%0 Journal Article %T Virtual Estimator for Piecewise Linear Systems Based on Observability Analysis %A Cornelio Morales-Morales %A Manuel Adam-Medina %A Ilse Cervantes %A Luis G. Vela-Vald¨¦s %A Carlos Daniel Garc¨ªa Beltr¨¢n %J Sensors %D 2013 %I MDPI AG %R 10.3390/s130302735 %X This article proposes a virtual sensor for piecewise linear systems based on observability analysis that is in function of a commutation law related with the system¡¯s outpu. This virtual sensor is also known as a state estimator. Besides, it presents a detector of active mode when the commutation sequences of each linear subsystem are arbitrary and unknown. For the previous, this article proposes a set of virtual estimators that discern the commutation paths of the system and allow estimating their output. In this work a methodology in order to test the observability for piecewise linear systems with discrete time is proposed. An academic example is presented to show the obtained results. %K observability %K piecewise linear system %K estimator %K commutation law %U http://www.mdpi.com/1424-8220/13/3/2735