A lookup table is an array of data that maps input values to output values. You can use a lookup table to model your system, and tune the table data using measured data from your system. The resulting table represents a static system.
The behavior of actual physical systems often varies with time due to wear, environmental conditions, and manufacturing tolerances. Use adaptive lookup tables to model the time-varying behavior of physical plants. Adaptive lookup table values update dynamically with incoming input-output data as the model is simulated.