Chaotifying continuous-time TS fuzzy systems via discretization

An approach is proposed for making a given stable continuous-time Takagi-Su geno (TS) fuzzy-system chaotic, by first discretizing it and then using sta te feedback control of arbitrarily small magnitude. The feedback controller chosen among several candidates is a simple sinusoidal function of the sys tem states, which can lead to uniformly bounded state vectors of the contro lled system with positive Lyapunov exponents, and satisfy the chaotic mecha nisms of stretching and folding, thereby yielding chaotic dynamics. This ap proach is mathematically proven for rigorous generation of chaos from a sta ble continuous-time TS fuzzy system, where the generated chaos is in the se nse of Li and Yorke. A numerical example is included to visualize the theor etical analysis and the controller design.