Passivity based control and synchronization of perturbed uncertain chaotic systems and their microcontroller implementation

This article considers the passivity control of chaotic systems under the presence of uncertainties and perturbations. Passivity-based controllers are applied that can achieve stabilization at any equilibrium point of the system, or synchronization. The control laws that are introduced consist of two parts. The first part is implemented to achieve the necessary conditions for the application of the passivity method, and the second makes the system settle at its equilibrium points in the control case, or to achieve synchronization in the second case. Furthermore, numerical, as well as microcontroller implementations, by using Arduino, are performed to illustrate the effectiveness and practicality of the proposed method.