Robust numerical methods for robust control

@inproceedings{Benner2004RobustNM,
  title={Robust numerical methods for robust control},
  author={Peter Benner and Ralph Byers and Volker Mehrmann and Hongguo Xu},
  year={2004}
}
We present numerical methods for the solution of the optimal H∞ control problem. In particular, we investigate the iterative part often called the γ-iteration. We derive a method with better robustness in the presence of rounding errors than other existing methods. It remains robust in the presence of rounding errors even as γ approaches its optimal value. For the computation of a suboptimal controller, we avoid solving algebraic Riccati equations with their problematic matrix inverses and… CONTINUE READING
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Robust numerical methods for robust control

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