Description of Problem The system dynamics for system similar to the above (SISO) are embedded in the attached file. You will use the file to generate input/output data, construct a Bode plot from

Description of Problem

The system dynamics for system similar to the above (SISO) are embedded in the  

attached file. You will use the file to generate input/output data, construct a Bode plot  

from the simulated data, and extract a transfer function from it. This transfer function will  

be tested of its accuracy using simulations, i.e., use a particular input to both the original  

system and the transfer function obtained from the constructed bode diagram and  

compare the respective responses. Based on the correlation of the two responses, you will  

make modification to the transfer function or state argumentations for reasons to maintain  

the obtain transfer function.

Next, you will analyze the system obtained (the transfer function) using Root Locus and  

Routh Hurwitz techniques. With the analysis completed, you will formulate performance  

specification for the closed-loop system to be designed. Before implementing these by  

designing an appropriate controller, you must approve the design specification with the  

instructor (a technical memorandum with all pertinent information to the instructor). Note  

all semester project design specifications must be approved by no later than April 9

th. For  

the approval, you will need to present all the analysis work performed in the technical  

memorandum.

Assignment

According to the above description, perform the following tasks:

a) Identify the system model based on input/output data using the given Matlab

files (see below for the Matlab code and Moodle folder).

b) Verify the obtained transfer function using a new set of input/output data and  

make necessary correction and/or statement of why system is sufficiently  

accurate. (Hint, you can utilize step, impulse, or random function generator as  

new inputs).

c) Use the identified and tested/modified transfer function and perform a Root Locus  

analysis and a Routh Hurwitz analysis.

d) Develop performance specifications in the time and frequency domain and have  

them approved by the instructor by April 9

th the latest (use a TM as outlined  

above).

e) Design a lead-lag controller using root locus or bode diagram and design a PID  

controller using Ziegler Nichols rules both such that the closed-loop system  

satisfies the performance specifications stated in section d).

f) Write a memo with short explanations of the tasks, the design, and the outcome.  

Also attach all the analysis, the Matlab files, the plots, and verification  

simulations.