Fault detection can be used to improve the reliability and safety of industrial system. An important component of fault detection is filtering for parameter and state estimation. The challenge is to create a filter that is robust and stable in light of modeling uncertainties and parametric changes due to fault conditions. In this book, a recently developed robust filter, referred to as the Smooth Variable Structure Filter (SVSF), is discussed and its concepts are explored and further investigated. The SVSFs chattering signals are used to establish a monitoring and reconstructing algorithm...