# For the same battery use a pi controller to control

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For the same battery, use a PI controller to control the temperature. The cooling water flow rate is the control variable at both steady states. (a) Determine the closed-loop transfer function. (10 pts) (b) Use the Routh criterion to determine the regime of stability of the system. (10 pts) (c) Use Simulink to determine the effect of a step change in set point T sp on the output. (10 pts) Question 3. In order to evaluate the performance of different control strategies based on step response characteristics (i.e. overshoot, offset, rise time, settling time), consider a simple second-order process transfer function: g p ( s ) = 1 s 2 +10 s +20 For each control strategy, a unit step input is provided, and a unit response is desired. Use MATLAB to examine all responses. (a) First, plot the open-loop response. What is the final value of the output, the rise time and approximate settling time? (5 pts) (b) Now introduce a proportional controller, with K p = 300, and close the feedback loop. How do the response characteristics change? (5 pts) 1

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(c) As you can see, the proportional-only controller is probably not good enough. Try using a PD
• Spring '14
• pts, lithium ion battery, Tan Hall

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