分布参数系统参数辨识的最佳测量位置

来源期刊：中南大学学报(自然科学版)2004年第1期

论文作者：周璇 喻寿益

文章页码：97 - 100

关键词：分布参数系统;信息矩阵; D-最优试验设计准则

Key words：distributed parameter system; information matrix; D-optimum experimental design

摘    要：许多有关集中参数系统参数辨识的方法经改造后可推广到分布参数系统中,但其涉及的问题复杂,其中传感器的测量位置则是分布参数系统参数辨识过程的特有问题,它对分布参数系统的参数辨识精度有着很大的影响。从受噪声干扰的不同位置传感器检测值出发,构造了分布参数系统的信息矩阵,提出了一种基于信息矩阵行列式的优化算法,并采用D-最优试验设计准则优化传感器的位置配置,得到了分布参数系统检测传感器的最佳测量位置,同时保证了系统的参数辨识精度。仿真结果表明,该方法对于分布参数系统的输出和状态检测传感器位置的选择具有参考价值。

Abstract: Most practical engineering systems are distributed parameter systems, the model parameter identification methods of distributed parameter system are not sophisticated as those of lumped parameter system. Many modified methods of lumped parameter system can be applied to distributed parameter system. But the problems involved in the distributed parameter system are much more complicated than those in the lumped parameter system, and the optimal sensor location is distinctive to the distributed parameter system,which has a significant effect on the parameter identification precision of the distributed parameter system seriously because the observed values are polluted by the noise. So a kind of optimal algorithm was put forward based on the determinant of information matrix which was acquired during the parameter identification process,and the determinant of this information matrix was only interrelated with the sensor location Then D-optimum experimental design was used to optimize the sensor location. The simulation results show the efficiency of the method, which is valuable for the choice of optimal sensor location in the distributed parameter system.