Observability and Observer Design for Continuous-Time Perturbed Switched Linear Systems under Unknown Switchings

Authors

  • David Gomez Cinvestav, Unidad Guadalajara
  • Antonio Ramírez Cinvestav, Unidad Guadalajara
  • Stefano Di Gennaro University of L'Aquila
  • Carlos Renato Vázquez CUValles, Universidad de Guadalajara

DOI:

https://doi.org/10.13053/cys-19-4-2232

Keywords:

Switched systems, observability, finite time observers.

Abstract

In this work we address the observability andobserver design problem for perturbed switched linearsystems (SLS) subject to an unknown switching signal,where the continuous state and the evolving linearsystem (LS) are estimated from the continuous outputin spite of the unknown disturbance. The proposedobserver is composed of a collection of finite-time observers,one for each LS composing the SLS. Based onthe observability results hereinafter derived and in theobserver’s output estimation error, the evolving LS andits continuous state are inferred. Illustrative examplesare presented in detail.

Author Biographies

David Gomez, Cinvestav, Unidad Guadalajara

received the B.E.E degreefrom Instituto Tecnol´ogico de Ciudad Guzm´an andthe M.Sc. and the Ph.D. degrees from CINVESTAV,Campus Guadalajara, Mexico, in 2008 and 2013,respectively. Currently, he is a Research Scientistat Intel Labs, Intel Tecnolog´ıa de M´exico. His researchinterests include modeling, estimation andcontrol of hybrid dynamical systems, autonomoussystems, and robotics.

Antonio Ramírez, Cinvestav, Unidad Guadalajara

obtained the B.Sc. degreein Electrical Engineering from the Universidad Autónoma Metropolitana, Mexico City, México, in 1986, the M.Sc. degree from the Cinvestav, MexicoCity, Mexico, in 1990, and the Ph.D. degree fromthe Universidad de Zaragoza, Zaragoza, Spain, in1993. He is currently a Professor of Automationin Cinvestav, Campus Guadalajara, Mexico. Hismain research field deals with analysis and controlof discrete event systems, including controllability,observability, and stability.

Stefano Di Gennaro, University of L'Aquila

obtained the M.Sc. degree in NuclearEngineering in 1987 (summa cum laude), andthe Ph.D. degree in System Engineering in 1992,both from the University of Rome “La Sapienza”,Rome, Italy. In October 1990 he joined the Departmentof Electrical Engineering, University ofL’Aquila, as Assistant Professor of Automatic Control.Since 2001, he has been Associate Professorof Automatic Control at the University of L’Aquila.In 2012 he joined the Department of InformationEngineering, Computer Science, and Mathematicsand he is also with the Center of ExcellenceDEWS. He delivers courses on Automatic Controland Nonlinear Control. He has been visiting varandNonlinear Control. He has been visiting variousResearch Centers, among which there arethe Department of Electrical Engineering of thePrinceton University, the Department of ElectricalEngineering and Computer Science at Berkeley,and the Centro de Investigaci ´on y Estudios Avanzadosdel IPN, in Guadalajara. He is working inthe area of hybrid systems, regulation theory, andapplications of nonlinear control.

Carlos Renato Vázquez, CUValles, Universidad de Guadalajara

received the Bachelor degreein Mechanical and Electrical Engineering from theUniversity of Guadalajara (M´ exico), in 2004, andthe M.Sc. degree in Electrical Engineering withthe specialty in Automatic Control from the CINVESTAV,M´exico, in 2006. In June 2011, he obtainedthe Ph.D. degree in Systems Engineeringfrom the Department of Informatics and SystemsEngineering of the University of Zaragoza (Spain).His research is devoted to the study of qualitativeand quantitative properties of hybrid dynamicalsystems, continuous and hybrid Petri nets.

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Published

2015-12-18

Issue

Vol. 19 No. 4 (2015): 19(4) 2015 Thematic issue: Computational Linguistics (Guest editor: A. Gelbukh)

Section

Articles

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