I need help. It's about control systems and matlab.
PIT
Feedback and Control Systems
Name: Score:
Problem:
The room temperature of an 
room is to be controlled by varying the power of an indoor radiator. For this specific room the open-loop transfer function from radiator power, 
, to temperature, 
is (Thomas, 2005)
The system is assumed to be in the closed-loop configuration shown in the figure.
For a unit step input, calculate the steady-state error of the system.
Design a PI controller of the form
that will reduce the step-response error to zero while not changing significantly the transient response. (Hint: Place the zero of the compensator in a position where the closed loop poles of the uncompensated root locus will not be affected significantly.)Use MATLAB Simulink to simulate the systems and to verify the correctness of your design.
