TY - JOUR
T1 - Design and implementation of a microcontroller based active controller for the synchronization of the petrzela chaotic system
AU - Rivera-Blas, Raúl
AU - Paredes, Salvador Antonio Rodríguez
AU - Flores-Herrera, Luis Armando
AU - Romero, Ignacio Adrián
N1 - Publisher Copyright:
© 2019 by the authors. Licensee MDPI, Basel, Switzerland.
PY - 2019/9
Y1 - 2019/9
N2 - This paper presents an active control design for the synchronization of two identical Petrzela chaotic systems (Petrzela, J.; Gotthans, T. New chaotic dynamical system with a conic-shaped equilibrium located on the plane structure. Applied Sciences. 2017, 7, 976) on master-slave configuration. For the active control, the parameters of both systems are assumed to be a priori known, the control law by means of the dynamic of the error synchronization is designed to guarantee the convergence to zero of error states and the synchronization process is verified by numerical simulation. By taking advantage of the execution and implementation facilities of microcontroller based chaotic systems in digital devices, the active controller is implemented in a 32 bits ARM microcontroller. The experimental results were obtained by using the fourth order Runge-Kutta numerical method to integrate the differential equations of the controller, where the results were measured with a digital oscilloscope.
AB - This paper presents an active control design for the synchronization of two identical Petrzela chaotic systems (Petrzela, J.; Gotthans, T. New chaotic dynamical system with a conic-shaped equilibrium located on the plane structure. Applied Sciences. 2017, 7, 976) on master-slave configuration. For the active control, the parameters of both systems are assumed to be a priori known, the control law by means of the dynamic of the error synchronization is designed to guarantee the convergence to zero of error states and the synchronization process is verified by numerical simulation. By taking advantage of the execution and implementation facilities of microcontroller based chaotic systems in digital devices, the active controller is implemented in a 32 bits ARM microcontroller. The experimental results were obtained by using the fourth order Runge-Kutta numerical method to integrate the differential equations of the controller, where the results were measured with a digital oscilloscope.
KW - Active control
KW - Implementation microcontroller-based
KW - Petrzela chaotic system
KW - Synchronization of master-slave configuration
UR - http://www.scopus.com/inward/record.url?scp=85114119533&partnerID=8YFLogxK
U2 - 10.3390/COMPUTATION7030040
DO - 10.3390/COMPUTATION7030040
M3 - Artículo
AN - SCOPUS:85114119533
SN - 2079-3197
VL - 7
JO - Computation
JF - Computation
IS - 3
M1 - 40
ER -