用摹矩阵求解离散过程最优周期控制问题

ON SOLVING THE OPTIMAL PERIODIC CONTROL PROBLEM OF DISCRETE PROCESS BY USING MODILO—MATRIX

本文利用[3]中的摹矩阵相乘方法和[1,2]中的有向图求解原理,给出了求解离散过程最优周期控制问题的另一种方法。它对周期控制问题通用性较强、计算量较少,且可求限定周期问题。另在算出最优解的同时,给出了许多短周期较好的可行解。这对实际应用有益,且利于并行计算。

In this paper a mathod for Solving the Optimal periodic control problem of discrete process by using Modilo-matrix is given and discussed. The mathod has a Strong point in the common use for the periodic control problem and less computations, It not only solves the specified periodic control problem, but also gives many better feasible Solutions for shorter periods while seeking the optimal solution. So it is of value to practical problems. Futhermore, the method is suitable to the implementation in parallel.