FUNDAMENTAL PERFORMANCE LIMITATIONS IN TRACKING SINUSOIDAL SIGNALS

Weizhou Su, Li Qiu, Jie Chen

Research output: Chapters, Conference Papers, Creative and Literary WorksRGC 32 - Refereed conference paper (with host publication)peer-review

1 Citation (Scopus)

Abstract

This paper attempts to give a thorough treatment of the performance limitation of a linear time invariant multivariable system in tracking a reference signal which is a linear combination of a step signal and several sinusoids with different frequencies. The tracking performance is measured by an integral square error between the output of the plant and the reference signal. Our purpose is to find the fundamental limitation for the attainable tracking performance, under any control structure and parameters, in terms of the characteristics and structural parameters of the given plant, as well as those of the reference signal under consideration. It is shown that this fundamental limitation depends on the interaction between the reference signal and the nonminimum phase zeros of the plant and their frequency-dependent directional information. The main results of this paper are based on the assumption that the controller accesses the full information of the reference. However, when the full information of the reference is unavailable, we also obtain a simple performance limit, for an important special case, which clearly shows the extra cost one has to pay due to the information restriction. © 2003 IEEE.
Original languageEnglish
Title of host publicationProceedings of the 2003 American Control Conference
Place of Publication0-7803-7896-2
PublisherIEEE
Pages5335-5340
Volume6
ISBN (Electronic)0-7803-7896-0
DOIs
Publication statusPublished - 2003
Externally publishedYes
Event2003 American Control Conference (ACC 2003) - The Adams Mark Hotel, Denver, United States
Duration: 4 Jun 20036 Jun 2003

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

Conference

Conference2003 American Control Conference (ACC 2003)
Country/TerritoryUnited States
CityDenver
Period4/06/036/06/03

Research Keywords

  • Linear system
  • Nonminimum phase
  • Optimal Control
  • Performance limitation
  • Tracking

Fingerprint

Dive into the research topics of 'FUNDAMENTAL PERFORMANCE LIMITATIONS IN TRACKING SINUSOIDAL SIGNALS'. Together they form a unique fingerprint.

Cite this