Why left half plane is stable?

In general a system is stable if every bounded input yields a bounded output. And a system is unstable if any bounded input yields an unbounded output. The system is stable if its poles in the left half-plane . Because this yield either pure exponential decay or damped sinusoidal natural responses.

What would be effect on system step response if its zero is lies at right side in s plane?

If the poles are the real and right side of the s-plane, the step response reaches infinity without any oscillations. If the poles are the complex and right side of the s-plane, the step response reaches infinity with damped oscillations.

When roots are lie on the right half of the plane What about the stability?

Marginally Stable System: If all the roots of the system lie on the imaginary axis of the ‘S’ plane then the system is said to be marginally stable. Unstable System: If all the roots of the system lie on the right half of the ‘S’ plane then the system is said to be an unstable system.

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 the difference between right half plane zero and left half?

The right half plane zero has gain similar to that of left half plane zero but its phase nature is like a pole i.e., it adds negative phase to the system. Instead phase increasing from 0 to 90 degrees, its phase increases from 0 to -90 degrees. This causes delay in your system response which can lead to instability if not taken care.

What is the application of right half plane zero in power electronics?

RHP zeros are a good method to model the system delay in power electronics converters and analyze its influence in the closed loop stability. The right half plane zero has gain similar to that of left half plane zero but its phase nature is like a pole i.e., it adds negative phase to the system.

What is the gain crossover frequency of right half plane zero?

In general, if you take gain crossover frequency as one tenth of the right half plane zero frequency, your system will be stable. This phenomena of instant fall in voltage and then raising towards the reference value becomes a right half plane zero in the transfer function.

Why do poles move towards the zeros in a system?

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.