Aircraft flight path control system using Global Positioning Systems (GPS) Air traffic control systems heavily depend on Global Positioning Systems (GPS) for navigation and collision avoidance. GPS allows every aircraft to know its position in the airspace landing corridor very accurately. A block diagram depicting the process of an air traffic controller using GPS for aircraft collision avoidance is shown in Figure 1 Process Error Controller Computer Auto-pilot Actuators Ailerons, elevators, rudder, and engine power Aircraft Desired flight path from air traffic controllers Flight path Measurement Measured flight path Global Positioning System Figure 1 Tasks to be done Part A: Mathematical Modeling In this part, you are required to support with manual calculation to obtain the transfer function of the commanded flight path to actual flight path. C(s) by assuming all other inputs are zero. R(3) You may obtain the transfer functions for each block from cited sources to be included in your manual calculations. . R(3) Part B: System Response Section 1: By using relevant software, display the system response, C(3) to a step input, ramp input and parabolic input. Use appropriate values for the simulation variables. Section 2: Defend your work by discussing the responses obtained in Section 1 and also discuss the response behavior when: 1) The input types are varied. 11) The GPS feedback loop is removed of 9 Aircraft flight path control system using Global Positioning Systems (GPS) Air traffic control systems heavily depend on Global Positioning Systems (GPS) for navigation and collision avoidance. GPS allows every aircraft to know its position in the airspace landing corridor very accurately. A block diagram depicting the process of an air traffic controller using GPS for aircraft collision avoidance is shown in Figure 1 Process Error Controller Computer Auto-pilot Actuators Ailerons, elevators, rudder, and engine power Aircraft Desired flight path from air traffic controllers Flight path Measurement Measured flight path Global Positioning System Figure 1 Tasks to be done Part A: Mathematical Modeling In this part, you are required to support with manual calculation to obtain the transfer function of the commanded flight path to actual flight path. C(s) by assuming all other inputs are zero. R(3) You may obtain the transfer functions for each block from cited sources to be included in your manual calculations. . R(3) Part B: System Response Section 1: By using relevant software, display the system response, C(3) to a step input, ramp input and parabolic input. Use appropriate values for the simulation variables. Section 2: Defend your work by discussing the responses obtained in Section 1 and also discuss the response behavior when: 1) The input types are varied. 11) The GPS feedback loop is removed of 9