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Characterization of SiN Integrated Optical Phased Arrays on a Wafer-Scale Test Station

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Published on: April 1, 2020

Robust output synchronization of phase planar systems.

David I Rosas Almeida¹, Joaquin Alvarez

¹Universidad Autónoma de Baja California (UABC), Facultad de Ingeniería, Blvd. Benito Juárez s/n, Mexicali, Baja California, México. drosas@uabc.mx

Chaos (Woodbury, N.Y.)

|July 7, 2007

Summary

This study introduces a robust synchronization technique for phase planar systems using a discontinuous coupling signal and a novel observer. The method ensures reliable synchronization despite disturbances and limited state information.

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Area of Science:

Control Systems Engineering
Nonlinear Dynamics
Robotics

Background:

Master/slave synchronization is crucial for coordinating complex systems.
Existing methods often require full state vector access, limiting practical application.
Robustness against disturbances and parameter variations is a key challenge.

Purpose of the Study:

To develop a synchronization technique for phase planar systems using only available outputs.
To design a robust observer ensuring exponential convergence despite uncertainties.
To demonstrate the effectiveness of the proposed synchronization method through experimental validation.

Main Methods:

A master/slave synchronization scheme is employed for two phase planar systems.
A discontinuous coupling signal is utilized to enhance robustness.
A robust observer is designed to estimate the full state vector from system outputs.
Stability analysis of the closed-loop system is facilitated by the observer's convergence properties.

Main Results:

The proposed technique achieves exponential convergence to the synchronization state.
The system exhibits significant robustness against bounded disturbances and parameter variations.
The robust observer ensures accurate state estimation even with output-only measurements.
Experimental results validate the performance and reliability of the synchronization method.

Conclusions:

The developed synchronization technique offers a robust and practical solution for phase planar systems.
The integration of a robust observer enhances synchronization performance under realistic conditions.
This approach advances the field of synchronization control for systems with limited state information.