摘要
本文研究了带有常时滞的离散时间二型模糊双线性系统的状态反馈控制问题。首先,考虑隶属函数的不确定性,将非线性系统建模为区间二型模糊双线性系统。其次,基于Lyapunov稳定性理论,提出了区间二型模糊状态反馈控制准则,以保证区间二型模糊双线性闭环系统的稳定性。控制器的设计可以通过序列线性规划矩阵方法求解得到。最后,通过数值仿真例子验证所得结果的有效性和正确性。
In this paper, we consider the fuzzy bilinear state-feedback control problem of discrete-time interval type-2 fuzzy bilinear systems with constant delay. First, considering the uncertainties in the membership functions, the nonlinear system are modeled into the interval type-2 fuzzy bilinear systems. Second, based on the Lyapunov stability theory, an interval type-2 fuzzy state-feedback control criterion is proposed to guarantee the interval type-2 fuzzy closed-loop bilinear system to be stable. The fuzzy controller can be obtained by using sequential linear programming matrix method. Finally, one example is introduced to demonstrate the effectiveness of the result.
作者
李琳
李江荣
毛晨斐
LI Lin;LI Jiang-rong;MAO Chen-fei(School of Mathematics and Computer Science,Yan'an University,Yan'an 716000,China)
出处
《模糊系统与数学》
北大核心
2021年第2期59-66,共8页
Fuzzy Systems and Mathematics
基金
模糊奇异系统的可达集分析与估计(61763045)
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
延安大学研究生教改研究项目(YDYJG2019014)。
关键词
区间二型模糊系统
双线性系统
状态反馈
Interval Type-2 Fuzzy Systems
Bilinear Systems
State-feedback
