Fuzzy Gain Scheduling Control for a Special Case of 2nd Order Non-linear Systems

Abstract

In this paper, a new control methodology is proposed for a class of nonlinear control systems. The proposed methodology combines the advantages of both gain scheduling technique and fuzzy control technique to obtain an advanced tracking control structure. This methodology is applicable for tracking a special case of second order nonlinear systems that represented in a general form similar to many electromechanical systems model representations, such as the magnetic ball levitation and the inverted pendulum. A continuous gain scheduled tracking controller is designed based on the use of state feedback. The state feedback controller is transformed into its equivalent PI+D controller with a pre-filter added on the reference input. At the first stage of employing fuzzy logic approach, a discrete model of the designed gain scheduled PI+D controller is obtained and then Fuzzy PI+D controller is implemented by …