Electrical and Computer Engineering Homework Solutions

Bode plot

Please draw bode plot on logarithmic paper or graph paper. Ignore any reference to Eds chart or any other chart in the questions. (See attached file for full problem description)

Linear systems

Note that part b, nos. 1 and 2 is continued on top of the page with the table. (See attached file for full problem description)

:inear systems - Ubolthip

I have removed Q4. Now you may submit your response to Q3. (See attached file for full problem description)

pi controller design

Please leave out the sensitivity part. Just help me design a PI controller. Forget about the fastest. (See attached files for full problem description)

bode plot + nyquist

(See attached file for full problem description)

Modelling and simulation

(See attached file for full problem description)

Linear systems

(See attached file for full problem description) I have removed the z-transform problem.

GAIN AND PHASE MARGIN

(See attached file for full problem description)

Eigenvalues

a) Show that the eigenvalues of A and AT are the same. b) Show that the matrix A is invertible if and only if A does not have a zero eigenvalues. c) Show that if the eigenvalues of A are λ1, λ2,…, λn and A is invertible, then the eigenvalues of A are 1/ λ1,1/ λ1,….,1/ λn . d) Show that the eigenv ...continues

Consider the following system...

Consider the following system whose state space representation is as follows: x'1(t) 0 1 x1(t) 0 = + u(t) x'2(t) 20.6 0 x2(t) 1 ...continues

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