Relating H/sub 2/ and H/sub /spl infin//-norm bounds for sampled-data systems

We relate the H/sub /spl infin// and H/sub 2/ norms for multi-input/multi-output sampled-data feedback control systems, where a continuous-time plant is controlled by a digital compensator with hold and sampler. Upper bounds on both H/sub 2/ and H/sub /spl infin// norms are obtained based on fundamental relations derived by two different approaches, namely the hybrid state-space approach and the fast sampling and lifting approach.