a system whose closed-loop transfer function is given by G(s)=K/s(s^2+s+1)(s+2)+K derive a Routh-Hurwitz array to determine the stability of the system.

Puestion :- Find the transfer function Gis) = x,(s)/F(s) for the translational mechanical system shown in figure . 2, (t) k, =4Nm ell elell Ma=2kg M, = 1kg Ifv,= 3N-s/m

A-The Nyquist plot of a system with transfer function GH(s) = system stability. Use Nyquist criterion, for i-K = 0.3 ii- K = 0.6 iii-K = 0.9. @=0\ 1104 K(S-2)(S-1) (s+2)(s-0.2) @=0.7 is shown in Fig.3A. Find the Im GH - plane @=+∞ @11 Fig.3A Re

Consider the block diagram shown below. At a certain point in the s-plane G(s) H (s) = 5Z180°, what value of gain, K, causes the point to be on the root locus? R(s) K G(s) C(s) H(s)

26) An open loop transfer function is given by G(s) = K (s + 1) / (s + 4) (s^2 + 3s + 2). It has: a. One zero at infinity b. Three zeroes at infinity c. Two zeroes at infinity d. None of the above

19) Calculate the poles and zeroes for the given transfer function G(s) = 5 (s + 2)/(s^2 + 3s + 2) a. -2, (-1, -2) b. 2, (-1,2) c. 2, (1, 2) d. -2, (1, -2)

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Control system Draw the Ver Curve of the Roots for the system given by the following open convolution transfer function: G(s) = s + 0.5➗ S^3 + 8s^2+ 17s + 10

Problem 1, continued H(s) = V₂(s) V₁(s) 9 × 104 s² + 6 x 10²s +9 x 10¹ (c) Make labelled sketches of 20log10 |H(jw)] and ZH(jw) versus frequency on a logarithmic scale. Straight-line approximations are okay.