Nonlinear time-varying compensation for simultaneous performance

Jeff S. Shamma*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


This short note considers the use of nonlinear time- varying compensation for linear time-invariant discrete-time plants. It is shown via counterexample that the problem of simultaneous performance presents fundamental limitations which cannot be overcome by nonlinear time-varying compensation. This result is in contrast to results on simultaneous stabilization which show that limitations due to linear compensation may be removed using nonlinear time-varying compensation. As a corollary of these results, the conjecture that achievable disturbance rejection over stable nonlinear time-varying compensation equals that for linear compensation is refuted.

Original languageEnglish (US)
Pages (from-to)357-360
Number of pages4
JournalSystems and Control Letters
Issue number4
StatePublished - Nov 1990
Externally publishedYes


  • Nonlinear time-varying compensation
  • disturbance rejection
  • linear systems
  • simultaneous performance
  • stabilization

ASJC Scopus subject areas

  • Control and Systems Engineering
  • General Computer Science
  • Mechanical Engineering
  • Electrical and Electronic Engineering


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