EDF benchmark control problem: a multiobjective robust design approach

A solution to the EDF benchmark problem is presented in this paper. To reflect all the control features, a multiobjective synthesis approach is proposed. The method consists in ensuring simultaneously specifications as robust stability and time-domain bounds (output and command input peak). Synthesis conditions are Linear Matrix Inequalities (LMI) associated with a set of non-convex conditions. They are checked using an efficient linearization algorithm. The output feedback controller is explicitly derived from the numerical solution. The achieved performances are evaluated using the parameter-dependent simulator in accordance with the benchmark experiment planning