Table of Contents
- 1 How poles affect the stability of the system?
- 2 Why is a system with poles on the RHS of the S plane an unstable system?
- 3 Can a system with pole on right half of the s-plane be stable?
- 4 What is a stable system?
- 5 What is the difference between stable and unstable poles?
- 6 Do the Poles matter for closed-loop stability?
How poles affect the stability of the system?
Addition of poles to the transfer function has the effect of pulling the root locus to the right, making the system less stable. Addition of zeros to the transfer function has the effect of pulling the root locus to the left, making the system more stable.
Is there is a pole in left half of s-plane system is?
all poles lie in the left half of the s-plane and no pole lies on imaginary axis. all poles lie in the right half of the s-plane.
Why is a system with poles on the RHS of the S plane an unstable system?
As time increases (in a stable system) all components of the homogeneous response must decay to zero. If any pole has a positive real part there is a component in the output that increases without bound, causing the system to be unstable.
What is the effect of adding pole to a system?
Effect of addition of pole to closed loop transfer function: The addition of left half pole tends to slow down the system response. The effect of addition of pole becomes more pronounced as pole location drifts away from imaginary axis. Addition of right half pole will make overall system response to be less stable.
Can a system with pole on right half of the s-plane be stable?
If the poles of the closed loop are in the right half of the s-place (positive and real), the system is unstable. If the poles appear on the imaginary axis and none appear in the Right Hand Plane, the system is marginally stable.
What is stable system?
Roughly speaking, a system is stable if it always returns to and stays near a particular state (called the steady state), and is unstable if it goes farther and farther away from any state, without being bounded.
What is a stable system?
Can a system with a pole on the right half of the s plane be stable?
What is the difference between stable and unstable poles?
So, in order for a linear system to be stable, all of its poles must have negative real parts (they must all lie within the left-half of the s-plane). An “unstable” pole, lying in the right half of the s-plane, generates a component in the system homogeneous response that increases without bound from any finite initial conditions. Share
How stable is the system in the left half plane?
To my knowledge, as long as the poles of the transfer function are in the left half plane, then the system is stable. It is because the time response can be written as “a*exp(-b*t)” where ‘a’ and ‘b’ are positive. Therefore, the system is stable. However, I saw people stated on websites that “Also no zero is allow in the right half plane”.
Do the Poles matter for closed-loop stability?
In summary, if you have the closed-loop transfer function of a system, only the poles matter for closed-loop stability. But if you have the open-loop transfer function you should find the zeros of the 1+G (s)H (s) transfer function and if they are in the left half-plane, the closed-loop system is stable.
What makes a linear system stable or unstable?
So, in order for a linear system to be stable, all of its poles must have negative real parts (they must all lie within the left-half of the s-plane). An “unstable” pole, lying in the right half of the s-plane, generates a component in the system homogeneous response that increases without bound from any finite initial conditions.