水环境逆边界逆动态混合控制精确算法

A Exact Method of Water Environment Inverse Boundary and Inverse Time Mixed Control

根据逆边界逆动态控制理论，将河流水污染动态控制问题提为逆边界逆动态混合控制问题。针对多个或单个污染源排放浓度和排放总量计算，提出了一维对流－扩散方程逆控制的精确算法。该方法与现行最优控制方法相比，其优点是充分考虑了河流沿程的稀释混合容量，并能充分考虑水质动态标准和社会经济变化等因素，可获得动态控制精确解的近似解。

In this paper a river water pollution dynamic control problem is proposed as inverse boundary and inverse time mixed control one based on inverse boundary and inverse time control theory.In order to calculating the effluent concentration and total sewage flows from single point sources and multi point sources,a exact algebraie method is presented for one dimensional advection and dispersion differential equations inverse control problem.The new algorithm is shown to be very effective in solving the water pollution control problem.For example,it considers dilution mixed runoff volume along course,water quality dynamic standards,social economic variety etc.factors.In addition to it can derive an approximate value of the dynamic contorl exact solution.