Numerical solution to ℋ∞ control of multi-delayed systems via operator approach

A computational algorithm for the full information ℋ^∞ control problem for multi-delayed LTI systems is derived. The algorithm is based on a general operator approach in the spectral domain developed for finite-dimensional LTI plants. The simplicity of spectral operations and explicit formulas for computation make it possible to generalize it to infinite-dimensional plants. In the paper, a complete computational solution for such a plant with several delays in the output, control and disturbance is obtained and illustrated with a simple example