Adaptive control of chaotic systems with uncertainties

In this paper, an adaptive control scheme, that employs a Gaussian radial b asis function network with output weights updated on-line according to the Lyapunov stability theory, is suggested for regulation of a class of chaoti c systems with uncertainties. Theoretical analysis guarantees that under th e control of the proposed adaptation law, uncertain chaotic systems can asy mptotically track target orbits within arbitrarily small tolerance bounds. As an example, control of the uncertain Duffing-Holmes system is presented with computer simulations, which verifies and visualizes the theory and des ign of the adaptive controller.