摘要
研究了连续T-S模糊系统H∞状态反馈控制器的设计问题.主要目的是针对连续T-S模糊系统设计H∞状态反馈控制器,使得闭环控制系统渐近稳定并且满足给定的H∞性能指标.通过应用积分型模糊Lyapunov函数方法并结合有效的矩阵变换技术引入松弛变量,以线性矩阵不等式的形式给出了两个H∞状态反馈控制器存在的充分条件.最后通过仿真算例验证了所提出方法的有效性.
This paper investigates the deign problem of H∞state feedback controller for continuous-time T-S fuzzy systems.Attention is focused on the design of a H∞state feedback controller such that the closed-loop control system is asymptotically stable with a prescribed H∞performance.By using integral type fuzzy Lyapunov function and introducing slack variables,two sufficient conditions for the existence of such H∞state feedback controller are proposed in terms of linear matrix inequalities.Finally,a numerical example is provided to demonstrate the effectiveness of the proposed design approaches.
作者
王东
WANG Dong(Experiment Management Center,Bohai University,Jinzhou 121013,China)
出处
《渤海大学学报(自然科学版)》
CAS
2021年第2期169-174,共6页
Journal of Bohai University:Natural Science Edition
基金
辽宁省教育厅科学研究项目(LQ2020013).