Why are poles on left half of plane stable?

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. 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).

When all the poles are in left half of s-plane the system should be?

1. If the poles of the closed loop are in the left half of the s-plane (negative and real), the system is stable. 2. If the poles of the closed loop are in the right half of the s-place (positive and real), the system is unstable.

What is the significance of addition of a zero on left half of s-plane to an unstable system?

Adding a LHP zero to the transfer function makes the step response faster (decreases the rise time and the peak time) and increases the overshoot. Adding a RHP zero to the transfer function makes the step response slower, and can make the response undershoot.

What is a pole-zero cancellation?

CTM: Pole/Zero Cancellation. Pole-Zero Cancellation. When an open-loop system has right-half-plane poles (in which case the system is unstable), one idea to alleviate this problem is to add zeros at the same locations as the poles, to cancel the unstable poles.

Where is the location of poles on the S plane that cause the control system become unstable?

right half
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.

How do zeros affect a control system?

In general, a smaller magnitude of zero makes the system response faster and increase the overshoot/undershoot. Similarly, a smaller magnitude of pole makes the system response slower.

What do zeros mean in control system?

Zeros are the roots of N(s) (the numerator of the transfer function) obtained by setting N(s) = 0 and solving for s. The polynomial order of a function is the value of the highest exponent in the polynomial.

What is the stability of a system explain any method for checking the stability of system?

If the system is stable by producing an output signal with constant amplitude and constant frequency of oscillations for bounded input, then it is known as marginally stable system. The open loop control system is marginally stable if any two poles of the open loop transfer function is present on the imaginary axis.

What is the reason for the backlash in a stable control system?

Backlash arises due to tolerance in manufacturing. In stable control, systems backlash is the form of the error that may cause low level of oscillations and hence can be useful sometimes as it increases the damping.