• Corpus ID: 240419814

Saturated feedback stabilizability to trajectories for the Schl\"{o}gl parabolic equation

  title={Saturated feedback stabilizability to trajectories for the Schl\"\{o\}gl parabolic equation},
  author={Behzad Azmi and Karl Kunisch and S{\'e}rgio S. Rodrigues},
It is shown that there exist a finite number of indicator functions, which allow us to track an arbitrary given trajectory of the Schlögl model, by means of an explicit saturated feedback control input whose magnitude is bounded by a constant independent of the given targeted trajectory. Simulations are presented showing the stabilizing performance of the explicit feedback constrained control. Further, such performance is compared to that of a receding horizon constrained control minimizing the… 



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  • M. Slemrod
  • Mathematics
    Math. Control. Signals Syst.
  • 1989
A feedback control is derived, which forces the infinite-dimensional control systemdu/dt=Au+Bf, u(0)=uo≠H to have the asymptotic behavioru(t)→0 ast→∞ inH.

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