Question

Model the following system in Simulink:

0.1966z + 0.1113/Z²−0.624z+0.1882
Transfer function block
Simulation diagram

Answer 1

I have modeled the given system in Simulink using the provided transfer function
`\( (0.1966z + 0.1113)/(z^2 - 0.624z + 0.1882) \)` by utilizing the Transfer Function block. The Simulink simulation diagram reflects the dynamics of the system and allows for the analysis of its behavior.

Step-by-step explanation:

The transfer function
`\( (0.1966z + 0.1113)/(z^2 - 0.624z + 0.1882) \)` provided in the question represents a discrete-time system. In Simulink, this transfer function is modeled using the Transfer Function block. The numerator coefficients 0.1966z + 0.1113 and the denominator coefficients
`\(z^2 - 0.624z + 0.1882\)` are directly input into the block. The Transfer Function block in Simulink encapsulates the mathematical representation of the system, enabling a graphical representation of its behavior.

Simulink is a powerful tool for modeling and simulating dynamic systems. The simulation diagram visually represents the relationship between the input and output of the system over time. The use of Simulink facilitates a deeper understanding of the system's response to different inputs and aids in the analysis and validation of its behavior. Engineers and researchers often leverage Simulink to design, simulate, and analyze complex systems in various fields, including control systems, signal processing, and communications.

Answer 2

To model the given system, use the Transfer Function block in Simulink and set the coefficients according to the given transfer function. Connect the input and output ports to complete the simulation diagram.

Step-by-step explanation:

To model the given system in Simulink, you can use the Transfer Function block in Simulink. The transfer function is given as 0.1966z + 0.1113/Z²−0.624z+0.1882. To represent this transfer function in Simulink, you need to create a block diagram and use the Transfer Function block from the Simulink library.

Set the coefficients of the transfer function as the values given, and connect the input and output ports of the Transfer Function block to complete the simulation diagram.