广义离散不确定线性系统的鲁棒H_∞控制分析  

Robust H∞ Control Analysis for Uncertain Descriptor Discrete -time Linear Systems

作　　者：马合保[1] 秦超英[2] 

机构地区：[1]安阳师范学院数学系,河南安阳455000 [2]西北工业大学应用数学系,陕西西安710072

出　　处：《哈尔滨理工大学学报》2000年第5期90-92,96,共4页Journal of Harbin University of Science and Technology

摘　　要：研究了一类具有范数有界参数不确定性广义离散线性系统的鲁棒Ｈ∞控制问题．基于离散代数Ｒｉｃｃａｔｉ不等式，得到了广义离散不确定线性系统正则、具有因果关系且渐近稳定，同时传递函数满足给定的Ｈ∞范数界的一个充分条件．The robust H∞ control problem of uncertain descriptor discrete-time linear systems with time-varying norm-bounded parameter uncertainty is studied. In terms of a discrete algebraic Riccati inequality, a sufficient condition is obtained for an uncertain descriptor discrete-time linear system to be regular, causal relation and asymptotically stable as well as the transfer function satisfying a prescribed H∞-norm bound.

关 键 词：广义离散线性系统 不确定性 鲁棒H∞控制 RICCATI不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] O231[自动化与计算机技术—控制科学与工程]