Abstract
The current study on anticontrol of chaos for both discrete-time and continuous-time Takagi-Sugeno (TS) fuzzy systems is reviewed. To chaotifying discrete-time TS fuzzy systems, the parallel distributed compensation (PDC) method is employed to determine the structure of a fuzzy controller so as to make all the Lyapunov exponents of the controlled TS fuzzy system strictly positive. But for continuous-time ones, the chaotification approach is based on the fuzzy feedback linearization and a suitable approximate relationship between a time-delay differential equation and a discrete map. The time-delay feedback controller, chosen among several candidates, is a simple sinusoidal function of the delayed states of the system, which can have an arbitrarily small amplitude. These anticontrol approaches are all proved to be mathematically rigorous in the sense of Li and Yorke. Some examples are given to illustrate the effectiveness of the proposed anticontrol methodologies.
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