基于高斯伪谱法的分区联立动态优化策略  

Partitioning and simultaneous strategy for dynamic optimization by Gauss pseudo-spectral method

作　　者：王平[1] 田学民[1] 

机构地区：[1]中国石油大学(华东)信息与控制工程学院,山东青岛266555

出　　处：《控制与决策》2011年第11期1749-1752,共4页Control and Decision

基　　金：国家高技术研究发展计划项目(2007AA04Z193)

摘　　要：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 solution of dynamic optimization problems generally consists of different kinds of arcs.And the inherent discontinuous nature of optimal control profiles may pose problems to numerical solution methods.Therefore,based on Gauss pseudo-spectral method,a partitioning and simultaneous strategy for dynamic optimization problem is presented.Through partitioning,the ill-condition problem caused by the discontinuity of optimal control profile can be avoided.In addition,the optimization problems obtained after the partition is solved in a simultaneous way and the solution can satisfy the linkage constraints.Finally simulation study shows the effectiveness of the proposed strategy.

关 键 词：动态优化 高斯伪谱法 弧段 分区联立 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]