Virtual Estimator for Piecewise Linear Systems Based on Observability Analysis

Sensors

Cornelio Morales-Morales¹  Manuel Adam-Medina¹  Ilse Cervantes²  Luis G. Vela-Valdés and¹ 

[1] Centro Nacional de Investigación y Desarrollo Tecnológico, Departamento de Ingeniería Electrónica, Interior Internado de Palmira s/n, 69490 Cuernavaca, Morelos, Mexico; E-Mails:;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; E-Mail:

关键词: observability;    piecewise linear system;    estimator;    commutation law;   

DOI  :  10.3390/s130302735

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2013 by the authors; licensee MDPI, Basel, Switzerland.