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该文研究为辨识一类抛物型系统ｕｔ＝ａｕｘｘ＋ｂｕｘ＋ｃｕ所用点测量传感器的定位问题。利用广义正交多项式将该系统近似成一有限维系统；根据集中参数系统理论讨论了近似系统的可辨识性，导出了传感器的区域定位策略，并给出了在局部优性条件下基于单点测量数据同时估计未知参数ａ、ｂ、ｃ的最小二乘算法，且用仿真实例说明了系统近似误差对辨识结果的影响
In this paper, we study the localization of a point-measuring sensor for a class of parabolic systems ut = auxx + bux + cu. The system is approximated by a generalized orthogonal polynomial into a finite dimensional system. According to the theory of centralized parameter system, the discernibility of the approximate system is discussed and the regional positioning strategy of the sensor is derived. Based on the single point measurement Data at the same time estimate the unknown parameters a, b, c least squares algorithm, and illustrates the impact of system approximation error on the identification results