EE3050: Control Systems - Open-Loop Frequency Response - Bode Diagram Using Asymptotic Approximation - Engineering Assignment Help

Assignment Task:

Aim:
The aim of the experiment is to provide an experience of controller design based on the frequency response of a dynamical system and of state feedback controller design. 
 
Learning Outcomes:
On successful completion of the assignment, students should be able to: 
 
• Obtain open-loop frequency response data from a linear system and, from the data obtained, plot the Bode diagram of the system; 
• Determine a transfer function model of a linear system from its Bode diagram using asymptotic approximation; 
• Determine the gain and phase margins of a linear system from its Bode diagram and the system bandwidth from the Bode diagram; 
• Carry out the design of a phase-lead compensator for a system; 
• Obtain a state-space model of an open-loop system from its transfer function; 
• Design a state-feedback controller for a system; 
• Do a comparative evaluation of phase-lead control with observed state feedback control. 

TASKS :
 
Task 1: First-Order Open-Loop Frequency Response
a) From your knowledge of K and T, and the background theory, plot the asymptotic Bode diagram of the first-order open-loop system with input θi and output ω o on linear-log paper.  
b) Plot the experimental Bode diagram of the first-order open-loop system using the data of the open-loop frequency response test on linear-log paper. Hence estimate the value of the system gain K and the system time constant T. 
 
Task 2: Second-Order Open-Loop Frequency Response
a) Determine the Bode diagram of the second-order open-loop system with angular position output using the data of the closed-loop frequency response test.
b) Determine the phase crossover frequency, phase margin and estimate the value of the damping ratio. 
 
Task 3: Step Response of the Second-Order System
a) Using the second-order open-loop transfer function obtained in Task 2a) a model of the unity negative feedback system can be obtained and it is step response simulated using MATLAB.
b) Use the simulated step response of the closed-loop system in Task 3a) to justify the need for a controller for the system and an appropriate type of controller. 
 
Task 4: Design via Frequency Response
a) Design a phase-lead compensator for the complete second-order open-loop system with angular position output.  
b) Use MATLAB to simulate the step response of the compensated system and verify your design by showing it meets the specifications. Give your evaluation of your compensator design. 
 
Task 5: Design via State Space
a) Derive a state-space model of the complete second-order open-loop system with angular position output. Use this model to design a state feedback controller for the system. Explain how the design could be implemented using tacho feedback. 
b) Assuming tacho feedback is not available, derive the compensator for observed state feedback using the state feedback controller and evaluate the compensator using MATLAB. Give your comparative evaluation of your observed state feedback design with your phase lead compensator design. 
 
Task 6: Conclusions
Given your conclusions with respect to your designed controllers and any insights gained from carrying out the assignment. 
 
In your design, you should be aiming for a maximum percentage overshoot of 5% and a settling time (to 2%) of less than 0.5 seconds.  
 

This EE3050: Engineering Assignment has been solved by our Engineering Experts at My Uni Paper. Our Assignment Writing Experts are efficient to provide a fresh solution to this question. We are serving more than 10000+ Students in Australia, UK & US by helping them to score HD in their academics. Our experts are well trained to follow all marking rubrics & referencing style.

Be it a used or new solution, the quality of the work submitted by our assignment experts remains unhampered. You may continue to expect the same or even better quality with the used and new assignment solution files respectively. There’s one thing to be noticed that you could choose one between the two and acquire an HD either way. You could choose a new assignment solution file to get yourself an exclusive, plagiarism (with free Turnitin file), expert quality assignment or order an old solution file that was considered worthy of the highest distinction.