Develop a linear parametric model inMatlab programing -- 3

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A) For the following systems develop a linear parametric model and develop an

adaptive linear parametric model. Also Simulate an MRAC for the second transfer

function. The MRAC should have settling time less than 0.3 seconds and a rise time less

than 0.12 seconds.

1.

3/2S+7

2.

-6/S+9

B) Next simulate the adaptive systems (all 3, the two adaptive linear parametric

models for 1) and 2) and the MRAC for 2)) using C or Matlab. Plot the adaptive

parameters. Plot the output of the plant y and its estimate. Plot the estimation error.

Assume the input is a unit step.

a) Use 3 different cases for the initial conditions.

b) Do the initial conditions affect the simulation?

C) Repeat B) using the input of sin(6.5t)

D) Repeat B) using the input as sin(4.7t)+cos(5.3t)

E) What conclusions in your own words can you develop based upon your analysis

in B)? What conclusions can you make based upon the results in C), D), and E)?

Matlab and Mathematica

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