The feedback control system shown in Figure 7 is used to control the angular position of a satellite dish. The desired angle, Oref, is set using a rotary dial. Kp is the gain of the amplifier, Km, t, and K are system parameters and are constant. Assume there is a wind disturbance in the system that can change the angular position. a) Find the transfer functions of |D=0 and 0-0 b) Find the steady state error due to the wind disturbance when the disturbance is a unit step input. Can the wind change the angle during long time in this case? Desired Satellite Dish Angle Wind Disturbance Amplifier Motor and Mechanical Load K m D Ω 1 Кр Actual Satellite Dish Angle 1+ TS S K Angle Sensor Figure 7 Feedback Control System for a satellite

The feedback control system shown in Figure 7 is used to control the angular position of a satellite dish. The desired angle, Oref, is set using a rotary dial. Kp is the gain of the amplifier, Km, t, and K are system parameters and are constant. Assume there is a wind disturbance in the system that can change the angular position. a) Find the transfer functions of |D=0 and 0-0 b) Find the steady state error due to the wind disturbance when the disturbance is a unit step input. Can the wind change the angle during long time in this case? Desired Satellite Dish Angle Wind Disturbance Amplifier Motor and Mechanical Load K m D Ω 1 Кр Actual Satellite Dish Angle 1+ TS S K Angle Sensor Figure 7 Feedback Control System for a satellite

Understanding Motor Controls

4th Edition

ISBN:9781337798686

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter54: The Operational Amplifier

Section: Chapter Questions

Problem 7RQ: Name two effects of negative feedback.

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Below is a very common feedback block system. It is a 1dof, and unity-feedback system. The input is the reference command R(s). This is what flows out of thin air, into the system. All other signals in the system (e.g. U, Y, etc.) will depend on R(s). R(s) a. E(s) e. K U(s) G Y(s) Write the algebraic relation between the output Y(s) and the reference R(s) in terms of G and K?. Write it in the format Y = some function of s * R b. What is the TF from R to Y, aka the closed loop TF? What is the "Loop TF" aka the "the open-loop TF"? G has zeros at ZG1, ZG2 etc. and poles at PG1, PG2 etc. C. K has zeros at ZK1, ZK2 etc. and poles at PK1, PK2 etc. What are the zeros and the poles of OLTF? What are the zeros and the poles of CLTF? d. Write the algebraic relation between the error E(s)=R-Y and the reference R(s) in terms of G and K? Write it in the format E = some function of s * R. What is the TF from R to E? Write the algebraic relation between the controller output U(s) and the reference…
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Q.4- A model for feedback control system employing both angular position and velocity feedback is shown in figure bellow .The equation describing d²0 do di the system is J di² - = • K.[V₁-K₁0. K₂0-Ka ((1) Summing V,(r) Motor 白口食 amplifier Velocity sensor K₂8 Position sensor Where J is the rotary inertia KandK are the position and velocity feedback gains, and K, is the gain between the input voltages to the motor torque produced. Derive expression for the closed loop system undamped natural frequency and damping ratio.
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Can you also please do the simulate the step response in MATLAB for the design and report archieved PO and settling time? Thank you.