Next Article in Journal
An Optical AC Voltage Sensor Based on the Transverse Pockels Effect
Previous Article in Journal
Trust Index Based Fault Tolerant Multiple Event Localization Algorithm for WSNs
Article Menu

Export Article

Open AccessArticle
Sensors 2011, 11(7), 6575-6592; doi:10.3390/s110706575

Polynomial Method for PLL Controller Optimization

1
Institute of Civil Aviation, National Cheng-Kung University, No.1 University Road, Tainan 701, Taiwan
2
Department of Aeronautics and Astronautics, Stanford University, Stanford, CA 94305, USA
3
MediaTek Inc., No.1 Dusing Road. 1, Hsinchu Science Park, Hsinchu 30078, Taiwan
Based on “Nonlinear Phase-Locked Loop Design using Semidefinite Programming”, by Ta-Chung Wang, Tsung-Yu Chiou and Sanjay Lall, which was presented at the 16th IEEE Mediterranean Conference on Control and Automation. ©2008 IEEE.
*
Author to whom correspondence should be addressed.
Received: 12 May 2011 / Revised: 15 June 2011 / Accepted: 22 June 2011 / Published: 27 June 2011
(This article belongs to the Section Physical Sensors)
View Full-Text   |   Download PDF [687 KB, uploaded 21 June 2014]   |  

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.
Keywords: non-linear systems; phase-locked loop; optimization non-linear systems; phase-locked loop; optimization
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Wang, T.-C.; Lall, S.; Chiou, T.-Y. Polynomial Method for PLL Controller Optimization. Sensors 2011, 11, 6575-6592.

Show more citation formats Show less citations formats

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Sensors EISSN 1424-8220 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top