In 47, Chapter 9, a steam-driven turbinegovernor system
Chapter 13, Problem 32(choose chapter or problem)
In Problem 47, Chapter 9, a steam-driven turbine governor system was implemented by a unity feedback system with a forward-path transfer function (Khodabakhshian, 2005)
\(G(s)=\frac{K}{(s+0.08)(s+2)(s+5)}\)
(a) Use a sampling period of T = 0:5 s and find a discrete equivalent for this system.
(b) Use MATLAB to draw the root locus.
(c) Find the value of K that will result in a stable system with a damping factor of \(\zeta=0.7\).
(d) Use the root locus found in Part a to predict the step-response settling time, \(T_s\), and peak time, \(T_p\).
(e) Calculate the final value of the closed-loop system unit step response.
(f) Obtain the step response of the system using Simulink. Verify the predictions you made in Parts c and d.
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