Jia Xinchun, Zhang Dawei, Hao Xinghua, Zheng Nanning
IEEE Trans Syst Man Cybern B Cybern. 2009 Aug;39(4):1073-1079. doi: 10.1109/TSMCB.2008.2010524. Epub 2009 Mar 24.
This paper investigates the fuzzy tracking control problem for a class of nonlinear networked control systems (NCSs) with a prescribed H(infinity) tracking performance. Such NCSs consist of a nonlinear controlled plant, a tracked plant, sensors, a controller, and an actuator. A Takagi-Sugeno fuzzy model is employed to represent the nonlinear controlled plant in the NCSs, and a tracked plant is described by a linear stable reference model. In transmission, both network-induced delay and packet losses are considered. By the parallel distributed compensation technique, a novel tracking model of the nonlinear NCSs is first established. Based on Lyapunov stability theory, a control design method that guarantees the prescribed H(infinity) tracking performance of the nonlinear NCSs is developed in terms of linear matrix inequalities. Finally, a numerical example is given to illustrate the effectiveness of our result.
本文研究了一类具有规定H∞跟踪性能的非线性网络控制系统（NCSs）的模糊跟踪控制问题。此类NCSs由一个非线性被控对象、一个被跟踪对象、传感器、一个控制器和一个执行器组成。采用Takagi-Sugeno模糊模型来表示NCSs中的非线性被控对象，并用一个线性稳定参考模型来描述被跟踪对象。在传输过程中，同时考虑了网络诱导时延和数据包丢失。通过并行分布补偿技术，首先建立了非线性NCSs的一种新型跟踪模型。基于Lyapunov稳定性理论，根据线性矩阵不等式，提出了一种保证非线性NCSs具有规定H∞跟踪性能的控制设计方法。最后，给出了一个数值例子来说明我们结果的有效性。
