Assertion (A): The closed loop stability can be determined from the po...
Explanation: Closed loop system can be made stable if the poles of the closed loop system are all lying on the left half of the plane and this can be determined from the poles of an open loop system.
View all questions of this testAssertion (A): The closed loop stability can be determined from the po...
Explanation:
Open Loop Stability Analysis:
- The stability of a closed-loop system can be determined by analyzing the poles of the open-loop system.
- If any pole of the open-loop system lies in the right half of the complex plane, the system is considered unstable.
Polar Plot of Frequency Response:
- The polar plot of the frequency response can also provide valuable insights into the stability of the system.
- By examining the polar plot, one can determine the stability margins and gain and phase margins of the system.
Combining the Two Methods:
- By combining the information obtained from the poles of the open-loop system and the polar plot of the frequency response, one can effectively determine the closed-loop stability.
- An unstable system will have right-half-plane poles, indicating instability.
Conclusion:
- Therefore, both Assertion (A) and Reason (R) are true, and R provides a correct explanation of A.
- The poles of the open-loop system and the polar plot of the frequency response are crucial in determining the stability of a closed-loop system.