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1. Decoupling Multivariable Name of the Presenter: Fraj Saleh  Hesham Jamal Ali Alshraani

2. Contents Introduction Understanding Multivariable Systems Challenges in Decoupling Decoupling Techniques Example for Decoupling a control system Conclusion

3. Introduction Decoupling Multivariable Systems      Decoupling multivariable systems is a crucial concept in control engineering that involves reducing or eliminating the interactions between multiple variables in a system. It allows for independent control of each variable, which is essential for achieving desired system performance and stability.

4. Introduction Importance in Control Engineering     Decoupling multivariable systems is important in control engineering as it enables engineers to design effective control strategies for complex systems with multiple interconnected variables. By decoupling the system, engineers can simplify the control design process and improve the overall performance and stability of the system.

5. Understanding Multivariable Systems Concept of Multivariable Systems Multivariable systems are systems that have more than one input and more than one output. They are commonly found in control engineering and involve complex interactions between multiple variables.

6. Challenges in Decoupling Multivariable Systems   Decoupling of MIMO systems can be challenging due to various factors: Interactions between variables: In multivariable systems, variables are often interconnected, making it difficult to isolate and control individual variables. Nonlinear relationships: Nonlinear relationships between variables can complicate the decoupling process.

7. Decoupling Techniques Input-Output Decoupling Input-output decoupling is a technique used to eliminate or reduce the coupling between inputs and outputs in a multivariable system. It involves designing a control system that can independently control each input and output variable. State-Space Decoupling State-space decoupling is a method used to decouple the state variables of a multivariable system. It involves transforming the system into a state-space representation and then designing a control system that can independently control each state variable.

8. Decoupling Techniques Observer-Based Decoupling Observer-based decoupling is a technique used to decouple a multivariable system using state observers. It involves designing an observer that estimates the system's state variables and then designing a control system that can independently control each estimated state variable. Model Predictive Control Model predictive control (MPC) is a control technique used to decouple multivariable systems. It involves using a mathematical model of the system to predict its future behavior and then designing a control system that can optimize the system's performance based on these predictions.

9. Example for Decoupling a control system

10. Example for Decoupling a control system

11. Example for Decoupling a control system

12. Example for Decoupling a control system

13. Thank you