带有结构性不确定的线性时变系统的二次镇定及H^∞控制  

THE QUADRATIC STABILIZATION OF LINEAR TIME-VARYING SYSTEM WITH STRUCTURAL MODEL UNCERTAINTY AND H~∞ CONTROL

作　　者：王朝珠[1] 谈侃 

机构地区：[1]中国科学院系统科学研究所,北京100080

出　　处：《系统科学与数学》1997年第4期330-337,共8页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金

摘　　要：本文讨论了带有结构性不确定的线性时变系统的二次镇定问题。建立了Ｈ＾∞指标γ和ＲＤＥ及ＲＤＩ之间的等价关系，并给出了带有结构不确定线性时变系统二次稳定的充分条件；在此基础上将带有结构性不确定线性时变系统的鲁棒动态补偿器设计转化成求解一个相应的确定性辅助线性时变系统的标准Ｈ＾∞控制问题。In this paper, the quadratic stabilization of linear time-varying system with structural model uncertainty is discussed. First, an equivalence relation between H∞ index γ, RDE and RDI is established. Second, the sufficienct condition for a linear time-varying system with structural model uncertainty to be quadratically stable is given. Based on the above results, it is shown that the design of robust compensator for the linear time-varying system with structural model uncertainty may be transformed into solving the standard H∞ control problem for an auxiliary deterministic linear time-varying system.

关 键 词：线性时变系统 结构性不确定 二次稳定 H^∞控制 

分 类 号：O231[理学—运筹学与控制论]