Stabilization of discrete-time systems by first-order controllers

@article{Tantaris2003StabilizationOD,
  title={Stabilization of discrete-time systems by first-order controllers},
  author={Richard N. Tantaris and Lee H. Keel and Shankar P. Bhattacharyya},
  journal={IEEE Trans. Automat. Contr.},
  year={2003},
  volume={48},
  pages={858-860}
}
In this note, we consider the problem of stabilizing a given but arbitrary linear time invariant discrete-time system with transfer function P(z), by a first-order discrete-time feedback controller C(z)=(zx/sub 1/+x/sub 2/)/(z+x/sub 3/). The complete set of stabilizing controllers is determined in the controller parameter space [x/sub 1/, x/sub 2/, x/sub 3/]. The solution involves the Chebyshev representation of the characteristic equation on the unit circle. The set is shown to be computable… CONTINUE READING

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