Howtosignalprocessing
- What is a right half plane zero?
- Why are right half poles unstable?
- Can a system with a pole on the right half of the S plane be stable justify your answer with an example?
What is a right half plane zero?
The right-half-plane (RHP) zero has the same 20 dB/decade rising gain magni- tude as a conventional zero, but with 90° phase lag instead of lead. This characteristic is difficult if not impossible to compensate. The designer is usually forced to roll off the loop gain at a relatively low frequency.
Why are right half poles unstable?
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.
Can a system with a pole on the right half of the S plane be stable justify your answer with an example?
From above image we can see that poles in the right half of the S plane are unstable. A system is said to be stable if for bounded input there exists the bounded output. where the pi are the system poles. In a stable system all components of the homogeneous response must decay to zero as time increases.
