PID controller tuning by an interactive multi-objective optimisation method

Abstract

An interactive multiobjective optimisation method was introduced in this study to tune satisfactory modes of a PID controller. An interval process was modelled by a set of transfer functions in this study. In general, such processes could not be handled by a PID controller which was tuned by a single-objective optimisation method. A trade-off tuning rule based on multi-objective optimisation methods was introduced to overcome this drawback. The robust stability for this multi-modelling control system performed by the multi-objective optimisation approach was automatically guaranteed. Extension to cascade control systems was also developed.