control system theory and applications

An electrical heater of heat capacity Ch connected via a thermal

resistance Rho to the oven, heat capacity Co. The oven loses heat

to the environment, at temperature Te, through the thermal

resistance Ro of its insulation. The temperature controller

adjusts the power dissipated in the heating elements, W, by

comparing the oven temperature, To, with the set-point

temperature Ts.


1- Get the response of the system vs. Step function and calculate system

parameters such as steady state error, Overshoot, Settling time and Rise time. 2-

Comparing to a second order system what is the natural frequency of the system

what is the damping ratio. What kind of system is it? (underdamped, overdamped,

critically damped) 3- Try to apply the following controllers: A) Proportional only B)

Proportional and Derivative (PD) C) Proportional and Integrating (PI) D)

Proportional and Integrating and Derivative. (PID) Show the plot of the time

response and discuss the effects on the system parameters. ( i.e. steady state error,

Overshoot, Settling time and Rise time.) 4- Draw the Pole and Zero map and discuss

stability? Is the system stable? 5- Apply Routh-Horwitz criterion to find the suitable

range of values for Kp (proportional value gain) in order for the system to be stable.

6- Plot the Routh-Locus and discuss the effects of changing Kp on system poles. 7-

Draw the Bode plots and find Phase and Gain margin.

Evner: Elektrisk Ingeniørarbejde, Matlab and Mathematica, Mekanisk Ingeniørarbejde

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