TY - GEN
T1 - Nonlinear phase-locked loop design using semidefinite programming
AU - Wang, Ta-Chung
AU - Chiou, Tsung Yu
AU - Lall, Sanjay
PY - 2008/10/6
Y1 - 2008/10/6
N2 - 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 (GPS) 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 sumof-squares (SOS) field. A Lyapunov function will be searched as the certificate of the lock-in region of the PLL system. Moreover, the polynomial design technique will be used to further refine the controller parameters for system response away from the equilibrium point. Various simulation results will be provided to show the effectiveness of this approach.
AB - 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 (GPS) 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 sumof-squares (SOS) field. A Lyapunov function will be searched as the certificate of the lock-in region of the PLL system. Moreover, the polynomial design technique will be used to further refine the controller parameters for system response away from the equilibrium point. Various simulation results will be provided to show the effectiveness of this approach.
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U2 - 10.1109/MED.2008.4602142
DO - 10.1109/MED.2008.4602142
M3 - Conference contribution
AN - SCOPUS:52949128358
SN - 9781424425051
T3 - 2008 Mediterranean Conference on Control and Automation - Conference Proceedings, MED'08
SP - 1640
EP - 1645
BT - 2008 Mediterranean Conference on Control and Automation - Conference Proceedings, MED'08
T2 - 2008 Mediterranean Conference on Control and Automation, MED'08
Y2 - 25 June 2008 through 27 June 2008
ER -