Non-smooth progress function algorithm for frequency-shaping control design

In classical controller design, closed-loop performance specifications arise naturally as constraints on restricted frequency bands. This leads to a difficult design problem, which is currently circumvented by heuristic techniques. The authors develop a non-smooth progress function algorithm which enjoys features similar to exact penalisation strategies to solve the problem. This allows one to compute locally optimal solutions to the frequency-shaping control design problem. The new technique is highly efficient, as demonstrated by the method of two case studies, a large dimension power system and a flexible telescope.