Robust state feedback control for discrete-time linear systems via LMIs with a scalar parameter

@article{Morais2013RobustSF,
  title={Robust state feedback control for discrete-time linear systems via LMIs with a scalar parameter},
  author={Cec{\'i}lia F. Morais and M{\'a}rcio F. Braga and Ricardo C. L. F. Oliveira and Pedro Luis Dias Peres},
  journal={2013 American Control Conference},
  year={2013},
  pages={3870-3875}
}
This paper proposes an improved approach to ℋ2 and ℋ∞ robust state feedback control design for discrete-time polytopic time-invariant linear systems based on Linear Matrix Inequalities (LMIs) with a scalar parameter. The synthesis conditions, that depend on a real parameter lying in the interval (-1,1), become LMIs for fixed values of the scalar, reducing to standard conditions in the literature when the scalar is equal to zero. At the price of line searches combined with LMIs, less… CONTINUE READING