一类不确定T-S模糊时滞系统新的滑模控制方法  

A Sliding Mode Control Approach for a Class of Uncertain T-S Fuzzy Systems with Time-delay

作　　者：韩云昊[1] 米阳[1] 李钧涛[2,3] 井元伟[4] 

机构地区：[1]上海电力学院经济与管理学院,上海200090 [2]北京航空航天大学第七研究室,北京100083 [3]河南师范大学数学系,河南新乡453002 [4]东北大学信息科学与工程学院,辽宁沈阳110004

出　　处：《控制工程》2009年第5期609-613,共5页Control Engineering of China

基　　金：上海市教育委员会科研创新基金资助项目(08LZ144);国家自然科学基金资助项目(60643003)

摘　　要：针对一类时滞不确定系统,基于模糊滑模控制方法,考虑了其镇定问题。所研究系统中的时滞项和参数不确定项分别为有界时变和非匹配的。首先设计滑模面,使得系统状态在滑模面保持指数渐近稳定,并且将系统的稳定性证明转化为线性矩阵不等式的解的存在性问题;其次,基于到达条件,构造控制器,使得系统在设计控制器的作用下在有限时间内到达切换面;最后,给出仿真算例,经验证说明所设计的控制器的有效性。According to a kind of time-delay uncertain systems, the stabilization problem is considered based on fuzzy sliding mode control method. The time-delay term and the parametric uncertainties are bounded time varying and mismatched, respectively. Firstly, the sliding surface is designed which can make the system state keep exponential stability on the surface and the stability proof can be transferred into the solution of the linear matrix inequalities. Secondly, the controller is constructed by the reaching condition, which makes the state hit the switching surface in infinite time. Lastly, the simulation example shows the effectiveness of the controller.

关 键 词：时滞 滑模控制 T—S模糊系统 指数稳定 线性矩阵不等式 

分 类 号：TP27[自动化与计算机技术—检测技术与自动化装置]