Determine the steady state error for unit ramp input

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Reference no: EM132915083

Question :1 The open-loop transfer function of a negative feedback system is given. Plot the Nyquist diagram for G(s). Also comment on stability.

G(s) = 5/s(s+1)(s+3)

Question :2 The open loop transfer function of a unity feedback system is given by G(s) = (25) / (s)(s+5)

Calculate: The natural frequency of oscillations, damped frequency of oscillations, damping ratio.

Question :3 The closed loop transfer function of a unity feedback control system C(s)/R(s) is given. Determine the steady state error for unit ramp input. C(s)/R(s) = Ks + β/(s² + αs + β)

Question :4 Solve the given difference equation using z-transform to obtain zero-input & zero-state response of the discrete system. n≥0. y_n-5y_n-1+6y_n-2=3f_n-1 + 5f_n-2. Given that f(n)=(0.5)ⁿu(n). y(-1)=11/6, y(-2)=37/36

Question :5 The response h(t) of a linear time invariant system to an impulse under initially relaxed condition is h(t)= e^-t + e^-2t Find out the response of this system for a unit step input u(t).

Reference no: EM132915083

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