Nonlinear Descriptor Observer for Chaos Synchronization

Nonlinear Descriptor Observer design for Chaos Synchronization and Secure Communications

The code implements the Observer design proposed in the following work:

Moysis, L., Volos, C., Pham, V. T., Goudos, S., Stouboulos, I., Gupta, M. K., & Mishra, V. K. (2019). Analysis of a chaotic system with line equilibrium and its application to secure communications using a descriptor observer. Technologies, 7(4), 76.

https://www.mdpi.com/2227-7080/7/4/76

Please cite this work if you use the code below. The code is broken in sections. Run each section separately using ctr+enter, or by clicking the 'run section' button.

Details about the observer design are provided in the paper, which is open access. We suggest that you read the work first, to get a grasp of the code.

The observer synchronizes with a chaotic system, and also estimates an unknown input.

Check also the recent review on the topic:

https://link.springer.com/article/10.1007/s00034-024-02617-1

and the videos discussing observer and descriptor systems:

https://www.youtube.com/watch?v=gYrmrLSS_fQ

https://www.youtube.com/watch?v=7w_wBaut4GU

https://www.youtube.com/watch?v=8kKkq2mk7gA

Lazaros Moysis

Youtube channel: https://www.youtube.com/@lazaros_moysis

RG: https://www.researchgate.net/profile/Lazaros-Moysis