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RESEARCH PAPERS

A Simplified Multi-Input Multi-Output Formulation for the Quantitative Feedback Theory

[+] Author and Article Information
O. Yaniv

Electrical Engineering Systems Department, Tel Aviv University, Tel Aviv 69978, Israel

Y. Chait

Mechanical Engineering Department, University of Massachusetts, Amherst, MA

J. Dyn. Sys., Meas., Control 114(2), 179-185 (Jun 01, 1992) (7 pages) doi:10.1115/1.2896513 History: Received April 25, 1990; Revised March 25, 1991; Online March 17, 2008

Abstract

A simplified multi input/output formulation is developed for the quantitative feedback theory (QFT) for the 2 × 2 (n = 2) case. This formulation is consistent with traditional QFT philosophy where performance is specified for each individual closed-loop transfer function and control bandwidths are minimized. The simplified formulation turns the solution of a simultaneous robust stability and robust model matching problem into a two (n in general) step procedure of solving quadratic inequalities (whose coefficients are linear functions of the plants and the performance constraints); the traditional procedure requires six (n + n2 in general) steps for a similar problem. A numerical example illustrates the simplified formulation and demonstrates its ability to offer useful insight in a control design.

Copyright © 1992 by The American Society of Mechanical Engineers
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