参数不确定离散广义系统的H_2/H_∞优化控制  

H_2/H_∞ Optimal Control for Discrete Singular Systems with Parameter Uncertainties

作　　者：刘凯[1,2] 杨冬梅[2] 

机构地区：[1]淮北师范大学数学科学学院,安徽淮北235000 [2]东北大学系统科学研究所,沈阳110819

出　　处：《吉林大学学报（理学版）》2012年第2期237-243,共7页Journal of Jilin University:Science Edition

基　　金：辽宁省自然科学基金(批准号:20102058)

摘　　要：利用线性矩阵不等式(LMI)研究一类不确定离散广义系统的鲁棒H2/H∞优化控制问题.对系统所有允许的不确定参数,提出了满足鲁棒H2/H∞混合性能的一个充分条件,以设计状态反馈控制律,保证闭环系统是允许的且满足鲁棒H2/H∞混合性能,得到了该问题可解的一个矩阵不等式的充分条件,并给出一个控制律的设计.The problem of robust H2/H∞ optimal control for uncertain discrete singular systems was studied with the help of linear matrix inequality approach.A sufficient condition was presented for the systems to satisfy the robust H2/H∞ mixed performance for all admissible uncertainties.The condition can be used to design state feedback controllers,and the resulting closed-loop system is admissible and satisfies the robust H2/H∞ performance.A sufficient condition of matrices inequalities was obtained and a state feedback controller was designed.

关 键 词：离散广义系统 不确定性 H2/H∞优化控制 线性矩阵不等式(LMI) 状态反馈 

分 类 号：O231.1[理学—运筹学与控制论]