Controlled synchronization of chaotic systems with uncertainties via a sliding mode control design.

Phys Rev E Stat Nonlin Soft Matter Phys

INRIA Lorraine, Project CONGE and University of Metz, ISGMP, Bâtiment A, Ile de Saulcy, 57045 Metz Cedex 01, France.

Published: December 2004

This paper addresses the problem of robust adaptive control for synchronization of continuous-time coupled chaotic systems with uncertainties. A general model is studied using measured output state feedback control. An adaptive controller is designed based on a sliding mode control design. When only the output variable is measurable for synchronization, the adaptive controller is designed by incorporating with an observer. Two numerical examples are presented to show the effectiveness of the proposed chaos synchronization method.

Download full-text PDF

Source
http://dx.doi.org/10.1103/PhysRevE.70.066217DOI Listing

Publication Analysis

Top Keywords

chaotic systems
8
systems uncertainties
8
sliding mode
8
mode control
8
control design
8
adaptive controller
8
controller designed
8
controlled synchronization
4
synchronization chaotic
4
uncertainties sliding
4

Similar Publications

Investigating Cell-Induced Mixing Dynamics in Microfluidic Droplets Using the Lattice Boltzmann Method.

Langmuir

January 2025

CNNFM Lab, School of Mechanical Engineering, College of Engineering, University of Tehran, P.O. Box 11155-4563 Tehran, Iran.

This study investigates the impact of cell dynamics on mixing efficiency within a microfluidic droplet, emphasizing the relationship between cell motion, deformability, and resultant asymmetry in velocity and concentration fields. Simulations were conducted for droplets containing encapsulated cells at varying Peclet numbers ( = 100-800) and coupling constants ( = 0.0025, 0.

View Article and Find Full Text PDF

Qualitative analysis in mathematical modeling has become an important research area within the broad domain of nonlinear sciences. In the realm of qualitative analysis, the bifurcation method is one of the significant approaches for studying the structure of orbits in nonlinear dynamical systems. To apply the bifurcation method to the (2 + 1)-dimensional double-chain Deoxyribonucleic Acid system with beta derivative, the bifurcations of phase portraits and chaotic behaviors, combined with sensitivity and multi-stability analysis of this system, are examined.

View Article and Find Full Text PDF

A high security physical layer encryption scheme for dual-mode orthogonal frequency division multiplexing with index modulation (DM-OFDM-IM) in magnetic induction communication is proposed. The scheme utilizes DM-OFDM-IM, where subcarriers within each subblock are divided into two groups, each modulated by distinct signal constellations. DM-OFDM-IM leverages the sequential information from the modulated constellation to transmit extra information, leading to a substantial enhancement in spectral efficiency.

View Article and Find Full Text PDF

Transient chaos and periodic structures in a model of neuronal early afterdepolarization.

Chaos

January 2025

Departamento de Física, Universidade Federal de Santa Catarina, Florianópolis 88040-900, Santa Catarina, Brazil.

The presence of chaos is ubiquitous in mathematical models of neuroscience. In experimental neural systems, chaos was convincingly demonstrated in membranes, neurons, and small networks. However, its effects on the brain have long been debated.

View Article and Find Full Text PDF

Improving the flexible and deep peak shaving capability of supercritical (SC) unit under full operating conditions to adapt a larger-scale renewable energy integrated into the power grid is the main choice of novel power system. However, it is particularly challenging to establish an accurate SC unit model under large-scale variable loads and deep peak shaving. To this end, a data-driven modeling strategy combining Transformer-Extra Long (Transformer-XL) and quantum chaotic nutcracker optimization algorithm is proposed.

View Article and Find Full Text PDF

Want AI Summaries of new PubMed Abstracts delivered to your In-box?

Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!