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具有条件马尔科夫结构的离散随机系统最优控制 被引量:7

Optimal control for discrete stochastic system with conditional Markov structure
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摘要 基于Bellman随机非线性动态规划法,提出了具有条件马尔科夫跳变结构的离散随机系统的最优控制方法,应用随机变结构系统的性质对最优控制算法进行了简化处理,并将后验概率密度函数用条件高斯函数来逼近,针对一类具有条件马尔科夫跳变结构的线性离散随机系统,给出了其逼近最优控制算法. Based on Bellman stochastic nonlinear dynamic programming, we develop an optimal control algorithm for the discrete stochastic system with conditional Markov structure. By making use of characters of stochastic variable structure system, we simplify the optimal control algorithm, and approximate the posterior probability density function by a Ganssian function. The optimal control algorithm for a class of linear discrete stochastic systems with conditional Markov structure is derived finally.
出处 《控制理论与应用》 EI CAS CSCD 北大核心 2010年第1期99-102,共4页 Control Theory & Applications
基金 国家自然科学基金资助项目(60674031) 国家高科技发展计划"863"计划资助项目(2007AA701405) 空军工程大学工程学院优秀博士论文创新基金资助项目(BC07004)
关键词 随机系统 最优控制 条件马尔科夫结构 Bellman随机动态规划法 stochastic system optimal control conditional Markov structure Bemllman stochastic nonlinear dynamic programming
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参考文献12

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