Chapter 14. Multivariable Control

After studying this chapter, the reader should be able to do the following:

  • Understand the performance limitations of processes with RHP transmission zeros

  • Understand the effect of “direction” in a multivariable system

  • Perform matrix transfer function block-diagram analyses and understand that the order of multiplication is very important

  • Design a decoupling controller

  • Understand the basic multivariable IMC design

The major sections of this chapter are as follows:

14.1 Background

14.2 Zeros and Performance Limitations

14.3 Scaling Considerations

14.4 Directional Sensitivity and Operability

14.5 Block-Diagram Analysis

14.6 Decoupling

14.7 IMC

14.8 MATLAB tzero, svd, and LTI Functions

14.9 Summary

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