Howtosignalprocessing
- Can a system with pole on right half of the s-plane be stable?
- Why is a system with poles on the RHS of the s-plane an unstable system?
- How are poles related to stability?
- How do you know if a pole is stable or unstable?
Can a system with pole on right half of the s-plane be stable?
Further, if a signal has a pole on the right-hand side of the s-plane, then this represents an exponentially increasing signal. Similarly, if a transfer function has a pole in the right-hand side, then this indicates an unstable system (Fig.
Why is a system with poles on the RHS of the s-plane an unstable system?
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. In order for a linear system to be stable, all of its poles must have negative real parts, that is they must all lie within the left-half of the s-plane.
How are poles related to stability?
When the poles of the closed-loop transfer function of a given system are located in the right-half of the S-plane (RHP), the system becomes unstable. When the poles of the system are located in the left-half plane (LHP) and the system is not improper, the system is shown to be stable.
How do you know if a pole is stable or unstable?
If all the poles lie in the left half of the s-plane, then the system is stable. If the system has two or more poles in the same location on the imaginary axis, then the system is unstable. If the system has one or more non-repeated poles on the imaginary axis, then the system is marginally stable.
