T-S模糊系统H_∞跟踪控制器设计

H_∞ tracking controller design for T-S fuzzy systems

研究了连续T-S模糊系统H_∞跟踪控制器的设计问题.主要目的是针对连续T-S模糊系统设计H_∞跟踪控制器,使得系统在渐进稳定的前提下,同时满足给定的H_∞跟踪性能指标.通过应用积分型Lyapunov函数得到保守性更低的稳定性分析条件,再通过有效的矩阵变换技术实现松弛变量的引入,从而得到保守性更低的H_∞跟踪控制器的设计条件.最后我们通过仿真算例验证了所提方法的有效性.

This paper fuzzy systems. Attention is asymptotically stable with a investigates problem of designing H∞ tracking focused on the design of a tracking controller such prescribed H∞ tracking performance. More specifi controller for continuous -time T -S that the close -loop control system is cally, less conservative conditions are expressed by introducing more slack variables and using the fuzzy Lyapunov function. Finally, a numerical example is provided to demonstrate the proposed approach effectiveness.