306SE Design a digital controller for the DC motor position control system using indirect design method: Control & Instrumentations 2 Assignment, SUTD, Singapore

PART A: Design a digital controller for the DC motor position control system using indirect design method.

Objectives:
To understand the system design specifications
To understand the discrete-time control system and digital compensator
To design a digital compensator for the motor position control system using indirect method
Use MATLAB to simulate the system and verify your design of the controller
Specifications for the motor control system performance
For this assignment, the desired specifications are as following. For a unit step input, the desired
closed-loop response should satisfy:
• Settling time (2%) no more than 0.08 seconds. (30ms to 80ms)
• Overshoot no more than 25% (5%, 10%, 15%, 20%, 25%)
• Zero steady state error.

Important note:
▪ The settling time for c(k) can be 30, 40, 50, 60, 70 and 80ms.
▪ The overshoot for y(k) can be 5%, 10%, 15%, 20%, 25%.
▪ Each student has a set of different specifications. Ask you lab supervisor to assign you the design specifications.
▪ You will use these parameters for the assignment part B.

Task of the project PART A
Design a controller (compensator) with the following given structure such that the closed-loop position control system response satisfies the specifications that are assigned to you.