Bristol has defined a matrix called the Relative Gain Array, as a measure of steady-state interaction for a given multivariable system, and gave a proof for the 2-input 2-output case. In this note, we provide a complete proof for the general case of an m-input m-output system.
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References
1.
Bristol, E.H.1966. 'On a new measure of interaction for multivariable process control', IEEE Trans, AC-10.
2.
Bristol, E.H.1967. 'A philosophy for single loop controllers in a multiloop world', ISA, CHEMPID Symposium, St Louis, Missouri, May.
