| 求解时变双线性系统最优控制的新方法 |
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| 引用本文： | 顾幸生,陈席,胡仰曾,俞金寿.求解时变双线性系统最优控制的新方法[J].华东理工大学学报(自然科学版),1992(Z1). |
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| 作者姓名： | 顾幸生 陈席 胡仰曾 俞金寿 |
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| 作者单位： | 华东化工学院自动化研究所，华东化工学院自动化研究所，华东化工学院自动化研究所，华东化工学院自动化研究所 上海交通大学信息与控制工程系 |
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| 摘 要： | 对PMGOP作了深入的研究,提出了一些实用的运算规则,并将PMGOP应用于时变双线性系统最优控制的数值求解。将难于求解的动态最优化问题转化成静态最优化问题,得出了形式简单、逼近精度高、计算量小的最优控制算法。仿真结果表明,本文提出的算法明显优于其他类似逼近算法。
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| 关 键 词： | 最优控制 时变系统 正交多项式系 函数逼近 双线性系统 |
An Approximate Technique for Optimal Control of Bilinear Time-Varying Systems |
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| Gu Xingsheng,Chen Xi,Hu Yangzeng Yu Jinshou.An Approximate Technique for Optimal Control of Bilinear Time-Varying Systems[J].Journal of East China University of Science and Technology,1992(Z1). |
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| Authors: | Gu Xingsheng Chen Xi Hu Yangzeng Yu Jinshou |
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| Institution: | Research Institute of Automatic Control |
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| Abstract: | An approximate technique based on piecewise multiple general orthogonal polynomials defined by authors has been carefully studied and some practical operational rules are presented. It has been successfully applied to the numerical solution for optimal control of bilinear time-varying systems, converting the difficult dynamic optimal control to the steady one. Simulation results show that this algorithm is simpler, more accurate and less time-consuming in computation than any others. |
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| Keywords: | optimal control time-varying sysiems orthogonal polynomials function approximation bilinaer systems |
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