基于T-S模糊模型的采样数据网络控制系统H∞输出跟踪控制

H_∞ Output Tracking Control for Sampled-data Networked Control Systems in T-S Fuzzy Model

研究具有采样数据的基于T-S(Takagi-Sugeno)模糊模型网络控制系统H∞输出跟踪控制问题.提出将采集器端数据采样周期、数据传输时滞和数据丢包转换为零阶保持器端数据更新周期,在此基础上,利用输入时滞法和PDC(Parallel distributed compensation)技术,建立网络环境下被控对象和参考模型合并的基于T-S模糊模型的增广系统模型.通过Lyapunov方法,并充分利用采样特性,给出系统实现H∞输出跟踪的充分条件,以及可靠模糊控制器的设计.仿真结果表明所设计模糊控制器能够实现该类系统良好的跟踪.

This paper studies the problem of Ho~ output track- ing control for sampled-data networked control systems in T-S （Takagi-Sugeno） fuzzy model. By using input-delay and par- allel distributed compensation （PDC） techniques, an augment tracking model based on T-S fuzzy model is firstly established, in which the sampling period of the sampler, signal transmission delay and data packet dropouts are transformed to the refreshing interval of a zero-order holder. Furthermore, Lyapunov method is employed to derive several sufficient criteria ensuring the pre- scribed H∞ tracking performance. Meanwhile, a fuzzy controller design is also presented. Finally, a numerical example is given to illustrate that the designed fuzzy controller can realize good tracking.