Question: 1 . An engineer performs a reaction - curve method to optimize a PI controller that controls room air temperature. The temperature setpoint is first

1. An engineer performs a reaction-curve method to optimize a PI controller that controls room air temperature. The temperature setpoint is first lowered by 24C at t =0 s. The room temperature responds by decreasing from 32C to 17C, which follows the indicative time-constant model.(a) Use the Ziegler-Nichols method to optimize Kp and Ki(b) Use the Cohen and Coon method to optimize Kp and Ki

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