Model Reduction of Multi-Dimensional and Uncertain Systems

@inproceedings{BeckModelRO,
  title={Model Reduction of Multi-Dimensional and Uncertain Systems},
  author={Carolyn L. Beck and John C. Doyle and Keith Gloved}
}
We present model reduction methods with guaranteed error bounds for systems represented by a Linear Fractional Transformation (LFT) on a repeated scalar uncertainty structure. These reduction methods can be interpreted either as doing state order reduction for multi-dimensionalsystems, or as uncertainty simplification in the case of uncertain systems, and are based on finding solutions to a pair of Linear Matrix Inequalities (LMIs). A related necessary and sufficient condition for the exact… CONTINUE READING

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