TY - GEN
T1 - Output feedback controller for cycle slipping in phase-controlled system
AU - Lu, Pingli
AU - Yang, Ying
AU - Huang, Lin
PY - 2007
Y1 - 2007
N2 - This paper concerns the problem of cycle slipping for continuous phase-controlled systems with periodic nonlinearity. The number of slipped cycles is an important property in transient mode of such nonlinear systems. Based on Yakubovich-Kalman Lemma, LMI characterizations are derived for the number of slipped cycles of such systems and an efficient way for the estimation of the number is proposed by solving a generalized eigenvalue minimization problem. Furthermore, in virtue of these results, a dynamic output feedback controller is designed to guarantee the nonexistence of cycle slipping. As a result, the transient performance of phasecontrolled system is improved. A concrete application to phaselocked loop (PLL) shows the applicability and validity of the proposed approach.
AB - This paper concerns the problem of cycle slipping for continuous phase-controlled systems with periodic nonlinearity. The number of slipped cycles is an important property in transient mode of such nonlinear systems. Based on Yakubovich-Kalman Lemma, LMI characterizations are derived for the number of slipped cycles of such systems and an efficient way for the estimation of the number is proposed by solving a generalized eigenvalue minimization problem. Furthermore, in virtue of these results, a dynamic output feedback controller is designed to guarantee the nonexistence of cycle slipping. As a result, the transient performance of phasecontrolled system is improved. A concrete application to phaselocked loop (PLL) shows the applicability and validity of the proposed approach.
UR - http://www.scopus.com/inward/record.url?scp=62749108431&partnerID=8YFLogxK
U2 - 10.1109/CDC.2007.4434306
DO - 10.1109/CDC.2007.4434306
M3 - Conference contribution
AN - SCOPUS:62749108431
SN - 1424414989
SN - 9781424414987
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 1646
EP - 1651
BT - Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 46th IEEE Conference on Decision and Control 2007, CDC
Y2 - 12 December 2007 through 14 December 2007
ER -