| 基于一类复合型性能指标的线性最优控制问题 |
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| 引用本文： | 张驰,赵春. 基于一类复合型性能指标的线性最优控制问题[J]. 天津师范大学学报(自然科学版), 2011, 31(4): 23-26 |
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| 作者姓名： | 张驰 赵春 |
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| 作者单位： | 天津师范大学数学科学学院,天津,300387 |
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| 基金项目： | 国家自然科学基金资助项目，天津市高等学校科技发展基金计划资助项目，天津师范大学博士科研启动基金资助项目 |
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| 摘 要： | 讨论基于一类复合型性能指标的线性最优控制问题.应用最优控制理论推导出问题的最优控制解的形式,得出最优控制是不依赖于系统状态的开环控制.另外得到了最优价值函数的具体形式,并证明了价值函数关于系统状态x是线性的.
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| 关 键 词： | 线性系统 开环控制 复合指标 |
A class of linear optimal control problems based on compound performance |
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| ZHANG Chi,ZHAO Chun. A class of linear optimal control problems based on compound performance[J]. Journal of Tianjin Normal University(Natural Science Edition), 2011, 31(4): 23-26 |
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| Authors: | ZHANG Chi ZHAO Chun |
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| Affiliation: | ZHANG Chi,ZHAO Chun(College of Mathematical Science,Tianjin Normal University,Tianjin 300387,China) |
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| Abstract: | A class of linear optimal control problems based on compound performance is studied.The form of the optimal control solution is derived using optimal control theory,and it is proved that the optimal control is open-loop control which does not depend on the state of the system.Moreover,the formula of the optimal value function is obtained,and the value function is proved to be linear in the state x of the system. |
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| Keywords: | linear system open-loop control compound performance |
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