\(H_ \infty\)-optimal sampled-data control: Computation and design
\(H_\infty\)-optimal control of sampled-data systems is considered. The \(H_\infty\) analysis for the synthesis problem requires iteration on the achievable performance level \(\gamma\). For each iteration, the sampled-data problem is reduced to an equivalent discrete-time problem. In this paper, 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 example, yielding interesting results.
scientific article; zbMATH DE number 867760