Question

(a) Obtain the Z-transform of the ramp function. (2 Marks) (b) For a unity feedback sampled data control system shown in Fig: G(s) = Zero Order Hold Plant s(s + 3), r(t), v(t). Now, with sampling time T = 0.5, determine the range of values of K for stability in the Z-transform. Also, for K = 5, obtain the first 3 nonzero values of the sampled output by obtaining the output for an input step function. (3 marks) Note: The roots of a quadratic equation bz^2 + cz + e = 0 with real b and c, lie within the unit circle if c < 1 (in case the roots are a complex conjugate pair) and b < âˆš(c + e) (in case both roots are real). You can take the best A from the two inequalities.

          (a) Obtain the Z-transform of the ramp function. (2 Marks)
(b) For a unity feedback sampled data control system shown in Fig: G(s) = Zero Order Hold Plant s(s + 3), r(t), v(t). Now, with sampling time T = 0.5, determine the range of values of K for stability in the Z-transform. Also, for K = 5, obtain the first 3 nonzero values of the sampled output by obtaining the output for an input step function. (3 marks)

Note: The roots of a quadratic equation bz^2 + cz + e = 0 with real b and c, lie within the unit circle if c < 1 (in case the roots are a complex conjugate pair) and b < âˆš(c + e) (in case both roots are real). You can take the best A from the two inequalities.

03 a obtain the z transform of ramp function 2 marks b for unity feedback sampled data control system shown in fie gs zero order hold plant ss 3 rt vt now with sampling gos g s timet 05 dete 77091

Added by Julio F.

Question

Please give Ace some feedback