Robust sliding mode control for fuzzy conjugate Lorenz chaotic system

The conjugate Lorenz chaotic system is a newly coined chaotic system. In this paper, the Takagi-Sugeno (T-S) fuzzy model for the chaotic system is presented; then based on Lyapounv stability theory and using the linear matrix inequalities (LMIs) technique, the robust sliding mode controller for the T-S fuzzy conjugate Lorenz system with uncertainties was designed. The obtained sliding mode controller guarantees the global fuzzy conjugate Lorenz system confined on the sliding surface is asymptotically stable. Finally, numerical simulations are given to illuminate the effectiveness of the theoretical results.