Title: Modelling and stability analysis of nonlinear networked control systems based on quasi T-S fuzzy model

Authors: Hong Zhang; Huajing Fang; Quanmin Zhu

Addresses: College of Physics and Information Engineering, Jianghan University, Wuhan, Hubei, 430056, China ' Department of Control Science and Engineering, HuaZhong University Science and Technology, Wuhan, Hubei, 430074, China ' Department of Engineering Design and Mathematics, University of the West of England, Frenchay Campus, Coldharbour Lane, Bristol, BS16 1QY, UK

Abstract: This study presents a two-level quasi T-S fuzzy (QTS) model to represent nonlinear networked control systems (NCSs), which takes the performance of network with time-delay and data packet dropouts into the investigations. At the operation points of nonlinear NCS, the subsystem is regarded as linear system modelling by QTS, then the global model of nonlinear is fuzzy fused by linear subsystem. This study constructs the corresponding system model, in which the stability of the system is proved with linear matrix inequality (LMI). A nonlinear system is selected to demonstrate the feasibility and efficiency through numerical analysis. The study provides a new model of nonlinear NCS, and further research work can be done under this model, such as observer designing and fault diagnosis and tolerance control of nonlinear NCS.

Keywords: nonlinear NCS; networked control systems; T-S fuzzy model; linear matrix inequality; LMI; system stability; time delay; data packet dropout; modelling; stability analysis.

DOI: 10.1504/IJMIC.2015.071702

International Journal of Modelling, Identification and Control, 2015 Vol.24 No.1, pp.42 - 51

Received: 04 Dec 2014
Accepted: 12 Jan 2015
Published online: 15 Sep 2015 *

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