Publication Type:

Journal Article


Applied Soft Computing, Volume 4, Number 2, p.109 - 119 (2004)



Duffing’s equation, Dynamic fuzzy logic system, Lyapunov synthesis


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 ẋ=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 ẋ=f(X)+g(X)u. It was successfully investigated on a chaotic system-modified Duffing’s equation.

Cite this Research Publication

Dr. Oruganti Venkata Ramana Murthy, Bhatt, R. K. P., and Ahmad, N., “Extended dynamic fuzzy logic system (DFLS) based indirect stable adaptive control of non-linear systems”, Applied Soft Computing, vol. 4, pp. 109 - 119, 2004.