H2-OPTIMAL SAMPLED-DATA CONTROL FOR PLANTS WITH MULTIPLE INPUT AND OUTPUT DELAYS

The sampled-data H2-optimization problem for plants with multiple input and output delays is considered. An equivalent discretetime system is constructed and numerical algorithm for computing matrices of its state-space realization is presented. It is proved that stability of this system is equivalent to stability of original sampleddata system. The proposed method can be applied to a wide class of digital control problems for continuous-time plants with multiple input and output delays.

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