摘要
研究系统矩阵中含有范数有界不确定性广义系统的H∞ 控制问题 ,通过广义系统的有界实引理分析不确定广义系统容许性以及H∞ 干扰衰减问题 ,利用线性矩阵不等式方法和Schur补定理将时变广义系统H∞ 控制问题转化为对定常广义系统H∞ 控制问题进行研究 。
The problem H ∞ control for time-varying descriptor system with norm-bounded uncertainties in the system matrices is investigated.The admissibility and H ∞ disturbance attenuation problem for the time-varying descriptor system with norm-bounded uncertainties are analyzed by bounded real lemma.The H ∞ problem for the time-varying descriptor system is tranformed to the time-invariant descriptor system by parameterized linear matrix inequality(LMI) and Schur complement theory if uncertainties satisfy the norm-bounded condition.The result that the descriptor system with norm-bounded uncertaities is equal to the time-invariant descriptor system is concluded.
出处
《沈阳航空工业学院学报》
2004年第3期76-78,共3页
Journal of Shenyang Institute of Aeronautical Engineering
关键词
广义系统
线性矩阵不等式
H∞控制
范数有界
descriptor system
linear matrix inequality (LMI)
H ∞control
norm-bounded
