关键词: 离散广义系统, 不确定性, H₂/H_∞优化控制, 线性矩阵不等式（LMI）, 状态反馈

Abstract:

The problem of robust  H₂/H_∞ optimal control for uncertain discrete singular systems was studied with the help of linear matrix inequality approach. A sufficient condition was presented for the systems to satisfy the robust H₂/H_∞ mixed performance for all admissible uncertainties. The condition can be used to design state feedback controllers, and the re
sulting closedloop system is admissible and satisfies the robust  H₂/H_∞ performance. A sufficient condition of matrices inequalities was obtained and a state feedback controller was designed.

Key words: discrete singular systems, uncertainty, H2/H∞ optimal control, linear matrix inequality (LMI), state feedback