As you may have noticed if you went through some of the other inverted pendulum examples the design criteria for this example are different. In the other other examples we were dealing with an impulse and not a step input. Also, we were only concerned with the pendulums angle and disregarded the cart's position in the design of the controller. However, for an inverted pendulum it is unrealistic to consider just the single output system. Using state-space methods it is relatively simple to work with a multi-output system, so in this example we will design a controller with both the pendulum angle and the cart position in mind