Robust fuzzy control for chaotic dynamics in Lorenz systems with uncertainties

This paper deals with the robust fuzzy control for chaotic systems in thepresence of parametric uncertainties. An uncertain Takagi--Sugeno fuzzy modelfor a Lorenz chaotic system is first constructed. Then a robust fuzzy statefeedback control scheme ensures the control for stable operations underbounded parametric uncertainties. For a chaotic system with knownuncertainty bounds, a robust fuzzy regulator is designed by choosing thecontrol parameters satisfying the linear matrix inequality. To verify thevalidity and effectiveness of the proposed controller design method, ananalysis technique is suggested and applied to the control of an uncertainLorenz chaotic system.