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

Virtual Estimator for Piecewise Linear Systems Based on Observability Analysis

1,2,* , 1
,
3
,
1
 and
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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Abstract

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 3.0).
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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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