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Structure identification based on steady-state control: experimental results and applications.

Mattia Frasca¹, Dongchuan Yu, Luigi Fortuna

¹Dipartimento di Ingegneria Elettrica, Elettronica e dei Sistemi, Università degli Studi di Catania, viale A. Doria 6, 95125 Catania, Italy. mfrasca@diees.unict.it

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|April 7, 2010

Summary

This study introduces a novel steady-state control method for identifying nonlinear system structures. The technique reliably estimates system states and identifies special elements, demonstrating its practical applications.

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Area of Science:

Control Theory
Nonlinear Dynamics
System Identification

Background:

Nonlinear systems present challenges in structure identification and state estimation.
Traditional methods may require extensive system knowledge or be computationally intensive.

Purpose of the Study:

To present and experimentally validate a novel steady-state control method for nonlinear system structure identification.
To demonstrate the method's utility in estimating initial conditions and state variables.
To showcase the technique's application in identifying special elements within nonlinear systems.

Main Methods:

Driving the nonlinear system to a steady state using a feedback control input.
Implementing proportional feedback for system manipulation.
Utilizing the Chua oscillator with two attractors to validate the method.

Main Results:

The steady-state control method successfully identified the structure of the nonlinear system.
The technique proved reliable for estimating initial conditions and state variables.
The Chua oscillator example confirmed the method's effectiveness under specific experimental conditions.

Conclusions:

The proposed control-based structure identification method is a viable technique for nonlinear systems.
The method offers practical applications in state estimation and element identification.
Experimental validation, particularly with the Chua oscillator, supports the method's reliability and potential.