Version 1.0, August 31, 2001, Copyright, Hugh Jack 1993-2001

5.3.1 The Backward-Shift `B' Operator

 

· An operator is a special part of an equation - one example is the (d/dt) of calculus.

 

· The basic definition of the backshift operator `B' is,

 

 

· If we apply this operator to an equation seen before,

 

 

· This form then allow some very useful techniques that we will see later.

 

· Apply the `B' transform to the PID expression found before,

 

 

· Apply the `B' transform to the valve and water tank found before,