Multi‐input/single‐output computer‐aided control design using the quantitative feedback theory
- 1 January 1993
- journal article
- research article
- Published by Wiley in International Journal of Robust and Nonlinear Control
- Vol. 3 (1) , 47-54
- https://doi.org/10.1002/rnc.4590030103
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.Keywords
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