Boundary control of an unstable heat equation via measurement of domain-averaged temperature

@article{Boskovic2001BoundaryCO,
  title={Boundary control of an unstable heat equation via measurement of domain-averaged temperature},
  author={Dejan M. Boskovic and Miroslav Krstic and Weijiu Liu},
  journal={IEEE Trans. Automat. Contr.},
  year={2001},
  volume={46},
  pages={2022-2028}
}
In this note, a feedback boundary controller for an unstable heat equation is designed. The equation can be viewed as a model of a thin rod with not only the heat loss to a surrounding medium (stabilizing) but also the heat generation inside the rod (destabilizing). The heat generation adds a destabilizing linear term on the right-hand side of the equation… CONTINUE READING

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