Consider a system with plant Gs in a unity feedback structur

Consider a system with plant G(s) in a unity feedback structure with controller D(s). In this problem you will use MATLAB to plot the system response to arbitrary reference inputs to determine the system type for various configurations. The Isim command in MATLAB allows one to plot the system\'s time response for arbitrary inputs. For example, to plot the response to a ramp input, r(t) = t, it can be implemented as follows. t = 0:0.1:tfina r = t lsim(sys,r,t) Determine the system type with respect to reference inputs for G(s) = 1/(s+1)(5s+1) and D(s) = P controller with k_p =19 G(s) = 1/(s+1)(5s+1) and D(s) = PD controller with k_p =19 and k_D = 4/19 G(s) = 1/(s+1)(5s+1) and D(s) = PID controller with k_p =19, k_l = 0.5, and k_D = 4/19 G(s) = 1/s^2 and D(s) = 10(s+2)/s+5 In your write-up, include A summary of what you did in the problem explaining what techniques you used and what skills you learned and/or applied. Explanation of how you determined the system type for (a) - (d) with appropriately labeled plots to justify your answers. Commented MATLAB code.

Solution

On a single graph plot the fission product decay heat and the fission power for the first 10 minutes after a 3000- MWt reactor is scrammed. State all your assumptions.