Relative Normalized Gain Array-based interaction indicator for non-square multivariable control systems: properties and application

摘要

This paper extends the square Relative Normalized Gain Array (RNGA) to non-square multivariable systems with the detailed derivation of non-square RNGA λRNproperties with column-major, i.e. λRN?Rr×n,rNon-square RNGA in this paper has a row-column inequality. The developed interaction indicator is applied to a non-square multivariable radiator laboratory test setup for evaluating control-loop interactions. Closed-loop results, as well as sensitivity analysis for the RNGA-based control-loop pairing in comparison to the RGA-based control-loop pairing, are presented in the paper. The results demonstrate the effectiveness of the proposed non-square RNGA over RGA for non-square multivariable systems to have minimum interactions and better control.