A Simple PI-Extension Controller

A simple extension controller,using the type of Proportional Integral(PI),is proposed.On the basis of the concept of extension set.A novel method for determining the amount of control will be discussed.The universe of discourse regarding to the defined extension dependent function can be firstly partitioned and labeled in some regions.We then show that the resulting control is the linear combination of the grade of extension dependent function and the labeled number.Essentially,the expert knowledge and the experience of a skill operator can be embedded in extension controller design.Broadly speaking,the design of extension controller is easily than that of fuzzy controller.Finally,the proposed simple extension controller is used to control a linear process,and its effectiveness and ability is verified.