To improve automatic landing control, we develop a proportional integral airspeed control system. We linearize the nonlinear aircraft equations of motion around the glide slope, resulting in an LTI system for control. However, the closed-loop system's performance is limited by a 5-second engine response time. To address this, we introduce a lead compensator in the feedback loop, replacing the slow engine pole with a faster one. This leads to an improved transient response but near saturation of the throttle. In contrast to the previous lead compensator application in Section 1.6.2, placing the compensator in the loop affects the loop gain transfer function and stability margins. We use frequency domain methods to interpret these changes. The lead-compensated airspeed controller developed in this lesson will be used in upcoming lessons on automatic aircraft landing systems, showcasing improved performance and overcoming the limitations of engine response time.
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