一类模糊时滞系统的鲁棒二次稳定和H_∞控制  

A Class of Fuzzy Delay System Robust Quadratic Stabilization and H_∞ Control Performance

作　　者：巩长忠[1] 赵云[1] 

机构地区：[1]中国民航大学理学院,天津300300

出　　处：《中国民航大学学报》2011年第5期50-54,59,共6页Journal of Civil Aviation University of China

基　　金：中国民航大学科研启动基金项目(05qd03x)

摘　　要：研究了一类连续不确定模糊时滞系统的鲁棒二次稳定问题。首先给出不确定时滞系统的自治系统稳定的充分条件,在此基础上设计状态反馈控制器,给出全局二次可稳定的充分条件。相比已有的理论成果,更进一步考虑了系统的H∞性能指标,使系统在满足二次可稳定的同时也满足H∞性能指标,并将所得的条件转化为线性矩阵不等式以便借助Matlab完成求解。最后的算例验证了方法的可行性。The problem of robust quadratic stabilization about the uncertain fuzzy delay systems is researched. Firstly the sufficient conditions for the autonomous system of the uncertain time-delay systems is given, on this basis, a state feedback controller is designed, then the global sufficient conditions for quadratic stability is given. Compared with the theories that have already existed, this paper considers the H∞ control problem for more. Hence the sufficient conditions for the time-delay systems that meet the quadratic stabilization and the H∞ robust control is given in this paper. In order to solve the problem by Matlab, the sufficient condition is transformed into linear matrix inequalities. And the final numerical example is included to show the effectiveness of the proposed method.

关 键 词：模糊时滞系统 二次可稳定 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]