Synthesis of strongly stable state-derivative controllers for a time-delay system using constrained non-smooth optimization

@article{Vyhldal2010SynthesisOS,
  title={Synthesis of strongly stable state-derivative controllers for a time-delay system using constrained non-smooth optimization},
  author={Tom{\'a}s Vyhl{\'i}dal and Wim Michiels and Paul McGahan},
  journal={IMA J. Math. Control & Information},
  year={2010},
  volume={27},
  pages={437-455}
}
The paper presents an optimization-based algorithm for stabilizing retarded systems using a statederivative feedback controller. It is shown that an application of such a controller results in neutral dynamics of the closed-loop system if small feedback delays occur. Therefore, the strong stability theory of neutral systems needs to be considered in the controller synthesis problem. The stabilization approach is based on minimizing the spectral abscissa of the closed-loop system over the… CONTINUE READING
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