Advanced feedback control of the chaotic Duffing equation

Deals with the celebrated chaotic Duffing equation with external control force. It is shown that Lyapunov direct method in conjunction with recent developments in nonlinear control yields a promising way of engineering chaotic dynamics. Among the three types of feedback controllers introduced in the paper, we particularly emphasize the value of linear feedback strategy in controlling chaos. For the forced Duffing equation, it is shown that linear feedback control laws are inherently robust to (even large) sensor errors.