On performance limitation in tracking a sinusoid

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)1320-1325
Journal / PublicationIEEE Transactions on Automatic Control
Volume51
Issue number8
Publication statusPublished - Aug 2006
Externally publishedYes

Abstract

This note 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 note, 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 single-input-single-output (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 due to the lack of the reference information. A partial result for a multiple-input-multiple-output (MIMO) system is also given. © 2006 IEEE.

Research Area(s)

  • Linear system structure, Nonminimum phase, Optimal control, Performance limitation, Tracking

Citation Format(s)

On performance limitation in tracking a sinusoid. / Su, Weizhou; Qiu, Li; Chen, Jie.

In: IEEE Transactions on Automatic Control, Vol. 51, No. 8, 08.2006, p. 1320-1325.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review