A unity feedback system has Gs K ss 3s 6 If this system
Chapter 11, Problem 22(choose chapter or problem)
A unity feedback system has
G(s) = \(\frac{K}{s(s+3)(s+6)}\)
If this system has an associated 0.5 second delay, use MATLAB to design the value of K for 20% overshoot. Make any necessary second-order approximations, but test your assumptions by simulating your design. The delay can be represented by cascading the MATLAB function padé (T,n) with G(s), where T is the delay in seconds and is the order of the Pade approximation (use 5). Write the program to do the following:
a. Accept your value of percent overshoot from the keyboard
b. Display the Bode plot for K = 1
c. Calculate the required phase margin and find the phase-margin frequency and the magnitude at the phase-margin frequency
d. Calculate and display the value of K
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