基于隶属度函数偏差的非线性网络控制系统的H_∞跟踪控制

H_∞ Tracking Control for Nonlinear Networked Control Systems Based on Deviation of Membership Function

研究带有丢包和时滞的非线性网络控制系统的输出跟踪控制问题,用带有外部干扰的T-S模糊模型表示被控对象.不同于现存的基于T-S模型的网络控制系统的跟踪控制方法,在设计跟踪控制器的过程中考虑了隶属度函数的偏差信息.根据网络特性和非平行分布补偿(non-PDC)方案建立跟踪控制模型.基于Lyapunov稳定性理论和线性矩阵不等式(LMI)技术给出了隶属度函数偏差依赖的控制器存在的充分条件,保证了闭环网络控制系统的给定H∞跟踪性能.通过一个数值例子证明了所提方法的有效性.

The problem of output tracking control for nonlinear networked control systems with packet loss and delay was investigated,where controlled object was represented by a T-S fuzzy model with external disturbance.Unlike the existing tracking control methods of networked control systems based on T-S model,the membership function deviation information was considered in the process of designing tracking controller.The tracking control model was established according to network characteristics and non-parallel distributed compensation(non-PDC) scheme.Based on Lyapunov stability theory and linear matrix inequalities(LMI) technology,a sufficient condition for the existence of the controller depends on the membership function deviation was given to guarantee that prescribed H∞ tracking performance of the closed-loop networked control systems.A numerical example was given to illustrate the effectiveness of the proposed method.