• 关键词：活性污泥法  最优周期控制  BOD排放总量

• 基金项目：国家自然科学基金

• 彭永臻
• 哈尔滨建筑大学市政环境工程学院 150008

• 王宝贞
• 哈尔滨建筑大学市政环境工程学院 150008

• 王淑莹
• 哈尔滨建筑大学市政环境工程学院 150008

• 摘要：着重研究了在限制有机物排放总量时,使其运行费用最低的最优周期控制问题。通过增加新的状态变量和用补偿函数法,将本课题的有约束条件问题化为无约束条件问题,并提出了最优步长参数的动态搜索法来修改传统的梯度法,从而较完善地解决了多变量最优周期控制的计算问题。研究中还发现了不同初始条件下最优控制所需要的运行费用也大不相同,进而提出了最优初始状态下最优周期控制的新概念,这对保证出水质量的同时进一步降低污水处理成本来说具有更重要的意义。本文还强调指出：对于尚不具备实现最优控制条件的处理系统,可根据最优控制的研究结果实现具有广泛实用价值的准最优控制。

• Abstract：Optimal periodic control with the lowest operational cost by limiting total substrate discharge mass was studied.Through adding new state variable and using supplement functions,the problem with restriction conditions was converted into nonrestriction problem.In addition,the dynamic searching method of optimal step coefficient was developed to modify the conventional gradient method,consequently the calculation problem of the multivariable optimal periodic control was able to be resolved better.It was found that the operational costs of optimal control under various initial states are distinctly different.A new concept of optimal control under optimal initial state was presented.It is pointed out emphatically that to the treatment system without optimal control condition,the suboptimal control with extensive practical value can be realized according to the results of optima control.

• Key words：activated sludge process  optimal periodic control  BOD total discharge mass

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