A transfer function of control system does not have pole-zero cancellation. Which one of the following statements is true?
Show Hint
- System is neither controllable nor observable.
- System is completely controllable and observable.
- System is observable but uncontrollable.
- System is controllable but unobservable.
The Correct Option is B
Solution and Explanation
Top Questions on Control Systems
A feedback control system is shown in the figure.
The maximum allowable value of \( n \) such that the output \( y(t) \), due to any step disturbance signal \( d(t) \), becomes zero at steady-state, is ________ (in integer).
- GATE IN - 2025
- Control Systems
- Control Systems
The plant in the feedback control system shown in the figure is \( P(s) = \frac{a}{s^2 - b^2} \), where \( a > 0 \) and \( b > 0 \). The type(s) of controller \( C(s) \) that CANNOT stabilize the plant is/are
- GATE IN - 2025
- Control Systems
- Control Systems
- The figure shows a closed-loop system with a plant \(G(s) = \frac{1}{s^2}\) and a lead compensator \(C(s)\). The compensator is designed to place the dominant closed-loop poles at \(-1.5 \pm j\frac{\sqrt{27}}{2}\). From the following options, choose the phase lead that the compensator needs to contribute.
- GATE IN - 2025
- Control Systems
- Control Systems
Consider the control system block diagram given in Figure (a). The loop transfer function $G(s)H(s)$ does not have any pole on the $j\omega$-axis. The counterclockwise contour with infinite radius, as shown in Figure (b), encircles two poles of $G(s)H(s)$. Choose the correct statement from the following options for closed loop stability of the system.
- GATE IN - 2025
- Control Systems
- Control Systems
- For the transfer function \( G(s) = 1 + \frac{2s - 1}{s^3 + 5s^2 + 3s + 22} \), the number of zeros lying in the left half of the \( s \)-plane is
- GATE IN - 2025
- Control Systems
- Control Systems
Questions Asked in AP PGECET exam
The variance for continuous probability function \(f(x) = x^2 e^{-x}\) when \(x \ge 0\) is
- AP PGECET - 2024
- Probability and Statistics
Consider the loop transfer function \(\frac {K(s+6)}{(s+3)(s+5)}\). In the root locus diagram the centroid will be located at:
- AP PGECET - 2024
- Transfer function
When nuclear radiations pass through, gas ionization is produced. This is the principle of which of the following detectors?
- AP PGECET - 2024
- Instrumentation
If \(f = \text{Tan}^{-1}(xy)\) then \((\frac{\partial f}{\partial x})_{(1,2)}\) = _____ .
- AP PGECET - 2024
- Calculus
- Line of Regression of y on x
- AP PGECET - 2024
- Linear regression