Nonlinear Phase-Locked Loop design using semidefinite programming

Wang, Ta-Chung; Chiou, Tsung-Yu; Lall, Sanjay

doi:10.1109/med.2008.4602142

Cited by 6 publications

(1 citation statement)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A preliminary version of this paper was presented in 16th IEEE Mediterranean Conference on Control and Automation (MED’08) [ 23 ]. The first two authors were partially supported by by the Stanford URI Architectures for Secure and Robust Distributed Infrastructures , AFOSR DoD award number 49620-01-1-0365.…”

mentioning

confidence: 99%

Polynomial Method for PLL Controller Optimization

Wang

Lall

Chiou

2011

Sensors

Self Cite

View full text Add to dashboard Cite

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.

show abstract

mentioning

confidence: 99%