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Sensors 2013, 13(3), 2735-2749; doi:10.3390/s130302735

Virtual Estimator for Piecewise Linear Systems Based on Observability Analysis

1,2,* , 1
1 Centro Nacional de Investigación y Desarrollo Tecnológico, Departamento de Ingeniería Electrónica, Interior Internado de Palmira s/n, 69490 Cuernavaca, Morelos, Mexico 2 Departamento de Ingeniería Electrónica y Telecomunicaciones, Universidad Politécnica del Estado de Morelos, Boulevard Cuauhnáhuac #566, Col. Lomas del Texcal, 62550 Jiutepec, Morelos, Mexico 3 Applied Mathematics Division, Institute for Scientific and Technological Research of San Luis Potosi (IPICyT), Camino a la Presa San José 2055, Col. Lomas 4 sección, CP. 78216, San Luis Potosí S.L.P., Mexico
* Author to whom correspondence should be addressed.
Received: 11 January 2013 / Revised: 11 February 2013 / Accepted: 16 February 2013 / Published: 27 February 2013
(This article belongs to the Section Physical Sensors)
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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.
Keywords: observability; piecewise linear system; estimator; commutation law observability; piecewise linear system; estimator; commutation law
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Morales-Morales, C.; Adam-Medina, M.; Cervantes, I.; Vela-Valdés, L.G.; Beltrán, C.D.G. Virtual Estimator for Piecewise Linear Systems Based on Observability Analysis. Sensors 2013, 13, 2735-2749.

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