H-INFINITY-OPTIMAL SAMPLED-DATA CONTROL - COMPUTATION AND DESIGN

H infinity-optimal control of sampled-data systems is considered. The H infinity analysis or synthesis problem requires iteration on the ach ievable performance level gamma. For each iteration, the sampled-data problem is reduced to an equivalent discrete-time problem. In this pap er, a new set of formulas is obtained for the equivalent discrete-time system; in each iteration, the formulas depend on computing only one matrix exponential function. The formulas are applied to a design exam ple, yielding interesting results.