Difference between state space and transfer function model response (in Simulink)

1. What are the differences between transfer function and state space representation?
2. What is transfer function in Simulink?
3. How to convert state-space model to transfer function in MATLAB?
4. What does state space mean in MATLAB?
5. How is the transfer function derived from the state space model?

What are the differences between transfer function and state space representation?

The key difference between PID control (aka “transfer control”) and state space control is that the state space method takes into account the internal state of the system, through what are referred to as “state variables.” These state variables describe the system and its response to any given set of inputs.

What is transfer function in Simulink?

A transfer function describes the relationship between input and output in Laplace (frequency) domain. Specifically, it is defined as the Laplace transform of the response (output) of a system with zero initial conditions to an impulse input.

How to convert state-space model to transfer function in MATLAB?

[ b , a ] = ss2tf( A , B , C , D ) converts a state-space representation of a system into an equivalent transfer function. ss2tf returns the Laplace-transform transfer function for continuous-time systems and the Z-transform transfer function for discrete-time systems.

What does state space mean in MATLAB?

A state-space model is a mathematical representation of a physical system as a set of input, output, and state variables related by first-order differential equations. The state variables define the values of the output variables.

How is the transfer function derived from the state space model?

Transfer Function from State Space Model

Apply Laplace Transform on both sides of the state equation. Apply Laplace Transform on both sides of the output equation. Substitute, X(s) value in the above equation. The above equation represents the transfer function of the system.