摘要
讨论了线性时不变区间广义系统基于状态反馈的鲁棒H∞控制问题·利用区间矩阵的一种等价描述形式,将所讨论的区间广义系统转换成一般的线性时不变不确定广义系统,给出了区间广义系统二次稳定且具有扰动衰减度γ及二次能稳定且具有扰动衰减度γ的概念,得到了该问题可解的充要条件是一个基于系统参数矩阵的矩阵不等式有满足广义约束的解,同时也给出了满足该问题的反馈矩阵的构造方法·
?The robust H∞ control of the interval singular system was discussed based on statefeedback. By equivalent form of interval matrix, the interval singular system was converted to a class of timeinvariant descriptor system. The concept of quadratic stability with attenuation γ and quadratic stabilization with attenuation γ was given. A necessary and sufficient condition for the solvability of the robust H∞ control in term of a matrix inequality with a socalled descriptor restriction was presented. Furthermore, a required feedback matrix was also constructed.
出处
《东北大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2002年第11期1033-1036,共4页
Journal of Northeastern University(Natural Science)
基金
教育部骨干教师基金资助项目
