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基于微分对策理论的非线性控制回顾与展望

谭拂晓 刘德荣 关新平 罗斌

谭拂晓, 刘德荣, 关新平, 罗斌. 基于微分对策理论的非线性控制回顾与展望. 自动化学报, 2014, 40(1): 1-15. doi: 10.3724/SP.J.1004.2014.00001
引用本文: 谭拂晓, 刘德荣, 关新平, 罗斌. 基于微分对策理论的非线性控制回顾与展望. 自动化学报, 2014, 40(1): 1-15. doi: 10.3724/SP.J.1004.2014.00001
TAN Fu-Xiao, LIU De-Rong, GUAN Xin-Ping, LUO Bin. Review and Perspective of Nonlinear Systems Control Based on Differential Games. ACTA AUTOMATICA SINICA, 2014, 40(1): 1-15. doi: 10.3724/SP.J.1004.2014.00001
Citation: TAN Fu-Xiao, LIU De-Rong, GUAN Xin-Ping, LUO Bin. Review and Perspective of Nonlinear Systems Control Based on Differential Games. ACTA AUTOMATICA SINICA, 2014, 40(1): 1-15. doi: 10.3724/SP.J.1004.2014.00001

基于微分对策理论的非线性控制回顾与展望

doi: 10.3724/SP.J.1004.2014.00001
基金项目: 

国家自然科学基金(61073116);安徽省自然科学基金(1208085MF111),中国科学院自动化研究所复杂系统管理与控制国家重点实验室开放基金(20120102),安徽省教育厅自然科学研究项目(KJ2011B123);安徽省博士后基金,安徽省工业图像处理与分析重点实验室开放基金资助

详细信息
    作者简介:

    谭拂晓 安徽大学计算机科学与技术学院博士后,阜阳师范学院计算机与信息学院副教授. 主要研究方向为多智能体网络系统的协调控制,非线性系统的鲁棒控制,基于增强学习的非线性系统动态优化. 本文通信作者.E-mail:fuxiaotan@gmail.com

    通讯作者:

    谭拂晓

Review and Perspective of Nonlinear Systems Control Based on Differential Games

Funds: 

Supported by National Natural Science Foundation of China (61073116), Anhui Provincial Natural Science Foundation of China (1208085MF111), the Open Research Project from State Key Laboratory of Management and Control for Complex Systems (20120102), Natural Science Research Project of the Education Department of Anhui Province (KJ2011B123), Anhui Postdoctoral Foundation, and Open Fund of Key Laboratory of Anhui Industrial Image Processing and Analysis

  • 摘要: 微分对策是使用微分方程处理双方或多方连续动态冲突、竞争或合作问题的一种数学工具. 它已经广泛应用于生物学、经济学、国际关系、计算机科学和军事战略等诸多领域. 微分对策实质上是一种双方或多方的最优控制问题,它将现代控制理论与对策论相融合,从而比控制理论具有更强的竞争性、对抗性和适用性. 本文根据非线性微分对策理论的控制、均衡及算法阐述了微分对策的理论发展历史,综述了已有结论与算法的本质,总结了现有的研究成果. 最后对基于微分对策理论非线性系统的鲁棒性与最优性进行了展望.
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