Supervisory control of the real-time fuzzy control systems

Abstract

In real-time applications a discrete supervisory controller should stabilise the fuzzy control system. For this reason a discrete supervisory controller was developed and applied together with the fuzzy controller. The discrete supervisory controller performs like a continuous one. The main difference is in the sign function of the appended controller. We have proved that the fuzzy control system equipped with the discrete supervisory controller is globally stable only if we can predict the sign of supervisory action. On the other hand, discrete supervisory controllers require the knowledge of the bounds of the non-linear functions in the system, same as continuous one. Application to a balance control system was successful, both in simulations and in real-time control.