Unified impulsive fuzzy-model-based controllers for chaotic systems with parameter uncertainties via LMI |
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| Authors: | Xiaohong Zhang Anmar Khadra Dan Yang Dong Li |
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| Institution: | aSchool of Software Engineering, Chongqing University, Chongqing 400030, PR China;bDepartment of Mathematics, University of British Columbia, Vancouver, BC, Canada V6T 1Z2;cCollege of Mathematics & Physics, Chongqing University, Chongqing 400030, PR China |
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| Abstract: | In this paper, a novel technique based on impulsive fuzzy T–S model is proposed for controlling chaotic systems with parameter uncertainties. According to this new model, a unified methodology for establishing robust stability, asymptotic stability and exponential stability of impulsive controllers is developed. Various robust stability conditions are presented in the form of linear matrix inequalities (LMI). A simple iterative algorithm is also provided for calculating design parameters based on LMI techniques. Finally, a typical design procedure is developed by using well-known chaotic systems for illustration, accompanied by several numerical simulations to demonstrate the validity of the proposed methodology. |
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| Keywords: | Uncertainty Chaos control Impulsive fuzzy model T– S model Linear matrix inequality |
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