| 指标函数终端自由和受函数约束的分数阶系统的最优控制 |
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| 引用本文： | 曾庆山,杨增芳.指标函数终端自由和受函数约束的分数阶系统的最优控制[J].郑州大学学报(工学版),2012,33(3):68-71. |
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| 作者姓名： | 曾庆山 杨增芳 |
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| 作者单位： | 郑州大学 电气工程学院,河南郑州,450001 |
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| 基金项目： | 河南省自然科学基金资助项目(0611054100) |
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| 摘 要： | 将求解整数阶系统最优控制的方法和步骤拓展到分数阶系统的最优控制中,对由Caputo定义的分数阶微分方程描述的分数阶系统提出了求解性能指标函数在始端固定的条件下,终端时间固定而终端状态自由和始端固定、终端时间固定而终端状态受函数约束的最优控制的状态方程、伴随方程、控制方程、横截条件和终端约束方程,并给予了证明.
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| 关 键 词： | 分数阶系统 最优控制 性能指标函数 |
Optimal Control of Fractional-Order System with Freedom End-Point or Function Constrained End-Point |
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| ZENG Qing-shan
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YANG Zeng-fang.Optimal Control of Fractional-Order System with Freedom End-Point or Function Constrained End-Point[J].Journal of Zhengzhou University: Eng Sci,2012,33(3):68-71. |
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| Authors: | ZENG Qing-shan YANG Zeng-fang |
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| Affiliation: | (School of Electrical Engineering,Zhengzhou University,Zhengzhou 450001,China) |
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| Abstract: | The method of solving the optimal control problem for integer-order systems is extended into fractional-order in this paper.The optimal control of the systems described by Caputo’s fractional-order differential equation is investigated.The state equation,concomitant equation,control equation,transyersality conditions and terminal constraint equations of optimal control for fractional-order system with fixed terminal time,free terminal state and fixed terminal time function constrained end-point is proposed and proved exactly in the paper. |
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| Keywords: | fractional-order system optimal control performance index function |
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