[1]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(03):68-71.[doi:10.3969/j.issn.1671-6833.2012.03.017]
　ZENG Qingshan,YANG Zengfang.Optimal Control of Fractional-Order System with FreedomEnd-Point or Function Constrained End.Point[J].Journal of Zhengzhou University (Engineering Science),2012,33(03):68-71.[doi:10.3969/j.issn.1671-6833.2012.03.017]
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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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《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:
33
期数:
2012年03期
页码:
68-71
栏目:
出版日期:
2012-05-10

文章信息/Info

Title:
Optimal Control of Fractional-Order System with FreedomEnd-Point or Function Constrained End.Point
作者:
曾庆山; 杨增芳.
郑州大学 电气工程学院,河南郑州,450001, 郑州大学 电气工程学院,河南郑州,450001
Author(s):
ZENG Qingshan; YANG Zengfang
School of Electrical Engineering, Zhengzhou University, Zhengzhou 450001 ,China
关键词:
分数阶系统;  最优控制;  性能指标函数
Keywords:
fractional-order system;  optimal control;  performance index funetion
分类号:
TP13
DOI:
10.3969/j.issn.1671-6833.2012.03.017
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.
Abstract:
The method of solving the optimal control problem for integer-order systems is extended into frac-tional-order in this paper. The optial control of the systems deseribed by Caputo’s fractional-order differenti.al equation is investigated. The state equation, concomitant equation, control equation, transyersality condi.tions and terminal constraint equations of optimal control for fractional-order system with fixed terminal time,free terminal state and fixed terminal time function constrnined end-point is proposed and proved exaetly in the paper.
更新日期/Last Update: 1900-01-01