Induced L2 norm model reduction of polytopic uncertain linear systems

@article{Wu1996InducedLN,
  title={Induced L2 norm model reduction of polytopic uncertain linear systems},
  author={Fen Wu},
  journal={Automatica},
  year={1996},
  volume={32},
  pages={1417-1426}
}
In this paper we study an induced fs norm model reduction problem for polytopic uncertain linear systems. The polytopic system has its state-space data contained in a convex polytope, a situation which often arises. The problem we address is to approximate this type of system by a lower order polytopic uncertain linear system with a guaranteed induced Ls norm error. A sullicient solvability condition is provided in terms of LMIs with one extra coupling rank constraint, which generally leads to… CONTINUE READING