区间二型模糊不确定时滞系统的鲁棒H_(∞)控制  

Robust H_(∞) Control for Interval Type-2 Uncertain Fuzzy Systems with Time-varying Delays

作　　者：毛晨斐 李江荣[1] 李琳 乔田田[1] MAO Chen-fei;Ll Jiang-rong;LI Lin;QIAO Tian-tian(School of Mathematics and Computer Science,Yan'an University,Yan'an 71600o,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》2021年第5期76-86,共11页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(61763045);延安大学研究生教育创新计划项目(YCX2020098)。

摘　　要：研究了一类具有参数不确定和时变时滞的非线性系统的鲁棒H_(∞)控制问题。为了进行稳定性分析和控制综合设计,采用区间二型模糊不确定模型来表示非线性系统。首先,提出一种区间二型模糊控制器来稳定非线性系统。其次,在新的L-K泛函的基础上,利用矩阵分解方法和自由加权矩阵技术对牛顿-莱布尼茨公式中的各项关系进行表示,通过线性矩阵不等式给出一个新的具有H_(∞)性能的时滞相关稳定条件。最后,结合算例说明了该方法的可行性和优越性。This thesis studies the problem of robust H_(∞) control for a class of nonlinear systems with parameter uncertainties and time-varying delays.To design the stability analysis and control synthesis, the interval type-2 fuzzy uncertain model is used to represent the nonlinear systems. Firstly, an interval type-2 fuzzy controller is proposed to stable the nonlinear systems. Secondly, based on novel L-K functional, in which the relations in Newton-Leibniz formula are expressed, are by using matrix decomposition approach and free-weighting matrix technique, a new delay-dependent stability with H;performance conditions in terms of linear matrix inequalities are obtained. Finally, an example is given to illustrate the feasibility and effectiveness of this method.

关 键 词：区间二型模糊系统﹔H_(∞)控制 不确定性 时变时滞 

分 类 号：O159[理学—数学]