Robust nested sliding mode integral control for anti-lock brake system

Abstract

Eigenvectors of stress-energy tensor (the source in Einstein's equations) form privileged bases in description of the corresponding spacetimes. When one or more of these vector fields are rotating (the property well determined in differential geometry), one says that the spacetime executes this rotation. Though the rotation in its proper sense is understood as that of a timelike congruence (vector field), the rotation of a spacelike congruence is not a less objective property if it corresponds to a canonical proper basis built of the just mentioned eigenvectors. In this last case, we propose to speak on pseudo-rotation. The both properties of metric, its material sources, and spacetime symmetries are considered in this paper. " Springer-Verlag 2005.",,,,,,"10.1007/s10714-005-0062-7",,,"http://hdl.handle.net/20.500.12104/44339","http://www.scopus.com/inward/record.url?eid=2-s2.0-18244402644&partnerID=40&md5=57079fff9f7de7203b47aa5467ddbf09",,,,,,"4",,"General Relativity and Gravitation",,"781

792",,"37",,"Scopus

WOS",,,,,,"Killing vectors; Proper basis; r-forms; Rotation",,,,,,"Rotation and pseudo-rotation",,"Article" "46156","123456789/35008",,"Moreno-Ceja, F.; Zumaya-Leal, M.R., Universidad de Guadalajara, Mexico; Cortés-Vera, J.J., Universidad Autónoma de Ciudad Juárez, Mexico",,"Moreno-Ceja, F.

Zumaya-Leal, M.R.

Cortes-Vera, J.J.",,"2011",,"This paper is based on the publications produced in a decade by researchers in the State of Chihuahua, Mexico; the analysis is predominantly quantitative and was undertaken through bibliometric techniques, being its objective to examine the production of scientific knowledge in the state, considering as starting point the documents included in the database of ISI Web of Knowledge during 1999-2008. The methodology followed considered the application of bibliometric indicators such as: output, subject areas, typology, language, collaboration, number of authors contributing to each article, among others. Regarding output, it was observed that the total production reported for the period under study was of 973 documents; it was also found that only 10 institutions had a presence in the total outcome; the main subject areas were Materials science (28.98%), followed by Physics (26.10%); the preferred format was the article (60.64%); the main language was English (93.53%). Concerning collaboration: most of it was international (39.47%), where the main partner was the United States (52.08%); the rate of authors per document was 4.66.",,,,,,,,,"http://hdl.handle.net/20.500.12104/44377","http://www.scopus.com/inward/record.url?eid=2-s2.0-84867820828&partnerID=40&md5=146f9fff16c232c34813df301baf4373",,,,,,"55",,"Investigacion Bibliotecologica",,"201

225",,"25",,"Scopus",,,,,,"Bibliometric indicators; Bibliometrics; Chihuahua; Scientific production",,,,,,"Scientific production in the state of Chihuahua, 1999- 2008: Analysis of publications registered by ISI Web of Knowledge [Producción científica en el estado de Chihuahua, 1999-2008: Análisis de las publicaciones registradas por el ISI Web of Knowledge]",,"Article" "46086","123456789/35008",,"Sánchez-Torres, J.D., Laboratory of Automatic Control, CINVESTAV Unidad Guadalajara, Zapopan, Jalisco 45015, Mexico; Loukianov, A.G., Laboratory of Automatic Control, CINVESTAV Unidad Guadalajara, Zapopan, Jalisco 45015, Mexico; Galicia, M.I., Laboratory of Automatic Control, CINVESTAV Unidad Guadalajara, Zapopan, Jalisco 45015, Mexico; Domínguez, J.R., Centro Universitario de Ciencias Exactas e Ingenierías, Universidad de Guadalajara, Guadalajara, Jalisco 44430, Mexico",,"Sanchez-Torres, J.D.

Loukianov, A.G.

Galicia, M.I.

Dominguez, J.R.",,"2013",,"An integral nested Sliding Mode (SM) block control is proposed to control an Anti-lock Brake System (ABS) by employing integral SM and nested SM concepts. The control problem is to achieve reference tracking for the slip rate, in such a way that the friction between the tyre and the road surface is good enough to control the car. The closed-loop system is robust in the presence of matched and unmatched perturbations. To show the performance of the proposed control strategy, a simulation study is carried on, where results show good behaviour of the ABS under variations in the road friction. Copyright " 2013 Inderscience Enterprises Ltd.