On Feedback Stabilization of Linear Systems

@article{Kabamba1986OnFS,
  title={On Feedback Stabilization of Linear Systems},
  author={Pierre T. Kabamba and Richard W. Longman and Sun Jian-Guo},
  journal={1986 American Control Conference},
  year={1986},
  pages={318-319}
}
Constant gain fixed order controllers for linear systems are considered. A necessary and sufficient condition for the stabilizability of such a system by a chosen order controller is established. When fixed order controllers are designed to be optimal with respect to a quadratic cost, the usual gradient search algorithm requires a starting value which is a stabilizing controller, and such starting values can be hard to find. A method is proposed and studied for obtaining starting values by a… CONTINUE READING
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