时滞非线性T-S模糊马尔科夫跳变系统的滑模控制  

Sliding mode control for nonlinear T-S fuzzy Markov jump systems with time delay

作　　者：李媛[1] 张如霞 于忠鑫 LI Yuan;ZHANG Ru-xia;YU Zhong-xin(School of Science,Shenyang University of Technology,Shenyang 110870,China)

机构地区：[1]沈阳工业大学理学院,沈阳110870

出　　处：《沈阳工业大学学报》2022年第2期203-208,共6页Journal of Shenyang University of Technology

基　　金：国家自然科学基金项目(61673100);辽宁省教育厅科研项目(LZGD2017039).

摘　　要：针对时滞非线性T-S模糊马尔科夫跳变系统的滑模控制问题,设计了一个新的积分型滑模面函数,得到带有状态时滞和非线性项的等效控制律,消除了系统中的非线性项,并得到滑动模态渐近稳定的充分条件.利用李雅普诺夫理论设计T-S滑模控制律,使系统的状态轨迹在有限的时间内到达指定的滑动面.通过单连杆机械臂模型仿真实例验证了本文方法的有效性,所设计的滑模控制律可以使系统达到稳定状态.Aiming at the sliding mode control(SMC)problem for nonlinear T-S(Takagi-Sugeno)fuzzy Markov jump systems(MJSs)with time delay,a novel integral type sliding surface function was designed,and an equivalent control law with both state time delay and nonlinear item was obtained without nonlinear term in the system.In addition,the sufficient condition for the asymptotic stability of sliding mode was attained.A T-S SMC law was designed in terms of Lyapunov theory to make the state trajectory of system reach the specified sliding surface within finite time.The effectiveness of as-proposed method was verified by a simulation model of single link manipulator,and the designed SMC law can make the system reach the stable state.

关 键 词：T-S模糊控制 马尔科夫跳变系统 渐近稳定 时滞 非线性 控制律 李雅普诺夫理论 滑模控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]