的Cubature卡尔曼滤波方法可以用于处理量测信息采样时间和延时时间都不确定的情况,在处理不完全量测下的高维强非线性系统状态估计时计算量小,具有较高的估计精度。