离散时间区间二型模糊奇异时滞系统的H_(∞)稳定  

H_(∞)Stability for Discrete-time Interval Type-2 Fuzzy Singular Systems with Time-varying Delays

作　　者：朱际铭 李江荣[1] 刘佳蕊 ZHU Ji-ming;LI Jiang-rong;LIU Jia-rui(School of Mathematics and Computer Science,Yan'an University,Yan'an 716000,China)

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《模糊系统与数学》2024年第2期151-158,共8页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金项目(6226206712261090);陕西省自然科学基础研究计划项目(2020JM-552);延安市人工智能理论及其应用科研创新团队项目;延安大学项目(YDY2020-25)。

摘　　要：本文研究了一类具有时变时滞和外部干扰的离散时间非线性系统的H_(∞)稳定问题。首先,考虑到隶属度函数的不确定性,利用区间二型模糊系统模型对非线性奇异系统进行建模;其次,基于Lyapunov稳定性理论,利用Jensen不等式方法处理二重差分求和项,得到了保守性较小的离散时间区间二型模糊奇异时滞系统的H_(∞)稳定充分条件;最后通过数值仿真算例验证了所得结论的有效性和正确性。This paper studies the H_(∞)stability for a class of discrete-time nonlinear singular system with time-varying delays and external disturbances.Firstly,considering the uncertainty of membership function,the interval type-2 fuzzy system model is used to model the nonlinear singular system.Secondly,based on Lyapunov stability theory,and by using the Jensen inequality technique,a sufficient condition for the H_(∞)stability of discrete-time interval type-2 fuzzy singular systems with time-varying delays is obtained.Furthermore,the derived condition can be converted into linear matrix inequality.Finally,a numerical simulation example is used to verify the validity and correctness of the result.

关 键 词：区间二型模糊奇异系统 时变时滞 H_(∞)性能 

分 类 号：O231[理学—运筹学与控制论]