Lexicographic tuning of a fuzzy controller using Box's 'complex' algorithm
Thomas Whalen, Brian Schott · 2002
A fuzzy control system typically requires tuning, or adjustment, of the parameters defining its linguistic variables. Automating this process amounts to applying a second metacontrol layer to drive the controller and plant to desired performance levels. Current methods of automated tuning rely on a single crisp numeric functional to evaluate control system performance. The methodology employed does not assume that the controllable factors and the performance variable have continuous numerical values. A generalization of Box's complex algorithm allows more realistic tuning based on lexicographic aggregation of multiple ordinal scales of performance, such as effectiveness and efficiency. The method is presented and illustrated using a simple inverted-pendulum control system.>