TY - GEN
T1 - On performance limitation in tracking sinusoids
AU - Su, Weizhou
AU - Qiu, Li
AU - Chen, Jie
PY - 2005
Y1 - 2005
N2 - This paper studies the performance limitation of a feedback system with a given linear time-invariant (LTI) plant in tracking a sinusoidal signal. It continues and goes beyond some recent studies in the same topic in which it is assumed that the controller can access all the past and future values of the reference signal. In this paper, we consider the more realistic (and more difficult) situation where the controller only accesses the current and past values of the reference. An explicit formula of the best attainable performance is obtained for a SISO system which depends on the nonminimum phase zeros of the plant and the frequency of the reference sinusoid. Compared to the previously studied case when the future of the reference is available, this formula clearly shows the extra effort one has to pay to predict the future values of the reference. A partial result for a MIMO system is also given. © 2005 IEEE.
AB - This paper studies the performance limitation of a feedback system with a given linear time-invariant (LTI) plant in tracking a sinusoidal signal. It continues and goes beyond some recent studies in the same topic in which it is assumed that the controller can access all the past and future values of the reference signal. In this paper, we consider the more realistic (and more difficult) situation where the controller only accesses the current and past values of the reference. An explicit formula of the best attainable performance is obtained for a SISO system which depends on the nonminimum phase zeros of the plant and the frequency of the reference sinusoid. Compared to the previously studied case when the future of the reference is available, this formula clearly shows the extra effort one has to pay to predict the future values of the reference. A partial result for a MIMO system is also given. © 2005 IEEE.
KW - Linear system structure
KW - Nonminimum phase
KW - Optimal control
KW - Performance limitation
KW - Tracking
UR - https://www.scopus.com/pages/publications/33847178691
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-33847178691&origin=recordpage
U2 - 10.1109/CDC.2005.1583155
DO - 10.1109/CDC.2005.1583155
M3 - RGC 32 - Refereed conference paper (with host publication)
SN - 0780395689
SN - 9780780395688
VL - 2005
SP - 6204
EP - 6209
BT - Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
T2 - 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC 2005
Y2 - 12 December 2005 through 15 December 2005
ER -