Register

GATE Electrical 2019 | Question: 15

• recategorized by
346 views
0 0 votes

The characteristic equation of a linear time-invariant (LTI) system is given by

$$\Delta(s)=s^{4}+3s^{3}+3s^{2}+s+k=0$$

The system is BIBO stable if

  1. $0<K<\frac{12}{9}$
  2. $k>3$
  3. $0<k<\frac{8}{9}$
  4. $k>6$

Please log in or register to answer this question.

Voting & Accepting an answer helps improve the community

Related questions

0 0 votes
0 0 answers
373
373 views
Arjun asked Feb 12, 2019
373 views
GATE Electrical 2019 | Question: 14
The open loop transfer function of a unity feedback system is given by$$G(s)=\frac{\pi e^{-0.25s}}{s}$$In $G(s)$ plane, the Nyquist plot of $G(s)$ passes through the nega...
0 0 votes
0 0 answers
558
558 views
Arjun asked Feb 12, 2019
558 views
GATE Electrical 2019 | Question: 29
The asymptotic Bode magnitude plot of a minimum phase transfer function $G(s)$ is shown below.Consider the following two statements.Statement I: Transfer function $G(s)$ ...
0 0 votes
0 0 answers
262
262 views
Arjun asked Feb 12, 2019
262 views
GATE Electrical 2019 | Question: 30
The transfer function of a phase lead compensator is given by$$D(s) = \frac{3 \bigg( s+ \frac{1}{3T} \bigg)}{ \bigg( s+ \frac{1}{T} \bigg)}$$The frequency (in rad/sec), a...
0 0 votes
0 0 answers
243
243 views
Arjun asked Feb 12, 2019
243 views
GATE Electrical 2019 | Question: 31
Consider a state-variable model of a system$\begin{bmatrix} x_1 \\ x_2 \end{bmatrix} = \begin{bmatrix} 0 & 1 \\ -\alpha & – 2 \beta \end{bmatrix} \begin{bmatrix} x_1 \\ ...
← Previous · GATE Electrical 2019...Next → · GATE Electrical 2019...
← Previous in category · GATE Electrical 2019...Next in category → · GATE Electrical 2019...
Position:
Show:
Answer: