Multi‐input/single‐output computer‐aided control design using the quantitative feedback theory

Yossi Chait, Oded Yaniv

Research output: Contribution to journalArticlepeer-review

Abstract

The quantitative feedback theory is an engineering design technique of uncertain feedback systems having robust stability and robust performance specifications. The crux of the quantitative feedback theory is a transformation of robust stability and robust performance specifications into domains in the complex plane, referred to as bounds, where a nominal loop transmission should lie within. To date, a quantitative feedback theory design is being carried out using manual (i.e. graphical) procedures or search algorithms. This paper shows that there exists a formal map from the uncertain plant and each closed‐loop specification to these bounds. In particular, it is shown that each map has a closed form consisting of a quadratic inequality. These maps greatly simplify the computational aspects of the quantitative feedback theory in design of single‐loop feedback systems. Based on this new development, a simple‐to‐implement, efficient computer algorithm is outlined.

Original languageEnglish
Pages (from-to)47-54
Number of pages8
JournalInternational Journal of Robust and Nonlinear Control
Volume3
Issue number1
DOIs
StatePublished - 1993

Keywords

  • Computer‐aided control design
  • Quantitative feedback theory
  • Robustness

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