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

作　　者：肖会芹[1,2] 何勇[1] 吴敏[1] 肖伸平[2] 

机构地区：[1]中南大学信息科学与工程学院,湖南长沙410083 [2]湖南工业大学电气与信息工程学院,湖南株洲412008

出　　处：《控制理论与应用》2012年第1期71-78,共8页Control Theory & Applications

基　　金：国家自然科学基金资助项目(60974026);国家博士点基金资助项目(200805330004);国家杰出青年科学基金资助项目(61125301);湖南省教育厅资助项目(10C0627)

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.The Hinfinity tracking control problem is studied for a class of nonlinear networked control systems （NCSs）. In NCSs, a TakagiSugeno fuzzy model is adopted to describe the nonlinear controlled plant, and the tracked plant is represented by a linear stable reference model. By using inputdelay 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 zeroorder holder in which both networkinduced delay and data packet dropouts are considered. Furthermore, an improved weightfree matrix approach and the Lyapunov stability theory are employed to derive several sufficient criteria ensuring the prescribed Hinfinity 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.

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) 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]