Low-Complexity Polytopic Invariant Sets for Linear Systems Subject to Norm-Bounded Uncertainty

@article{Tahir2015LowComplexityPI,
  title={Low-Complexity Polytopic Invariant Sets for Linear Systems Subject to Norm-Bounded Uncertainty},
  author={Furqan Tahir and Imad M. Jaimoukha},
  journal={IEEE Transactions on Automatic Control},
  year={2015},
  volume={60},
  pages={1416-1421}
}
We propose a novel algorithm to compute low-complexity polytopic robust control invariant (RCI) sets, along with the corresponding state-feedback gain, for linear discrete-time systems subject to norm-bounded uncertainty, additive disturbances and state/input constraints. Using a slack variable approach, we propose new results to transform the original nonlinear problem into a convex/LMI problem whilst introducing only minor conservatism in the formulation. Through numerical examples, we… CONTINUE READING

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