Trajectory tracking and disturbance rejection for linear time-varying systems: Input/output representation

Zongxuan Sun, Zhen Zhang, Tsu Chin Tsao

Research output: Contribution to journalArticlepeer-review

52 Scopus citations

Abstract

This paper considers the problem of asymptotic trajectory tracking and/or disturbance rejection for linear time-varying systems via input/output representation. Inspired by the structure of repetitive control, a novel feedback mechanism is proposed based on which the necessary and sufficient condition for the problem is derived. This condition is a generalization to the time-varying case of the result in time-invariant setting. Based on the complete knowledge of the plant model, a design is provided and it is applicable to repetitive control for time-varying plants. An important feature of the proposed approach is that a systematic way of constructing time-varying internal model unit is provided.

Original languageEnglish (US)
Pages (from-to)452-460
Number of pages9
JournalSystems and Control Letters
Volume58
Issue number6
DOIs
StatePublished - Jun 2009

Bibliographical note

Funding Information:
This work has been supported in part by General Motors Research and Development Center.

Keywords

  • Linear time-varying systems
  • Output regulation
  • Polynomial fraction
  • Repetitive control
  • Servomechanism

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