R(S) + G(s) H(s) For the block diagram shown above, where G(s) = following: 5 s(5s²+10s+5) C(s) & H(s) = 1, complete the
Posted: Fri Jul 01, 2022 6:14 am
R(S) + G(s) H(s) For the block diagram shown above, where G(s) = following: 5 s(5s²+10s+5) C(s) & H(s) = 1, complete the a) Find the closed loop transfer function b) Write the system response equation in the Laplace domain for a unit step input c) Write the time domain differential equation in terms of c(t) and r(t) d) Write and execute a program (Matlab or any other programming language) to solve the differential equation for c(t) and each of its derivatives, using Euler or trapezoidal integration algorithm. Use unit step for r(t). e) Plot each of the four (c(t), c(t), c(t) and c(t)) results as a function of time. Properly select an integration time step, so that the resulting curves are smooth. f) In case if you are using Matlab - publish your code (in case of other programming languages, simply include your code with your submission) and submit it along with your other scanned work.