Transfer Function Derivation from State Model Statement Problem No 3 - Control Systems

TL;DR

This video explains how to determine the transfer function of a system using the state model approach.

Transcript

hello friends in this video we are going to solve a problem on how to determine the transfer function of the system using the state model so let's take a problem so our problem is to determine the transfer function of this system the block diagram of the system is given to us now from this block diagram we have to determine first the state model an... Read More

Key Insights

• 🚫 State equations are derived from the block diagram to obtain the state model of the system.
• 🔠 The state model consists of matrices representing the coefficients of state variables, inputs, and outputs.
• ❓ The transfer function can be calculated using the state model and the formula c(sI - A)^(-1)B.
• 🙃 The inverse of sI - A is found by calculating the adjoint and determinant of sI - A.

Questions & Answers

Q: What is the first step in determining the transfer function using the state model?

The first step is to derive the state equations from the given block diagram.

Q: How are the state equations obtained from the block diagram?

The state equations are obtained by considering the inputs and outputs at various points in the block diagram and expressing them in terms of state variables.

Q: What is the next step after obtaining the state equations?

The next step is to form the state model by organizing the coefficients of the state variables, inputs, and outputs.

Q: How is the transfer function calculated from the state model?

The transfer function is calculated using the formula c(sI - A)^(-1)B, where c, A, and B are matrices obtained from the state model.

Summary & Key Takeaways

• The video demonstrates solving a problem to determine the transfer function of a system using a given block diagram.

• State equations are derived from the block diagram to obtain the state model of the system.

• The state model is then used to calculate the transfer function of the system.