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Output feedback stabilization of uncertain dynamical systems

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2 Author(s)
Steinberg, A. ; Technion-Israel Institute of Technology, Haifa, Israel ; Corless, M.

Given an uncertain dynamical system with a linear nominal part, matched uncertainties, and a measured output, a sufficient condition is given for the existence of an output feedback stabilizing controller. For the general multiinput multioutput case, checking the sufficient condition involves the selection of a matrixF. For the special class of single input single output systems,Fis a positive or negative scalar and it is shown that if the nominal system transfer function is strictly positive real, then an output feedback stabilizing controller does indeed exist.

Published in:

Automatic Control, IEEE Transactions on  (Volume:30 ,  Issue: 10 )