前件变量未知的T-S模糊系统输出反馈控制  

Output feedback control for T-S fuzzy system with unknown premise variables

作　　者：谢文博[1] 李鹤 张孟禹 张健 XIE Wen-bo;LI He;ZHANG Meng-yu;ZHANG Jian(College of Automation,Harbin University of Science and Technology,Harbin 150080,China;Beijing Research Institute of Mechanical and Electrical Technology, Beijing 100074,China;College of Power and Energy Engineering,Harbin Engineering University,Harbin 150001,China)

机构地区：[1]哈尔滨理工大学自动化学院,哈尔滨150080 [2]北京机电工程研究所,北京100074 [3]哈尔滨工程大学动力与能源工程学院,哈尔滨150001

出　　处：《控制与决策》2019年第9期1876-1884,共9页Control and Decision

基　　金：国家自然科学基金项目(61803114,61803127);黑龙江省普通本科高等学校青年创新人才培养计划项目(UNPYSCT-2017093)

摘　　要：针对一类带有未知前件变量的T-S模糊系统,提出一种新的观测器-控制器设计方法.首先,在前件变量完全未知的情况下,将观测误差方程中由未知前件变量导致的相关项利用Lipschitz条件进行限制;然后,根据Lyapunov函数得到系统稳定性条件,同时提出一种基于特征值的矩阵缩放方法和一种基于模糊Lyapunov函数的高增益观测器方法计算观测器-控制器的增益矩阵;最后,针对动力定位船舶的控制问题对两种方法进行仿真验证和比较分析,以表明所提出方法的有效性.For the T-S fuzzy system with unknown premise variables, a new observer-controller design method is proposed. While the premise variables are all unknown,the terms caused by the unknown premise variables in observer error equations are restricted by the Lipschitz conditions. Then, the system stability conditions are obtained based on the Lyapunov function method, and an eigenvalue matrix scaling method and a fuzzy Lyapunov function high gain observer method are proposed to calculate the observer-controller gains. Finally, based on the above two approaches, ship dynamic positioning simulation results are compared and analyzed, which show the effectiveness of the proposed methods.

关 键 词：T-S模糊系统 未知前件变量 输出反馈 观测器 控制器 LYAPUNOV函数 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]