Robust fuzzy decentralized control for nonlinear large-scale systems with parametric uncertainties

Article type: Research Article

Authors: Tong, Shaocheng | Shi, Peng | Al-Madfai, Hasan

Affiliations: Department of Mathematics and Physics, Liaoning Institute of Technology, Jin Zhou, 121001, China | Faculty of Advanced Technology, University of Glamorgan, Pontypridd, CF37 1DL, United Kingdom

Note: [] Corresponding author. E-mail: pshi@glam.ac.uk

Abstract: This paper addresses the problem of robust fuzzy decentralized control for a class of nonlinear large-scale systems in the presence of parametric uncertainties. The Takagi-Sugeno (T-S) fuzzy system is adopted for modeling such systems. Both fuzzy state feedback decentralized controller and fuzzy observer-based decentralized controller are developed. Sufficient conditions are derived for robust stabilization in the sense of Lyapunov asymptotic stability and formulated in the format of linear matrix inequalities (LMIs). The effectiveness of the proposed fuzzy controller is finally demonstrated through numerical simulations on a two-machine interconnected system.

Keywords: Fuzzy large-scale systems, fuzzy observer, fuzzy control, robust stability

Journal: Journal of Intelligent & Fuzzy Systems, vol. 19, no. 2, pp. 85-101, 2008