Control of Bifurcation and Chaos in a Class of Digital Tanlock Loops with Modified Loop Structure

Abstract

A detailed parametric space study of the nonlinear behavior of a kind of Digital Tanlock Loops (DTL) incorporating a modified loop structure using a time delayed feedback technique has been studied in this paper. The analytical study reveals that the modified loop shows better performance compared to a conventional DTL (CDTL). The superiority of the modified DTL (MDTL) has been established by a numerical simulation study. Two parameter bifurcation diagrams, supported by Lyapunov exponent spectrums, have been used to give a detailed idea about the nonlinear dynamics of the loop for a wide parameter range. The MDTL shows large frequency acquisition range (FAR) and faster convergence time (CT) than a CDTL for suitably chosen values of the design parameter. An estimate for the optimum value of the structure parameter for quick convergence has also been presented in the present study.