An LMI solution to the robust synthesis problem for multi-rate sampled-data systems

@article{Lall2001AnLS,
  title={An LMI solution to the robust synthesis problem for multi-rate sampled-data systems},
  author={Sanjay Lall and Geir E. Dullerud},
  journal={Automatica},
  year={2001},
  volume={37},
  pages={1909-1922}
}
In this paper we present new techniques for the solution of the multi-rate sampled-data H 1 synthesis problem. This makes use of the mathematical tools developed in 4] and 5]. Necessary and suucient conditions are given for the existence of a controller acheiving the desired performance, and all such controllers are parametrized. The problem is shown to be equivalent to a nite dimensional convex optimisation problem expressed in the form of linear matrix inequalities, for which standard… CONTINUE READING
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