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Pole assignment for uncertain systems in a specified disk by state feedback

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2 Author(s)
Garcia, G. ; Lab. d''Autom. et d''Anal. des Syst., CNRS, Toulouse, France ; Bernussou, J.

This paper presents a method for assigning the poles in a specified disk by state feedback for a linear discrete or continuous time uncertain system, the uncertainty being norm bounded. For this the “quadratic d stabilizability” concept which is the counterpart of quadratic stabilizability in the context of pole placement is defined and a necessary and sufficient condition for quadratic d stabilizability derived. This condition expressed as a parameter dependent discrete Riccati equation enables one to design the control gain matrix by solving iteratively a discrete Riccati equation

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Automatic Control, IEEE Transactions on  (Volume:40 ,  Issue: 1 )