Estimation using a new variable structure filter

This paper presents the application of a new strategy for estimation of state variables to a hydrostatic actuation system. The strategy may be applied to linear and nonlinear systems and is referred to as the variable structure filter and extended variable structure filter, respectively. The filter is considered for discrete-time systems subject to random disturbances and measurement noises. A proof of stability for the filter is provided. For stability, this filtering concept requires a specification of an upper bound for the random disturbances and measurement noise.