引用本文: | 王飞, 冯祖仁, 胡奇英.基于马氏决策过程的概率离散事件系统最优控制[J].控制理论与应用,2007,24(6):895~901.[点击复制] |
WANG Fei, FENG Zu-ren, HU Qi-ying.Optimal control of probabilistic discrete event systems on Markov decision processes[J].Control Theory and Technology,2007,24(6):895~901.[点击复制] |
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基于马氏决策过程的概率离散事件系统最优控制 |
Optimal control of probabilistic discrete event systems on Markov decision processes |
摘要点击 1712 全文点击 1063 投稿时间:2005-12-02 修订日期:2007-03-13 |
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DOI编号 |
2007,24(6):895-901 |
中文关键词 最优控制 概率离散事件系统 马氏决策过程 ∈-包含 最优监控器 |
英文关键词 optimal control probabilistic discrete event systems Markov decision processes ∈-containments optimalsupervisor |
基金项目 国家自然科学基金资助项目(60475023) |
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中文摘要 |
使用马氏决策过程研究了概率离散事件系统的最优控制问题. 首先, 通过引入费用函数、目标函数以及最优函数的定义, 建立了可以确定最优监控器的最优方程. 之后, 又通过此最优方程获得了给定语言的极大可控、∈-包含闭语言. 最后给出了获得最优费用与最优监控器的算法. |
英文摘要 |
The problem for optimal control of probabilistic discrete event system is investigated by using Markov decision processes in the paper. Firstly, an optimal equation which can determine optimal supervisor is established by introducing the definitions of cost function, objective function and optimal function. Next, the maximal controllable and closed ∈-containments of a given language is obtained by using the optimal equation. Finally, an algorithm to obtain the optimal cost value and optimal supervisor is given. |
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