Extended dynamic fuzzy logic system (DFLS) based indirect stable adaptive control of non-linear systems

The dynamic fuzzy logic system (DFLS) consists of static fuzzy logic system added with a dynamic element—the integrator—with a feedback constant α. It was shown to possess the important universal approximation capability. Further, Lee and Vukovich developed DFLS based stable indirect adaptive control scheme via Lyapunov synthesis approach for a class of non-linear systems of the form x = f(X) + bu. In this paper, this is extended so that now, it can be applied to a larger class of non-linear dynamic systems, i.e., of the form x = f(X) + g(X)u. It was successfully investigated on a chaotic system-modified Duffing's equation.