IEEE Transactions on Automatic Control, Vol.40, No.1, 184-190, 1995
Pole Assignment for Uncertain Systems in a Specified Disk by State-Feedback
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 to design the control gain matrix by solving iteratively a discrete Riccati equation.