Singular perturbation analysis of linear systems with scalar quantized control

B. S. Heck*, A. H. Haddad

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


The effect of a scalar quantized control input on an otherwise linear, singularly perturbed control system is analyzed. The cases of open loop and closed loop control are studied. Analytical techniques are derived that allow the decoupling of such systems into fast and slow subsystems for analysis and design. The results of a numerical example are given to demonstrate these techniques.

Original languageEnglish (US)
Pages (from-to)755-764
Number of pages10
Issue number6
StatePublished - Nov 1988


  • Singular perturbations
  • bang-bang control
  • model reduction
  • nonlinear control systems
  • piecewise-linear techniques
  • quantized control
  • relay control

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering


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