Fuzzy H∞ tracking control for nonlinear networked control systems in T-S fuzzy model

Authors:
Xinchun Jia;Dawei Zhang;Xinghua Hao;Nanning Zheng
Affiliations:
School of Mathematical Sciences, Shanxi University, Taiyuan, China;School of Mathematical Sciences, Shanxi University, Taiyuan, China;School of Mathematical Sciences, Shanxi University, Taiyuan, China;Institute of Artificial Intelligence and Robotics, Xi'an Jiaotong University, Xi'an, China
Venue:
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics - Special issue on cybernetics and cognitive informatics
Year:
2009

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Abstract

This paper investigates the fuzzy tracking control problem for a class of nonlinear networked control systems (NCSs) with a prescribed H∞ 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∞ 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.