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Problem 7.23PP
(a) Design a state feedback controller for the following system so that the closed-loop step
response has an overshoot of less than 25% and a 1% settling time under 0.115 sec:
* = [ o -10 ]*+ [? ]■ ■ •
(b) Use the step command in Matlab to verify that your design meets the specifications. If it does 
not, modify your feedback gains accordingly.
Step-by-step solution
Step-by-step solution
step 1 of 3
(a)
Given tliat
i : .X =
1For tile overshoot specification, we have = e'^
Thus, we get ^ s 0.4.
For tile lYo setting time specifications, we use = 0.01.
4.6'Hierefbre, we get =
f t
Thus, we get 4 6^ 'sO .4 , and