离散时间区间Ⅱ型模糊双线性系统的事件驱动控制  

Event-triggered control for discrete-time interval type Ⅱ fuzzy bilinear systems

作　　者：刘治沼 李琳 乔田田[2] 李江荣[2] 何远洋 LIU Zhizhao;LI Lin;QIAO Tiantian;LI Jiangrong;HE Yuanyang(College of Mathematics,Northwest University,Xi’an 710127;College of Mathematics and Computer Science,Yan’an University,Yan’an 716000,China)

机构地区：[1]西北大学数学学院,陕西西安710127 [2]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《延安大学学报（自然科学版）》2022年第2期58-64,共7页Journal of Yan'an University：Natural Science Edition

基　　金：国家自然科学基金项目(61763045);陕西省自然科学基础研究计划项目(2020JM-552);延安大学大学生创新创业训练计划项目(D2019133);延安大学研究生教育创新计划项目(YCX2020103,YCX2020098)。

摘　　要：针对一类带有不确定参数的复杂非线性系统,利用离散时间区间Ⅱ型模糊双线性系统进行建模。首先,采用离散事件驱动控制,设计新颖的区间Ⅱ型模糊状态反馈控制器,利用输入滞后方法,闭环系统可转化为新的事件驱动区间Ⅱ型模糊双线性时滞系统;其次,基于李雅普诺夫稳定性理论,并运用先进的矩阵不等式方法,得到闭环系统渐近稳定的充分条件和控制器的设计方法,利用序列线性规划矩阵方法(SLPMM)可求解非线性最小化问题;最后,通过数值例子验证所得结论的有效性。This paper is concerned with the design of event-triggered bilinear controller for a class of complex nonlinear system with uncertain parameters.The nonlinear systems are modeled by interval type Ⅱ fuzzy bilinear systems.By adopting the idea of input delay method,a novel state-feedback controller is proposed.The closed-loop system is reformulated as a new event-triggered interval type Ⅱ fuzzy singular system.Based on LyapunovKrasovskii functional and some techniques on matrix inequalities,a method of event-triggered state-feedback controller design is developed for the closed-loop systems that are asymptotically stable.An iterative algorithm employing SLPMM is used to solve the nonlinear matrix inequalities.An illustrative example is provided to demonstrate the effectiveness of the results.

关 键 词：区间Ⅱ型模糊系统 双线性系统 事件驱动控制 状态反馈控制器 

分 类 号：O231[理学—运筹学与控制论]