Maximizing the stability region for a second order PLL system

Author

Gundrum, Harry C. ; Rizkalla, Maher E.

Author_Institution

Dept. of Electr. Eng., Purdue Univ., Indianapolis, IN, USA

Volume

2

fYear

1994

fDate

3-5 Aug 1994

Firstpage

1343

Abstract

In this work, a general second order scheme using a geometric approach for determining the stability bounds of a system described in the state variables is developed. This scheme is applied to Phase-locked Loop systems, PLLs, to optimize the eigenvalues by shifting the pole locations of the low pass filter of the PLLs for maximum range of stability. The system has been utilized in frequency synthesis applications and the maximum range of stability is demonstrated at various step frequencies. The maximum range of the stability is determined. The simulations of a general second order PLL system is demonstrated and the results of the phase plane plots show a general agreement with the analysis

Keywords

circuit stability; eigenvalues and eigenfunctions; phase locked loops; poles and zeros; state-space methods; eigenvalues; frequency synthesis applications; geometric approach; low pass filter; phase plane plots; pole locations; second order PLL system; stability bounds; stability region; state variables; step frequencies; Analytical models; Eigenvalues and eigenfunctions; Equations; Frequency synthesizers; Linear matrix inequalities; Low pass filters; Matrix decomposition; Null space; Phase locked loops; Stability; State-space methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1994., Proceedings of the 37th Midwest Symposium on

Conference_Location

Lafayette, LA

Print_ISBN

0-7803-2428-5

Type

conf

DOI

10.1109/MWSCAS.1994.519057

Filename

519057