摘要
研究一类不确定离散模糊系统的鲁棒H2/H∞静态输出反馈控制问题。提出一种Lyapunov矩阵与系统矩阵解耦的离散模糊系统混合H2/H∞性能准则;基于该性能准则,以矩阵不等式的形式,给出了鲁棒H2/H∞模糊静态输出反馈控制器存在的充分条件,并给出了最优化模糊控制器设计的迭代线性矩阵不等式(ILMI)算法。
The problem of robust H2/H∞ static output feedback control is considered for a class of uncertain discrete-time fuzzy systems. A mixed H2/H∞ performance criterion for discrete-time fuzzy systems is proposed, by separating Lyapunov matrices from system matrices. Based on this, a sufficient condition for the existence of robust H2/H∞ fuzzy static output feedback controller is derived in terms of matrix inequalities. Furthermore, an iterative linear matrix inequalities （ILMI） algorithm is developed to design optimal fuzzy controller.
出处
《模糊系统与数学》
CSCD
北大核心
2008年第4期99-105,共7页
Fuzzy Systems and Mathematics
