Journal of Automation and Information Sciences

On Synthesis of a Robust Controller for a Periodic Controlled System

ABSTRACT

Problems of synthesis of robust controllers for discrete periodic controlled systems are considered. The suggested synthesis procedure consists of two stages. At the first stage, for a nominal value of object parameters, an optimal controller is synthesized by solution of optimization problem for a periodic system using the quadric quality criterion. At the second stage, using linear matrix inequalities, we perform minimal (in certain sense) correction of controller coefficients, synthesized at the first stage, aimed at ensuring desirable properties of robustness. The suggested approach is illustrated by a synthesis problem for control system of a hopping apparatus.