Limitations on maximal tracking accuracy, Part 2: Tracking sinusoidal and ramp signals

Jie Chen*, Li Qiu, Onur Toker

*Corresponding author for this work

Research output: Contribution to journalConference article published in journalpeer-review

15 Citations (Scopus)

Abstract

This paper continues an earlier work on optimal tracking problems with respect to multivariable feedback systems. We examine the error between a system's output response and its command input, which is either a sinusoidal or a ramp signal. This error is quantified under an integral square criterion, and is adopted as a measure of tracking accuracy. For both sinusoidal and ramp signals, we derive explicit expressions of the minimal tracking error attainable by all possible stabilizing controllers. These results show that the tracking accuracy may be fundamentally limited by plant nonminimum phase zeros and unstable poles together with their spatial properties, in ways dependent upon the command input signals.

Original languageEnglish
Pages (from-to)1757-1761
Number of pages5
JournalProceedings of the American Control Conference
Volume3
Publication statusPublished - 1997
Externally publishedYes
EventProceedings of the 1997 American Control Conference. Part 3 (of 6) - Albuquerque, NM, USA
Duration: 4 Jun 19976 Jun 1997

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