Question: please provide plots In this problem, you will design a controller for an oven. The control objective is for the oven temperature T to track

In this problem, you will design a controller for an oven. The control objective is for the oven temperature T to track TTref a desired temperature Tref. The dynamics of the oven are modeled by mcT=LkAT+q where the output y=T is the oven temperature T (relative to ambient temperature), the input u=q is the supplied heat, and the reference r=Tref is the desired temperature Tref. The thermal capacitance is C=mc=20kJ/C and the thermal resistance is R=(kA/L)1=22.5C/kW. C2(s)=sK2(s+0.004) Tune K2 so that closed-loop system below nas (i) The closed-loop system is stable (ii) The closed-loop system has zero overshoot (iii) The closed-loop system has the fastest possible response Explain how you tuned K2. d) On the same figure, plot the step responses for both of the controllers C1(s) and C2(s) for the reference r(t)=1501(t)
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