(Refer to the answered below) Solving simple system differential equation to und
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(Refer to the answered below)
Solving simple system differential equation to understand Zero-State response, Initial Condition response, Total response, and Steady State response: 3) Compare the response time of the systems in problem 1) and 2): From the answers in parts 1)a and 2)a, find the time duration for the system to reach 90% of its steady state respectively. Find the relationship of the response time with respect to the location of poles (modes of the system). Which system is faster (has shorter response time)? Change the values of Rr and C in the circuit (problem 1) to match the response time of the DC motor (to emulate the dynamic behavior of the DC motor).). (Tip: The proper value of R is in between of 10 to 200K and change Rf will change the gain of the circuit.) Plot (matlab) the output signal Volt) 1)a up to its steady state. Comment on its comparison with the plot in 2)a with changed values of Rf and C. a. b. c.Explanation / Answer
from the answers in 1 a) and 2 a) the duration of the system to reach its90% of its steady state analysis is from the transfer function of ths system
b.the relationship of the response time with respect to the location of the poles is based on the lti system the region of convergence must lie on the jw axis the no of poles which lie on the left side of the complex system the system is system is said to be stable if and only if it lies inside of the circle
c.the plot of the system when the components are changed is its transfer functions of the system increases exponentially from the intial value of the system
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