Anticontrol of chaos for a continuous-time Takagi-Sugeno fuzzy system via local time-delay feedback

In this paper, a simple and systematic control design method is proposed for making a continuous-time Takagi-Sugeno (T-S) fuzzy system chaotic. The concept of parallel distributed compensation is employed to determine the structure of a fuzzy controller from a T-S fuzzy model. The fuzzy controller makes the T-S fuzzy model, which could be stable or unstable, bounded and chaotic. The verification of chaos in the closed-loop T-S fuzzy system is done by the following procedure. First, we establish an asymptotically approximate relationship between a continuous-time T-S fuzzy system with time-delay and a discrete-time T-S fuzzy system. Then, we verify the chaos in the closed-loop T-S fuzzy system by applying the Marotto theorem to its associated discrete-time T-S fuzzy system. The generated chaos is in the sense of Li and Yorke. Two examples are given to show that this methodology is simple and effective for anticontrol of chaos for a continuous-time T-S fuzzy system. © World Scientific Publishing Company.