{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,12]],"date-time":"2025-12-12T13:23:28Z","timestamp":1765545808522,"version":"build-2065373602"},"reference-count":25,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2013,2,27]],"date-time":"2013-02-27T00:00:00Z","timestamp":1361923200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>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\u2019s 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.<\/jats:p>","DOI":"10.3390\/s130302735","type":"journal-article","created":{"date-parts":[[2013,2,27]],"date-time":"2013-02-27T11:43:57Z","timestamp":1361965437000},"page":"2735-2749","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Virtual Estimator for Piecewise Linear Systems Based on Observability Analysis"],"prefix":"10.3390","volume":"13","author":[{"given":"Cornelio","family":"Morales-Morales","sequence":"first","affiliation":[{"name":"Centro Nacional de Investigaci\u00f3n y Desarrollo Tecnol\u00f3gico, Departamento de Ingenier\u00eda Electr\u00f3nica, Interior Internado de Palmira s\/n, 69490 Cuernavaca, Morelos, Mexico"},{"name":"Departamento de Ingenier\u00eda Electr\u00f3nica y Telecomunicaciones, Universidad Polit\u00e9cnica del Estado de Morelos, Boulevard Cuauhn\u00e1huac #566, Col. Lomas del Texcal, 62550 Jiutepec, Morelos, Mexico"}]},{"given":"Manuel","family":"Adam-Medina","sequence":"additional","affiliation":[{"name":"Centro Nacional de Investigaci\u00f3n y Desarrollo Tecnol\u00f3gico, Departamento de Ingenier\u00eda Electr\u00f3nica, Interior Internado de Palmira s\/n, 69490 Cuernavaca, Morelos, Mexico"}]},{"given":"Ilse","family":"Cervantes","sequence":"additional","affiliation":[{"name":"Applied Mathematics Division, Institute for Scientific and Technological Research of San Luis Potosi (IPICyT), Camino a la Presa San Jos\u00e9 2055, Col. Lomas 4 secci\u00f3n, CP. 78216, San Luis Potos\u00ed S.L.P., Mexico"}]},{"given":"Luis","family":"Vela-Vald\u00e9s","sequence":"additional","affiliation":[{"name":"Centro Nacional de Investigaci\u00f3n y Desarrollo Tecnol\u00f3gico, Departamento de Ingenier\u00eda Electr\u00f3nica, Interior Internado de Palmira s\/n, 69490 Cuernavaca, Morelos, Mexico"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1607-5555","authenticated-orcid":false,"given":"Carlos","family":"Beltr\u00e1n","sequence":"additional","affiliation":[{"name":"Centro Nacional de Investigaci\u00f3n y Desarrollo Tecnol\u00f3gico, Departamento de Ingenier\u00eda Electr\u00f3nica, Interior Internado de Palmira s\/n, 69490 Cuernavaca, Morelos, Mexico"}]}],"member":"1968","published-online":{"date-parts":[[2013,2,27]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Johansson, M. (2003). Piecewise linear control systems. Lect. Note. Contr. Inf. 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