### Abstract

A series of multi objective QTR H-infinity designproblems are
considered in this paper. The problems are formulatedas a number
of coupled QTR H-infinity design problems. TheseQTR H-infinity
problems can be formulated as sensitivityproblems, complementary
sensitivity problems, or control sensitivityproblems for every
output (or input) in the system. It turns out thatthese multi
objective QTR H-infinity design problems, based ona number of
different types of sensitivity problems, can be exactlydecoupled
into k\QTR H-infinity sensitivity problems for stablesystems,
where k is the number of outputs (for unstable systems,independent
stabilization is required). Further, it is shown how to usesimilar
techniques to incorporate simultaneous specifications for
differentcontrol objectives such as QTR H-infinity, etc., for the
sensitivities.

Original language | English |
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Number of pages | 15 |
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Publication status | Published - 1996 |

## Cite this

Stoustrup, J., & Niemann, H. H. (1996).

*Sensitivity Synthesis for MIMO Systems: A Multi Objective H^2 Approach*.