Journal of Beijing University of Posts and Telecommunications

  • EI核心期刊

JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM ›› 2011, Vol. 34 ›› Issue (1): 135-149.doi: 10.13190/jbupt.201101.135.guog

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Feedback Control for a Class of Interconnected  Systems Based Fuzzy Bilinear Model

  

  • Received:2009-11-30 Revised:2010-09-27 Online:2011-02-28 Published:2011-02-28

Abstract:

Based on improved Lyapunov function, a new method is proposed to analyze the problem of decentralized static output feedback control for a class of nonlinear interconnected systems composed with a number of TakagiSugeno fuzzy bilinear subsystems with interconnections. By constructing a new Lyapunov function, some sufficient stabilization conditions are derived for the whole closeloop fuzzy interconnected systems. The stabilization conditions got by loosing the restricted conditions in the proving have less conservativeness than the existing methods. The corresponding decentralized fuzzy controller design is converted into a convex optimization problem with linear matrix inequality constraints. Analysis and simulation show that the proposed wethod has a better stabilization property.

Key words: nonlinear interconnected system, fuzzy bilinear model, decentralized control, static output feedback control, linear matrix inequality