Fixed-Order Controller Design for Polytopic Systems Using LMIs

@article{Khatibi2008FixedOrderCD,
  title={Fixed-Order Controller Design for Polytopic Systems Using LMIs},
  author={Hamid Khatibi and Alireza Karimi and Roland Longchamp},
  journal={IEEE Transactions on Automatic Control},
  year={2008},
  volume={53},
  pages={428-434}
}
Convex parameterization of fixed-order robust stabilizing controllers for systems with polytopic uncertainty is represented as a linear matrix inequality (LMI) using the Kalman-Yakubovich-Popov (KYP) lemma. This parameterization is a convex inner approximation of the whole nonconvex set of stabilizing controllers, and depends on the choice of a central polynomial. It is shown that, with an appropriate choice of the central polynomial, the set of all stabilizing fixed-order controllers that… CONTINUE READING

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