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Related Experiment Video

Updated: May 13, 2026

Characterization of Anisotropic Leaky Mode Modulators for Holovideo

Characterization of Anisotropic Leaky Mode Modulators for Holovideo

Published on: March 19, 2016

Virtual estimator for piecewise linear systems based on observability analysis.

Cornelio Morales-Morales¹, Manuel Adam-Medina, Ilse Cervantes

¹Centro Nacional de Investigación y Desarrollo Tecnológico, Departamento de Ingeniería Electrónica, Interior Internado de Palmira s/n, 69490 Cuernavaca, Morelos, Mexico. corneliomoralesmorales@gmail.com

Sensors (Basel, Switzerland)

|March 1, 2013

Summary

This study introduces a virtual sensor for piecewise linear systems, enabling state estimation and active mode detection even with unknown commutation sequences. This enhances system observability analysis for discrete-time models.

Related Experiment Videos

Last Updated: May 13, 2026

Characterization of Anisotropic Leaky Mode Modulators for Holovideo

Characterization of Anisotropic Leaky Mode Modulators for Holovideo

Published on: March 19, 2016

Area of Science:

Control Systems Engineering
Systems Theory
Signal Processing

Background:

Piecewise linear systems are common in various engineering fields.
Estimating system states and identifying active modes are crucial for control and monitoring.
Observability analysis is fundamental for state estimation.

Purpose of the Study:

To propose a novel virtual sensor for piecewise linear systems.
To develop a method for detecting the active mode in systems with unknown commutation sequences.
To establish a methodology for testing observability in discrete-time piecewise linear systems.

Main Methods:

Observability analysis tailored for piecewise linear systems.
Development of a virtual sensor (state estimator) dependent on a commutation law.
Proposal of virtual estimators to discern commutation paths.
Methodology for discrete-time observability testing.

Main Results:

A functional virtual sensor for piecewise linear systems was designed.
A detector for the active mode was presented, effective for arbitrary commutation sequences.
A systematic approach to test observability in these systems was established.
An academic example validated the proposed methods.

Conclusions:

The proposed virtual sensor and active mode detector effectively address state estimation challenges in piecewise linear systems.
The developed observability testing methodology is applicable to discrete-time systems.
The findings contribute to improved system analysis and control design for piecewise linear systems.