引用本文:赵 霞, 姚 郁.同步多速率系统H控制的J-无损失共轭化设计[J].控制理论与应用,2005,22(3):472~476.[点击复制]
ZHAO Xia, YAO Yu.J-lossless conjugated design for synchronous multirate sampled-data system H-infinity control[J].Control Theory and Technology,2005,22(3):472~476.[点击复制]
同步多速率系统H控制的J-无损失共轭化设计
J-lossless conjugated design for synchronous multirate sampled-data system H-infinity control
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DOI编号  
  2005,22(3):472-476
中文关键词  同步多速率系统  H控制  因果约束  J-无损失共轭因子
英文关键词  synchronous multirate sampled-data system(SMRSDS)  H-infinity control  causal constraint  J-lossless conjugator
基金项目  
作者单位
赵 霞, 姚 郁 同济大学 控制科学与工程系,上海 200092
哈尔滨工业大学 控制科学与工程系,黑龙江 哈尔滨 150001 
中文摘要
      针对提升后同步多速率控制器存在的因果约束问题,利用J-无损失共轭因子同H控制相关的性质,提出了同步多速率系统H控制的J-无损失共轭化设计.这一方法将提升后同步多速率系统的H控制问题转化成求解共轭因子的问题,即只需求解相关特征值和Lyapunov方程,就可得到满足因果约束条件的控制器和相应闭环系统的参数化形式,同时对提升控制器的因果约束转化为范数有界真有理稳定传递函数矩阵空间BH中任意参数的因果约束,同常规的逼近
英文摘要
      In the illumination of the causal constraint problem for lifted synchronous multirate controller,this article proposes a (J-lossless) conjugator design approach by making use of the properties of the J-lossless conjugator.First,lift the Synchronous multirate sampled-data system (SMRSDS) and deal with it by equivalent discretization.Now the H-infinity control of SMRSDS is equivalent to that of the system with a causal constraint lifted controller.Second,the H-infinity control of discrete system is transformed to the solution of a conjugator which only needs to solve the eigenvalue problem and a Lyapunov equation.At the same time,the causal constraint of the lifted controller is changed to the causal constraint of a random element in BH-infinity.Finally the parameterized forms of the controller are obtained,which satisfy the causal constraint and the corresponding closed-loop system.It has the characteristics of simple design procedure and less computation quantity in comparion with the routine theories.