Low-order control design for LMI problems using alternating projection methods

@article{Grigoriadis1996LoworderCD,
  title={Low-order control design for LMI problems using alternating projection methods},
  author={Karolos M. Grigoriadis and Robert E. Skelton},
  journal={Automatica},
  year={1996},
  volume={32},
  pages={1117-1125}
}
Computational techniques based on alternating projections are proposed to solve control design problems described by linear matrix inequalities (LMIs). In particular, we concentrate on the stabilization and the suboptimal H, output feedback control design problems. These problems can be described by a pair of LMIs and an additional coupling condition. This coupling condition is convex for the full-order control design problem, but convexity is lost for the control problem of order strictly less… CONTINUE READING
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