| 基于高斯伪谱法的分区联立动态优化策略 |
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| 引用本文： | 王平,田学民.基于高斯伪谱法的分区联立动态优化策略[J].控制与决策,2011,26(11):1749-1752. |
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| 作者姓名： | 王平 田学民 |
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| 作者单位： | 中国石油大学（华东）信息与控制工程学院,山东青岛,266555 |
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| 基金项目： | 国家高技术研究发展计划项目(2007AA04Z193) |
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| 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.
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| 关 键 词： | 动态优化 高斯伪谱法 弧段 分区联立 |
| 收稿时间： | 2010/5/12 0:00:00 |
| 修稿时间： | 2011/5/29 0:00:00 |
Partitioning and simultaneous strategy for dynamic optimization by Gauss pseudo-spectral method |
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| WANG Ping,TIAN Xue-min,Qingdao ,China..Partitioning and simultaneous strategy for dynamic optimization by Gauss pseudo-spectral method[J].Control and Decision,2011,26(11):1749-1752. |
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| Authors: | WANG Ping TIAN Xue-min Qingdao China |
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| Affiliation: | WANG Ping,TIAN Xue-min(College of Information and Control Engineering,China University of Petroleum(East China),Qingdao 266555,China.) |
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| Abstract: | 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... |
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| Keywords: | dynamic optimization Gauss pseudo-spectral method arcs partitioning and simultaneous |
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