Closed-loop control for unstable uncertain discrete input-shaped systems

John Stergiopoulos, Anthony Tzes

Research output: Chapter in Book/Report/Conference proceedingConference contribution


This article focuses on the design of a discrete robust H∞ controller for an input-shaped, underdamped, (stable or unstable) system. The system is noiseless, uncertain, time-invariant and its characteristic polynomial coefficients are allowed to vary within predefined interval-sets. A discrete input shaper is used for the nominal system generating a pre-compensated discrete Finite Impulse Response shaped system. The shaped system's description is reformulated in order to be amenable to a robust controller synthesis. The designed H∞ controller compensates for the uncertainties of the system's parameters while providing the control command for stabilizing the system.

Original languageEnglish (US)
Title of host publication2009 American Control Conference, ACC 2009
Number of pages6
StatePublished - 2009
Event2009 American Control Conference, ACC 2009 - St. Louis, MO, United States
Duration: Jun 10 2009Jun 12 2009

Publication series

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


Other2009 American Control Conference, ACC 2009
Country/TerritoryUnited States
CitySt. Louis, MO


  • H∞ robust control
  • Input shaping

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


Dive into the research topics of 'Closed-loop control for unstable uncertain discrete input-shaped systems'. Together they form a unique fingerprint.

Cite this