离散时滞广义系统状态反馈H_∞控制

State Feedback H_∞ Control for Discrete Time-delay Singular Systems

讨论了一类离散时滞广义系统的状态反馈H∞控制问题。基于系统参数不等式,得到了问题可解的充分条件,并给出了状态反馈控制器显式表示。所得的控制器保证闭环系统正则,具有因果关系,稳定并且满足给定的H∞性能指标.

The problem of state feedback H∞ control for a class of discrete time-delay singular systems is discussed.Firstly,a sufficient condition for the solvability of the problem and the explicit expression of state feedback H∞ controller are obtained in terms of matrix inequalities.The designed controller guaranteed that the closed-loop systems is regular,causal,stable and satisfying a prescribed H∞ norm bounded constraint.