Control of Lorenz-StenfloChaotic System via Takagi-SugenoFuzzy Model Based on Linear Matrix Inequality

This paper investigates the chaos control problem for Lorenz-Stenflo chaotic system with uncertain parameters. Based on the interval matrix theory, the Takagi-Sugeno(T-S)fuzzy model is applied to the Lorenz-Stenflo chaotic system with uncertain parameters.Based on theLyapunov stability theorem, the sufficient stabilitycondition for the Lorenz-Stenflo chaotic system is presented as a set of linear matrix inequality (LMI) forthe first time and the strict mathematical norms of LMI are given. Then the controller feedback gain can be obtained by solving a set of linear matrix inequality. Finally, simulation results for the Lorenz-Stenflo chaotic system are provided to illustrate the effectiveness of the proposed scheme.

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