论文部分内容阅读
最优控制轨迹通常由不同类型的弧段组成,采用数值方法求解这类问题时,其优化轨迹的不连续性可能导致求解失败,为此基于高斯伪谱法,提出一种分区联立动态优化求解策略.该策略通过对优化时域合理分区,避免了由于控制轨迹不连续而导致的病态优化问题.另外,通过联立求解分区后的优化问题,能够满足各分区间的连接条件,而且可以使用较少的节点获得高质量的优化解.最后以抗生素发酵过程为例验证了所提出算法的有效性.
The optimal control trajectory usually consists of different types of arcs. When the numerical method is used to solve this kind of problem, the discontinuity of the optimal trajectory may lead to the failure of the solution. Therefore, based on the Gaussian pseudospectral method, This strategy avoids the pathological optimization problems caused by the discontinuity of the control trajectory by reasonably partitioning the optimal time-domain, and by solving the optimization problems after the partition by the simultaneous solution, it can satisfy the connection conditions among the partitions and can And use fewer nodes to obtain high quality optimal solution.Finally, the effectiveness of the proposed algorithm is verified by taking the antibiotic fermentation process as an example.