A smooth variable structure filter for state estimation

A new method of filtering strategy, referred to as the Smooth Variable Structure Filter (SVSF) is reviewed and applied to the problem of state estimation. The reaching stability of the SVSF (closely related to that of Variable Structure Control (VSC)), is verified by a mathematical proof. The mathematical foundation behind, and the methodology of SVSF are presented. The robustness of SVSF to system noise, measured noise and parameter variations is verified by a numerical example.