【摘要】 讨论了一类区间离散广义系统的状态反馈鲁棒H∞控制问题.在给出区间离散广义系统的等价描述之后,基于系统参数矩阵不等式,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.数值例子说明了该方法的正确性.更多还原

【Abstract】 The problem of state feedback robust H∞ control for a class of interval discrete-time singular systems is discussed.Firstly,a kind of equivalent description of the interval discrete-time singular systems was given.Then a sufficient condition for the solvability of the problem and the explicit expression of state feedback robust H-infinity controller were obtained in terms of matrix inequalities.The designed controller guaranteed that the closed-loop systems was regular,causal,stable and (satisfying) a prescribed H-infinity norm bounded constraint.Finally,an example was given to demonstrate the effectiveness of the proposed method.更多还原