A Simplified Multi-Input Multi-Output Formulation for the Quantitative Feedback Theory
- 1 June 1992
- journal article
- Published by ASME International in Journal of Dynamic Systems, Measurement, and Control
- Vol. 114 (2) , 179-185
- https://doi.org/10.1115/1.2896513
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.Keywords
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