Controller tuning of stochastic disturbed multi-loop control systems

Abstract

A controller tuning method in a game-theoretic framework is extended, to keep the requirements of optimal system performance due to stochastic disturbances. First, a minimum variance controller, known in the literature for use in systems with stochastic disturbances, is applied to a single-loop control system. The extended controller tuning method, derived from game theory, is presented and applied to the single-loop control system as well and finally compared with the simulation results obtained using the minimum variance controller. For multi-loop systems, the authors tried to extend both methods and apply them on an example to show their capabilities as well as their limits. The use of the minimum variance controller in multi-loop system fails, while the proposed extended controller tuning method is successful applicable to such kind of systems.