Question

The question is: State the transfer function, time step response and define the model parameters for a first order and integrating capacity.

Answer 1

In physics, transfer function maybe defined as mathematical representation (in terms of frequency) of interrelation between input and output in linear time uninterrupted systems with zero pint equilibrium and zero initial conditions. If talking particularly about control systems then it can be defined as the ratio of the Laplace transform of the output variable to the Laplace transform of the input variable, with all zero initial conditions.

Response time may refer to: The time lagged between the input and the output signal which depends upon the value of passive components used. Response time(technology), the time a generic system or functional unit takes to react to a given input. Responsiveness, how quickly an interactive system responds to user input.

One of the most common test inputs used is the unit step function,

     

The response of a system (with all initial conditions equal to zero at t=0^-, i.e., a zero state response) to the unit step input is called the unit step response. If the problem you are trying to solve also has initial conditions you need to include a zero input response in order to obtain the complete response.