Synthesis of globally optimal robust controllers: the two perturbation blocks case

摘要

An algorithm is presented for finding the global minimum for the robustness synthesis problem when two perturbation blocks are present. The problem reduces to solving a parameterized family of linear programs. The global solution was obtained by finding an optimal basis for a certain value of the parameter and then by determining the intervals for which the corresponding optimal basis does not change. This procedure is repeated a finite number of times until the whole range of the parameter is covered.