Related MCQs

• Consider a unit feedback control system with open-loop transfer function <br>G (s) = K/ [s (s + 1)]. <br>The steady state error of the system due to a unit step input is
• Bode plot of a stable system is shown in figure below. The transfer function of the system is
• Given: KK₁ = 99; s = j₁ rad/s, the sensitivity of the closed-loop system (shown in the figure) to variation in parameter K is approximately
• The state representation of a second order system is <br>x₁ = x₁ u, x₂ = x₁ 2x₂ + u <br>Consider the following statements regarding the above system: <br>1. The system is completely state controllable. <br>2. If x₁ is the output, then the system is completely output controllable. <br>3. If x₂ is the output, then the system is completely output controllable. Of these statements
• The number of roots of s³ + 5 s² + 7 s + 3 = 0 in the left half of the s-plane is
• The maximum phase shift that can be provided by a lead compensator with transfer function <br><table><tr><td rowspan="2">G_c(s) = </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1 + 6s</center></td></tr><tr><td style="text-align: center;">1 + 2s</td></tr></table><br>is
• An integral controller is used to improve the transient response of a first order system. If G (s) = 1/1 + s and the system is operated in closed-loop with unity feedback, what is the value of T_i if integral controller transfer function is 1/T_i s to provide damping ratio of 0.5?
• The open loop transfer function of a unity feedback control system is given by: <br><table><tr><td rowspan="2">G(s) = </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>K</center></td></tr><tr><td style="text-align: center;">s(s + 1)</td></tr></table><br> If the gain K is increased to infinity, then the damping ratio will tend to become
• A process with open-loop model <br><table><tr><td rowspan="2">G(s) =</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>Ke^sT4</center></td></tr><tr><td style="text-align: center;"> s + 1</td></tr></table><br>is controlled by a PID controller. For this process
• The first two rows of Routh s tabulation of a fourth-order system are <br>s₄ 1 10 5 <br>s₃ 2 20 <br>The number of roots of the system lying on the right half of s-plane is