Question
Download Solution PDFThe given figure represents:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
- A system is said to be input-output stable, or BIBO stable if the poles of the transfer function are in the left half of the complex plane.
- A system is said to be input-output unstable, or BIBO unstable if at least one pole of the transfer function is in the right half of the complex plane.
- A system is marginally stable if one or more distinct poles of the transfer function lie on the imaginary axis, and any remaining poles have negative real parts.
The poles location and system response along with the stability is given below:
|
Pole location |
Transfer function |
System response (approx.) |
Stability |
|
Left of s-plane |
\(\frac{k}{{\left( {S + a} \right)\left( {S + b} \right)}}\) |
|
Stable always |
|
On the jω axis |
\(\frac{k}{{{S^2} + {a^2}}}\) |
|
Marginal stable |
|
Right of s-plane |
\(\frac{k}{{\left( {S - a} \right)\left( {S - b} \right)}}\) |
|
Unstable always |
Whenever poles are complex conjugate in the right side of the s-plane then the system is exponential rise frequency of oscillations. The system is Unstable.
Last updated on Jun 28, 2025
-> DFCCIL Executive exam date 2025 has been released. DFCCIL exam date is July 10 & 11.
-> DFCCIL Executive city intimation slip has been released.
-> DFCCIL admit card 2025 for Executives will be released on July 7.
-> DFCCIL Executive Recruitment 2025 Correction window is open from 31st March, to 4th April 2025.
-> Candidates can make corrections in their application form, if they have made any mistake. There will be 100/- fee for correction in form.
-> DFCCIL Executive Recruitment 2025 application deadline has been extended.
-> Eligible and Interested candidates had applied from 18th January 2025 to 22nd March 2025.
-> A total of 175 Vacancies have been announced for multiple posts like Executive (Civil, Electrical, Signal and Telecommunication).
-> Candidates who will get a successful selection under the DFCCIL Recruitment 2025 for the Executive selection process will get a salary range between Rs. 30,000 to Rs. 1,20,000.
-> Candidates must refer to the DFCCIL Executive Previous Year Papers to prepare well for the exam.