Lower Bound of Variance Minimization in Lean Combustion Control

Abstract In this paper, the analysis on the performance of combustion variation feedback control is conducted based on the information theory. According to the theorem which calculates the lower boundary in variance minimization from the Gaussianity-Whiteness of the signal, the feedback control cannot reduce the error variance caused by white Gaussian disturbance. Then, as combustion variation control performance validation, the lower boundary in variance minimization under one certain lean combustion condition are calculated and the control performances of several controllers are compared to the lower boundary.