An autopilot designed to hold an aircraft in straight and level flight is shown in

Chapter 0, Problem CP5.7

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An autopilot designed to hold an aircraft in straight and level flight is shown in Figure CP5.7. (a) Suppose the controller is a constant gain controller given by Gc(s) = 2. Using the Isim function, compute and plot the ramp response for 8(f(t) = at, where a = 0.5/s. Determine the attitude error after 10 seconds. (b) If we increase the complexity of the controller, we can reduce the steady-state tracking error. With this objective in mind, suppose we replace the constant gain controller with the more sophisticated controller K 1 Gc(s) = Ky + = 2 + -. This type of controller is known as a proportional plus integral (PI) controller. Repeat the simulation of part (a) with the PI controller, and compare the steadystate tracking errors of the constant gain controller versus the PI controller.