Generalized passivity-based chaos synchronization

Abstract

In this paper, a new passivity-based synchronization method for a general class of chaotic systems is proposed. Based on the Lyapunov theory and the linear matrix inequality (LMI) approach, the passivity-based controller is presented to make the synchronization error system not only passive but also asymptotically stable. The proposed controller can be obtained by solving a convex optimization problem represented by the LMI. Simulation studies for the Genesio-Tesi chaotic system and the Qi chaotic system are presented to demonstrate the effectiveness of the proposed scheme.

Synchronization of Chaotic Systems via Active Disturbance Rejection Control

“…Based on the Lyapunov method and linear matrix inequality (LMI) method, the adaptive synchronization of the Genesio-Tesi chaotic systems with three uncertain parameters was achieved in [1]. A new passivity-based synchronization method for a general class of chaotic systems was proposed in [2]. A control method, which uses an exact robust differentiator combined with a quasi-continuous high-order sliding mode-controller, was used in [3].…”

Synchronization of fractional order Lorenz systems based on passive control

“…Recently, the concept of passivity has attracted new interest in chaos control and synchronization [18]. The references show that the passive controller has many advantages than other synchronization methods, including less control effort required, ease of implementation, and clear physical interpretation.…”

A Generalized Stability Theorem for Discrete Chaos Systems with Application in Avalanche Image Encryption

“…As a generalization, chaos generalized synchronization (CGS) means that the trajectories of two different systems trend to each other with respect to a transformation starting from different initial conditions in a specific domain. The study of generalized synchronization has also got extensive attention ( [5][6][7][8][9][10][11][12][13][14][15]). Chaos generalized synchronization may provide some new tools for cryptography and communications ( [16][17][18][19][20][21]).…”