What types of signals are used as test signal? Find out unit-step response of a first order system.
Draw a typical unit-step response of a 2nd2^{nd}2nd order system and mention the related terminology.
Consider the negative feedback system having the gain G(s)=ks(s+1)(s+2)G(s) = \frac{k}{s(s+1)(s+2)}G(s)=s(s+1)(s+2)k, H(s)=1H(s) = 1H(s)=1. Determine the root loci on the real axis.
Why root locus plots are important? Mention the conditions for finding root locus. A negative feedback system has G(s)=k(s+1)(s+2)G(s) = \frac{k}{(s+1)(s+2)}G(s)=(s+1)(s+2)k, H(s)=1H(s)=1H(s)=1. Determine the root loci on the real axis.
Apply Routh's stability criterion on the feedback control system as in Fig. 3(b) and find out the value of kkk for stability.
Linearize the nonlinear system z=x2+8xy+3y2z = x^2 + 8xy + 3y^2z=x2+8xy+3y2 in the region defined by 2≤x≤42 \le x \le 42≤x≤4 and 10≤y≤1210 \le y \le 1210≤y≤12 and find out the linearization error at (4, 12).
Consider the negative feedback system having the gain G(s)=k(s+1)(s+2),H(s)=1G(s) = \frac{k}{(s+1)(s+2)}, H(s) = 1G(s)=(s+1)(s+2)k,H(s)=1 For the system Determine the root loci on the real axis. Determine the asymptotes of the root loci. Draw the root loci.
Find out the state-space model for the system shown in Figure 3(b) where uuu is the input and y1y_1y1 and y2y_2y2 are the corresponding output. Assume the rollers are frictionless.
A control system has the following characteristics equation: 3s7+9s6+6s5+4s4+7s3+8s2+2s+6=03s^7 + 9s^6 + 6s^5 + 4s^4 + 7s^3 + 8s^2 + 2s + 6 = 03s7+9s6+6s5+4s4+7s3+8s2+2s+6=0. Using Routh's stability criteria determine whether the system is stable or unstable. If unstable, how many poles are in the right half of s-plane.
Draw a typical unit-step response of a second order system and show related specifications of the response.
Consider a system having G(s)=ks(s+1)(s+2)G(s) = \frac{k}{s(s+1)(s+2)}G(s)=s(s+1)(s+2)k and H(s)=1H(s) = 1H(s)=1. Determine the root loci on the real axis for the system.
Determine the magnitude and phase of the output from a system when subjected to a sinusoidal input of 5sin(4t+60∘)5\sin(4t + 60^\circ)5sin(4t+60∘) if it has a transfer function of G(s)=4s+1G(s) = \frac{4}{s+1}G(s)=s+14.
Why root-locus method is used in control engineering? Write down the angle and magnitude conditions of the method.
Consider a PID controlled system shown in Fig 6(c). Determine the values of KpK_pKp, TiT_iTi and TdT_dTd using Ziegler-Nichols tuning rule.