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Published November 1986 | public
Journal Article

Robust multivariable control system design for a fixed-bed reactor


The design of multivariable controllers in the face of model uncertainty is addressed. Recently developed structured singular value (µ) based analysis techniques allow a nonconservative assessment of robust stability and robust performance of multivariable systems. On the basis of these techniques a methodology for the design of robust multivariable controllers is outlined and is applied to the design of control systems for a fixed-bed methanation reactor. In one configuration the inlet temperature and the flow rate are optimally combined as manipulated variables for the regulation of the outlet temperature in the face of inlet concentration disturbances. In a second configuration the optimal regulation of the product concentration is investigated when only temperature measurements are available. First, H₂ optimal controllers are designed for the nominal cases. Next, knowledge about the model uncertainty is incorporated explicitly the basis of H₂ or H_∞ performance criteria.

Additional Information

© 1986 American Chemical Society. We are thankful to S. Skogestad, J. C. Doyle, E. Zafiriou, and D. E. Rivera for many useful discussions. Acknowledgment is made to the National Science Foundation (CBT-8315228), the donors of the Petroleum Research Fund, administered by the American Chemical Society, and the Department of Energy for the support of this research.

Additional details

August 22, 2023
October 18, 2023