Robust stabilization of uncertain chaotic systems via interval fuzzy control

This paper presents a robust interval fuzzy control scheme to stabilize a class of uncertain chaotic systems with H performance. First, we apply the Takagi-Sugeno (T-S) fuzzy modelling scheme to the uncertain chaotic systems to obtain the corresponding T-S interval fuzzy model. Next, the parallel distributed compensation (PDC) method is employed to derive the fuzzy controller. The quadratic stabilizability and performance problem of the interval fuzzy control system with disturbances are then solved. Both the quadratic stability condition and performance are represented by linear matrix inequality (LMI) problems. Finally, an uncertain chaotic system is utilized to demonstrate the feasibility and validity of the proposed interval fuzzy control scheme.