QUANTITATIVE DESIGN METHOD FOR MIMO LINEAR FEEDBACK SYSTEMS HAVING UNCERTAIN PLANTS.

O. Yaniv, I. M. Horowitz

Research output: Contribution to journalConference articlepeer-review

Abstract

An improvement of the quantitative feedback theory (QFT) of I. Horowitz (1982) for MIMO systems is presented. The advantages of this approach are: (a) In the improved method the fundamental design relation (for the i**t **h free function l//i ) has the form vertical 1 plus l//i vertical less than phi (b//u //v //, q//u //v ) where b//u //v are related to the performance tolerances of the closed loop, and q//u //v to the plant parameters. It is shown that the right side can be replaced by a constant. This makes the design much easier and even more economical in terms of cost of feedback. (b) The SISO systems that replace the original MIMO problem are now defined by induction. This gives a better insight into the tradeoffs between the loop transmissions and facilitates computer implementation (c) The problem is reduced to successive single-loop designs with no interaction between them and no iteration necessary. (d) Stability over the range of parameter uncertainty is automatically guaranteed. (e) The synthesis technique can handle the attenuation of plant disturbances. (f) This technique can be applied to all plants P such that all the elements of P-**1 have no (RHP) poles.

Original languageEnglish
Pages (from-to)882-887
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - 1985
Externally publishedYes

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