广义离散系统的状态反馈鲁棒H∞控制

针对一类范数有界参数不确定性的广义离散线性系统，研究了该系统的状态反馈鲁棒H∞控制问题。利用线性矩阵不等式（LMI）的方法，得到了问题可解的条件，并给出了相应的状态反馈控制律。在一定条件下，所得的状态反馈鲁棒H∞控制律使广义离散线性系统对所有容许的不确定性参数，能够保证闭环系统正则、具有因果关系并且渐进稳定，同时其传递函数矩阵能够满足给定的H∞性能指标。正常离散线性系统的相对应结果可作为本文结果的特殊形式。

State Feedback Robust H-infinity Control for Discrete-Time Singular Systems

This paper presents the state feedback robust H-infinity control for a class of-uncertain sinular discrete-time linear systems with norm-bounded parameter uncertainties. A sufficient condition for the solvability of the problem and the state feedback robust H-infinity feekback controller are obtained in terms of liner matrix inqualities. The designed controller guaranteed that the closed-loop systems was regular, causal, stable and satisfying a prescribed H-infinity norm bounded constraint for all admissible uncertain parameters under some conditions.