Consider the diagram in Figure 1 showing a motor drives an inertia load through a gear train. The purpose of this system

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Consider The Diagram In Figure 1 Showing A Motor Drives An Inertia Load Through A Gear Train The Purpose Of This System 1 (41.44 KiB) Viewed 23 times

Consider The Diagram In Figure 1 Showing A Motor Drives An Inertia Load Through A Gear Train The Purpose Of This System 2 (74.04 KiB) Viewed 23 times

Consider the diagram in Figure 1 showing a motor drives an inertia load through a gear train. The purpose of this system is to control the angular position (output) of the load to follow the input angular position from user via a potentiometer that converts the angular position into a voltage. The input potentiometer is attached to the motor. The output angular position is measured by another potentiometer (feedback pot) in the feedback path. Both potentiometers have the same gain Using the following values solve the following problems: Load Shaft 2: inertial 3:1 Shall 3: incia/ Shaft 1: inertia, Feedback pot Motor -to Figure 1: DC motor driving a rotational mechanical load via a gear train Project tasks: i. Draw a detailed block diagram for the whole system. Assume that the armature inductance,, is small compared to the armature resistance, i.e. carry out the modelling of the system using differential equations and find the transfer function of the open loop and then the closed loop system. Develop a Simulink model of the system Find the response of the open loop system to a step input function.
i. Draw a detailed block diagram for the whole system. ii. Assume that the armature inductance,, is small compared to the armature resistance, i.e. carry out the modelling of the system using differential equations and find the transfer function of the open loop and then the closed loop system. ii. Develop a Simulink model of the system iv. Find the response of the open loop system to a step input function. v. Find the response of the closed loop system to a step input function vi. Comment on the stability and performance of the system (compare the open loop and closed-loop responses). vii. Draw a root locus and use the root-locus method to design a suitable controller (PID) to yield a step response with no more than 14% overshoot and no more than 2.8 seconds settling time. viii. Apply PID control to the closed loop system by designing a PID controller and tuning it using the Ziegler Nichols open loop method. Show the response to a step function input with the final tuned parameters.