EBK PRINCIPLES OF ELECTRIC CIRCUITS
EBK PRINCIPLES OF ELECTRIC CIRCUITS
10th Edition
ISBN: 9780134880068
Author: Buchla
Publisher: VST
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5. Consider following feedback system. R(s) + 100 S+4 +1 Find the steady-state error for (i) step input and (ii) ramp input.
6. Find (i) settling time (Ts), (ii) rise time (Tr), (iii) peak time (Tp), and (iv) percent overshoot (% OS) for each of the following systems whose transfer functions are given by: a) H(s) = 5 s²+12s+20 5 b) H(s) = s²+6s+25 c) H(s) = (s+2) (s²+12s+20) (s²+4s+13) Use dominant pole approximation if needed.
7. Answer the following questions. Take help from ChatGPT to answer these questions (if you need). But write the answers briefly using your own words with no more than two sentences and make sure you check whether ChatGPT is giving you the appropriate answers in the context of class. a) Why do we need transient performance metrics? Name a few of such metrics. b) Define (i) settling time, (ii) rise time, (iii) peak time and (iv) percent overshoot. c) What is damping ratio? How does overshoot change with the change of damping ratio? When do we have zero overshoot? d) What is the criterion for selecting dominant pole in higher order systems? When dominant pole approximation is not valid? How will you calculate the transient performance metrics for the case when dominant pole approximation does not hold?
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