不确定模糊系统的H_∞鲁棒动态输出反馈控制  

Robust H_∞ control for uncertain fuzzy systems via dynamic output feedback controller

作　　者：赵云[1] 

机构地区：[1]中国民航大学设备处,天津300300

出　　处：《中国民航大学学报》2014年第1期51-56,69,共7页Journal of Civil Aviation University of China

摘　　要：研究不确定T-S模糊系统的H∞鲁棒控制问题,选取全局动态输出反馈控制器,得到系统稳定的充分条件。在此基础上,为方便运用计算机进行求解,对矩阵进行非奇异分解,将条件转化为求解线性矩阵不等式的问题,并进一步通过变量之间的关系求得动态输出反馈控制器的待确定矩阵。选取了全局动态输出反馈控制器来研究不确定模糊系统的稳定性,并考虑了加入外界干扰后,系统满足H∞鲁棒控制性能。最后的数值算例说明方法的可行性与有效性。The problem of robust H∞ control for a class of T-S uncertain fuzzy systems has been studied, as well as the sufficient conditions,which maintain the robust H control of the whole fuzzy systems based on the full order fuzzy dynamic output feedback controller. On this basis, the matrix is divided into two nonsingular matrices, and the sufficient condition is transformed into linear matrix inequalities（LMIs）, in order to solve the question by software Matlab. What＇s more, the matrices of dynamic output feedback controller, which are to be determined ,can be obtained by the relationship of matrices in sufficient conditions. The full order fuzzy dynamic output feedback controller is used to study the problem of stability for fuzzy uncertain systems, and the robust fuzzy H∞ control problem is also discussed. Furthermore the final numerical example is included to show the effectiveness of the proposed method.

关 键 词：不确定系统 动态输出反馈控制器 线性矩阵不等式 H∞性能指标 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]