Low-Order Stabilizer Design for Discrete Linear Time-Varying Internal Model-Based System

Xingyong Song, Pradeep Kumar Gillella, Zongxuan Sun

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


This paper focuses on the low-order stabilizer design for linear time-varying (LTV) internal model-based system in the discrete time domain. While an output feedback gain injection-based stabilizer was proposed for continuous LTV systems in previous work, the synthesis in discrete domain has its unique challenges, and the approach formulated in the continuous domain cannot be directly applied. In this paper, the stabilization for LTV internal model-based control in the discrete setting is formulated, its challenges are revealed, and two control synthesis methods are presented. The merits and limitations of both approaches are discussed and then further studied through simulation and experimental investigations.

Original languageEnglish (US)
Article number7091925
Pages (from-to)2666-2677
Number of pages12
JournalIEEE/ASME Transactions on Mechatronics
Issue number6
StatePublished - Dec 2015

Bibliographical note

Funding Information:
The work was supported in part by the National Science Foundation under Grant CMMI-1150957.


  • Discrete time-varying internal model
  • low-order LPV stabilization
  • time-varying output regulation
  • time-varying repetitive control

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