Right half plane zero

1. What is a right half plane zero?
2. Does the system become unstable when the zero enters the right half of the s plane?
3. Why are right half poles unstable?
4. Why is the right side of the s plane unstable?

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.

Does the system become unstable when the zero enters the right half of the s plane?

The poles move towards the zeros and if there are zeros in the right half plane, the tendency for the system to become unstable is higher because finally the pole will assume the position of the zero. Such a system would be called a non-minimum phase system, and they are quite common.

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.

Why is the right side of the s plane unstable?

But on Right hand side of the s-plane apparently as t approaches 0 output approaches infinty which is not an ideal case in real life signals ultimately make the control systems unstable.