时变时滞模糊系统的时滞反馈控制  

Delayed Feedback Control for Continuous-Time Fuzzy Systems with Time-Varying Delay

作　　者：郭岗[1] 闫晓婷[1] 牛文生[2] 朱敏[3] 

机构地区：[1]洛阳师范学院信息技术学院,河南洛阳471022 [2]中国航空计算技术研究所,陕西西安710068 [3]西安通信学院通信装备管理系,陕西西安710106

出　　处：《中山大学学报（自然科学版）》2011年第3期22-26,共5页Acta Scientiarum Naturalium Universitatis Sunyatseni

基　　金：国防科研基金资助项目(C0520061364)

摘　　要：对一类带有时变时滞的模糊系统,研究了其反馈控制问题。通过定义一种新型的模糊Lyapunov-Kra-sovskii泛函(LKF),得到开环系统时滞相关的稳定条件。在推导过程中引入模糊自由权值矩阵变量,避免了使用边界不等式和模型转换所带来的保守性;同时在估计LKF导数上界时,考虑了在以前文献中常被忽略的有用项。采用并行分布补偿算法(PDC),得到了闭环系统时滞相关稳定的充分条件。设计出了相应的时滞控制器,并将其转化成为一个受线性矩阵不等式(LMI)约束的凸优化问题。最后,通过仿真例子验证了所提方法的有效性。The delayed feedback control problem is studied for a class of continuous-time fuzzy systems with time-varying delay.Based on a new fuzzy Lyapunov-Krasovskii functional（LKF）,a delay-dependent stability criterion is derived for the open-loop fuzzy systems.Less conservative results are obtained by considering the additional useful terms when estimating the upper bound of the derivative of LKF and introducing new fuzzy free weighting matrices.Then based on parallel distributed compensation（PDC）,a delay-dependent stabilization condition is derived in terms of linear matrix inequalities（LMIs） and the corresponding controller can be obtained by solving a set of LMIs.Finally,simulation examples show the effectiveness of the proposed method.

关 键 词：时滞相关稳定 模糊Lyapunov-Krasovskii泛函 时滞反馈 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]