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This paper attempts to address a common difficulty encountered when trying to justify a process control revamp or upgrading project  the ability to quantify potential savings/profits. A relatively simple procedure that is applicable to both continuous and digital controllers is described. Given models of the process and the controller, knowledge of the disturbance frequencies and their variances, the method is able to predict accurately the variance of the controlled output of linear control systems.

Estimating Output Variance in Closed Loop Systems