Polynomial method for PLL controller optimization

Ta Chung Wang, Sanjay Lall, Tsung Yu Chiou

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

The Phase-Locked Loop (PLL) is a key component of modern electronic communication and control systems. PLL is designed to extract signals from transmission channels. It plays an important role in systems where it is required to estimate the phase of a received signal, such as carrier tracking from global positioning system satellites. In order to robustly provide centimeter-level accuracy, it is crucial for the PLL to estimate the instantaneous phase of an incoming signal which is usually buried in random noise or some type of interference. This paper presents an approach that utilizes the recent development in the semi-definite programming and sum-of-squares field. A Lyapunov function will be searched as the certificate of the pull-in range of the PLL system. Moreover, a polynomial design procedure is proposed to further refine the controller parameters for system response away from the equilibrium point. Several simulation results as well as an experiment result are provided to show the effectiveness of this approach.

Original languageEnglish
Pages (from-to)6575-6592
Number of pages18
JournalSensors
Volume11
Issue number7
DOIs
Publication statusPublished - 2011 Jul

All Science Journal Classification (ASJC) codes

  • Analytical Chemistry
  • Biochemistry
  • Atomic and Molecular Physics, and Optics
  • Instrumentation
  • Electrical and Electronic Engineering

Fingerprint Dive into the research topics of 'Polynomial method for PLL controller optimization'. Together they form a unique fingerprint.

Cite this