Draw a Nyquist plot for the unity-feedback control system with the open-loop transfer function 1 G(s) = s(S-2) Using Nyquist stability criterion, determine the stability of the closed-loop system.

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Design Feedback Systems and signal flow graph(Control systems)

For the feedback control system given in the figure on the right, R(s) + (a) Find the closed-loop transfer function, C(s)/R(s). (b) Determine the system's stability range for gain Kusing Routh-Hurwitz criterion. (c) What is the type of the system? (Hint: you need to convert the system to a simple unity feedback.) K 1 s(s+2)(s+5) C(s) (d) Sketch the root-locus in Matlab (hint: you need to use the open-loop transfer function with K = 1) and validate the stability region you found in (b). (e) Plot the step responses up to 10 seconds for the input of 1.5u(t) when the gain K = 22 and has the value that makes the system marginally stable on the same plane. (f) Calculate the steady-state error for the input step of 1.5u(t) for K = 22. Confirm the result with the related plot you obtained in (e). (g) Calculate the steady-state error now for an input ramp of 1.5tu(t) for K = 22 and plot this response together with the input function up to 10 seconds in order to indicate the steady-state error…