引用本文:史明光, 陈无畏.基于博弈论的H2/H∞混合控制及其在汽车主动悬架中的应用[J].控制理论与应用,2005,22(6):882~888.[点击复制]
SHI Ming-guang,CHEN Wu-wei.Mixed H-two/H-infinity control based on game theory and its application to the vehicle active suspension system[J].Control Theory and Technology,2005,22(6):882~888.[点击复制]
基于博弈论的H2/H∞混合控制及其在汽车主动悬架中的应用
Mixed H-two/H-infinity control based on game theory and its application to the vehicle active suspension system
摘要点击 1447  全文点击 1545  投稿时间：2003-07-18  修订日期：2005-05-10
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DOI编号  
  2005,22(6):882-888
中文关键词  非零和博弈模型  纳什均衡点  H2/H∞混合控制  主动悬架
英文关键词  non-zero game model  Nash equilibrium point(NEP)  mixed H-two/H-infinity control  active suspension
基金项目  国家自然科学基金资助项目(50275045); 安徽省国际合作项目资助(02088001).
作者单位
史明光, 陈无畏 合肥工业大学 电气与自动化工程学院,安徽合肥230009
合肥工业大学 机械与汽车工程学院,安徽合肥230009 
中文摘要
      文章提出把H2/H∞混合控制问题抽象为两个对局者信息不完全情况下的非零和博弈模型.在构造2×2非零和博弈模型中把反映系统鲁棒性能通道和动态性能通道作为参加博弈的两方,以H∞和H2控制方案作为两种纯策略,基于纳什谈判解原理设计出求解H2/H∞混合控制问题纳什均衡点的一般算法.把该算法应用于汽车主动悬架设计出基于纳什均衡点的H2/H∞输出反馈控制器.使用MATLAB进行仿真,仿真结果表明主动悬架系统在保持鲁棒稳定性与获得优化的动态性能指标之间取得平衡.
英文摘要
      The H-two/H-infinity control is formulated as a non-zero game model with incomplete information.A 2×2 non-zero game model is constructed,and two channels,robust performance channel and dynamical performance channel,are chosen as players.H-two and H-infinity controls are pure strategies.An algorithm for mixed H-two/H-infinity control,based on the Nash bargaining theory,is derived to achieve the Nash equilibrium point.The algorithm is applied to a vehicle active suspension system,and H-two/H-infinity output feedback controller,based on the Nash equilibrium point,is then constructed.Computer simulations with MATLAB demonstrate that the active suspension system achieves a good balance between robust stability and optimally dynamical performance.