# What is the condition for zero state response?

## What is the condition for zero state response?

In electrical circuit theory, the zero state response (ZSR), is the behaviour or response of a circuit with initial state of zero. The ZSR results only from the external inputs or driving functions of the circuit and not from the initial state.

What is the zero state response of the difference equation?

To find the zero-state response, we first set all the initial conditions to zero i.e. y(n−1)(0−)=0, y ( n – 1 ) ⁢ y(n−2)(0−)=0, y ( n – 2 ) ⁢ .

### What is the steady-state response of a transfer function?

Steady state occurs after the system becomes settled and at the steady system starts working normally. Steady state response of control system is a function of input signal and it is also called as forced response.

How do zeros affect step response?

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.

## Why we take initial conditions zero in transfer function?

Zero initial conditions ensure Linearity. That is why, Initial Conditions are assumed to be Zero in transfer function model. The systems should be linear. Zero Initial Conditions ensure linearity.

Why initial conditions are zero while defining transfer function?

We use LTI systems in practice. That means the system should be LINEAR. Zero initial conditions ensure Linearity. That is why, Initial Conditions are assumed to be Zero in transfer function model.

### What is the difference between steady state response and transient response?

In electrical engineering specifically, the transient response is the circuit’s temporary response that will die out with time. It is followed by the steady state response, which is the behavior of the circuit a long time after an external excitation is applied.

What is the effect of zeros in the transfer function of a 2nd order system?

The standard second-order system has no zeros in the transfer function. If the system is modified to include a zero in it, the overshoot and settling time are greatly affected by the location of that zero.

## Do the zeros of a system change with a change in gain?

A plot of the possible closed-loop pole locations as some parameter varies from 0 to ∞. 4. Do the zeros of a system change with a change in gain? No.

When the input is given and initial conditions are zero the resulting response is known as?

This defines two responses, one which is due completely to the input, with zero initial conditions, called the zero-state solution.

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