基于T-S模糊模型非线性网络控制系统改进H∞跟踪控制

Improved H-infinity tracking control for nonlinear networked control systems based on T-S fuzzy model

中文关键词  非线性网络控制系统  T-S模糊模型  跟踪控制  输入时滞  线性矩阵不等式(LMI)

英文关键词  nonlinear networked control systems  Takagi-Sugeno (T-S) fuzzy model  tracking control  input-delay  linear matrix inequality (LMI)

中文摘要

      研究一类非线性网络控制系统改进H∞跟踪控制问题, 该类网络控制系统中非线性被控对象和被跟踪对象分别采用Takagi-Sugeno(T-S)模糊模型和线性稳定参考模型描述. 首先通过综合考虑网络中的数据传输时滞和数据丢包影响, 采用输入时滞法和并行分布补偿技术, 建立基于零阶保持器刷新时刻的系统状态跟踪误差模型. 然后利用改进的自由权矩阵方法, 并结合Lyapunov直接法给出系统满足H∞跟踪性能的充分条件以及模糊控制器的设计方法. 最后仿真实例表明本文方法的有效性和相比已有方法的优越性.

英文摘要

      The H-infinity tracking control problem is studied for a class of nonlinear networked control systems (NCSs). In NCSs, a Takagi-Sugeno fuzzy model is adopted to describe the nonlinear controlled plant, and the tracked plant is represented by a linear stable reference model. By using input-delay and parallel distributed compensation (PDC) techniques, we build a novel state tracking error model based on the system states at the updating instant of a zero-order holder in which both network-induced delay and data packet dropouts are considered. Furthermore, an improved weight-free matrix approach and the Lyapunov stability theory are employed to derive several sufficient criteria ensuring the prescribed H-infinity tracking performance of the nonlinear NCSs. Meanwhile, the fuzzy controller design method is also presented. Finally, a numerical example is given to demonstrate the usefulness and the advantages of the proposed scheme.