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On several variable zero sets and application to MIMO robust feedback stabilization

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3 Author(s)

Given a complex-valued functionfwhich depends onmreal variabless_1,cdots,s_mandncomplex parametersA_1,cdots,A_n, we describe a method of finding the zero setVof all zeros offin some given setGinR^mwhen each parameterA_iis allowed to vary in some given setK_iin the extended complex planeoverline{bf C} = {bf C} cup{infty}. This mathematical tool is applied in the paper to determine the complete space of output (or state) feedback gains, which allows robust stabilization of a linear MIMO system under uncertainty conditions. The system may be continuous or discrete. Also, the stabilization may be "relative," i.e., with safety margins. Design examples are provided.

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Circuits and Systems, IEEE Transactions on  (Volume:34 ,  Issue: 10 )