一类非光滑分布参数系统的可辨识性及最优性条件

摘要

变压器温度场参数辨识问题是一种分片光滑的分布参数辨识问题,以流速为辨识参数,针对传质传热的一类分布参数系统参数辨识问题,证明了系统最优参数的存在性和控制参数为最优的必要条件,为变压器温度场的数值模拟研究提供了理论基础.%The parameter identification problem of the temperature field of the transformer is a piecewise smooth identification problem. Taking the flow velocity as the identification parameter, consider a parameter identification problem of temperature field of the transformer, prove the existence of the optimal parameter and the necessary optimality conditions, and present a theoretical basis for the numerical simulation of temperature field of transformers.