The design process for fuzzy controllers that is based on the use of heuristic information from human experts has found success in many industrial applications. Moreover, the approach to constructing fuzzy controllers via numerical input-output data is increasingly finding use
Exercise 2.3(Inverted Pendulum: Gaussian Membership Functions): Suppose that for the inverted pendulum example, we use Gaussian membership functions as defined in Table 2. 4 on page 53 rather than the triangular membership functions. To do this, use the same center values as we had for the triangular membership functions, use the\left\and\right\membership functions shown in Table 2. 4 for the outer edges of the input
