A new approach to quadratic stability for uncertain nonlinear systems

DU Zhen-bin, CHEN Wei-sheng, SONG Yi-bin, WANG Pei-jin

Systems Engineering - Theory & Practice ›› 2011, Vol. 31 ›› Issue (9) : 1784-1789.

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Systems Engineering - Theory & Practice ›› 2011, Vol. 31 ›› Issue (9) : 1784-1789. DOI: 10.12011/1000-6788(2011)9-1784

A new approach to quadratic stability for uncertain nonlinear systems

  • DU Zhen-bin1, CHEN Wei-sheng2, SONG Yi-bin1, WANG Pei-jin1
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Abstract

This paper addresses the problem of quadratic stability for a class of uncertain nonlinear systems using fuzzy technique. Fuzzy T-S model and fuzzy logic systems are used to model the nonlinear systems. The fuzzy controller is designed such that the closed-loop system is quadratically stable and satis es the desired L2 norm bound. The main advantage is that the designer makes no constraint assumption for the approximating error arisen from fuzzy T-S model and the uncertainties in nonlinear systems. Simulation results demonstrate the e ectiveness of the developed control scheme.

Key words

fuzzy T-S model / fuzzy logic systems / nonlinear systems / uncertainties / quadratic stability

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DU Zhen-bin, CHEN Wei-sheng, SONG Yi-bin, WANG Pei-jin. A new approach to quadratic stability for uncertain nonlinear systems. Systems Engineering - Theory & Practice, 2011, 31(9): 1784-1789 https://doi.org/10.12011/1000-6788(2011)9-1784

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