ME 709 Advanced System Dynamics and Control Simulink Pr

ME 709 Advanced System Dynamics and Control Simulink Project
For this project you are required the model and control the motion of a satellite in a planar orbit around a linearized trajectory using Simulink.
For the linearized system design a full state feedback control system to control the radius r of the satellite close to the linearized trajectory. Design an observer as only the angle theta is measured as output. For a step input reference such that r_des = r+0.1r where r is the initial radius design a controller that achieves this trajectory under 1sec with no overshoot. Design the observer such that it has dynamics thrice as fast as the controller.
a) Design a PD controller using the output theta to control the radius close to the linearized trajectory. For a step input reference such that r_des = r+0.1r where r is the initial radius design a controller that achieves this trajectory under 1sec with no overshoot.
b) Add a step disturbance to the system with magnitude %10 of the initial radius r. Make sure using the PID controller that the steady state error becomes 0.
Model the system using Simulink and apply the controllers in 1 and 2. Plot the r and theta of the satellite as well as control and error functions as well as the 2D system motion. Show how changing controller parameters effects system performance.
Compare the results for the State Space and PID controllers.
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