TY - GEN
T1 - Synchronization of Ghostburster neurons using high order sliding mode control
AU - Han, Chun Xiao
AU - Wang, Jiang
AU - Che, Yanqiu
AU - Zhou, Si Si
PY - 2010
Y1 - 2010
N2 - In this paper, high order sliding mode control is proposed to realize the synchronization of two Ghostburster neurons under external electrical stimulation. Being a motion on a discontinuity set of a dynamic system, the sliding mode is used to keep accurately a given constraint and features theoretically-infinite-frequency switching. As the high order sliding mode technique employed in this paper, it considers a fractional power of the absolute value of the tracking error coupled with the sign function. This structure provides several advantages such as the simplification of the control law, higher accuracy and chattering prevention. Firstly we analyze the periodic and chaotic dynamics of individual Ghostburster neuron under different external electrical stimulus, then high order sliding mode controller is designed to synchronize two Ghostburster neurons and drive the slave neuron to act as the master one. Asymptotic synchronization of the system can be obtained by proper choice of the control parameters. Simulation results demonstrate the effectiveness of the proposed control method.
AB - In this paper, high order sliding mode control is proposed to realize the synchronization of two Ghostburster neurons under external electrical stimulation. Being a motion on a discontinuity set of a dynamic system, the sliding mode is used to keep accurately a given constraint and features theoretically-infinite-frequency switching. As the high order sliding mode technique employed in this paper, it considers a fractional power of the absolute value of the tracking error coupled with the sign function. This structure provides several advantages such as the simplification of the control law, higher accuracy and chattering prevention. Firstly we analyze the periodic and chaotic dynamics of individual Ghostburster neuron under different external electrical stimulus, then high order sliding mode controller is designed to synchronize two Ghostburster neurons and drive the slave neuron to act as the master one. Asymptotic synchronization of the system can be obtained by proper choice of the control parameters. Simulation results demonstrate the effectiveness of the proposed control method.
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U2 - 10.1109/CCDC.2010.5498358
DO - 10.1109/CCDC.2010.5498358
M3 - Conference contribution
AN - SCOPUS:77955347792
SN - 9781424451821
T3 - 2010 Chinese Control and Decision Conference, CCDC 2010
SP - 4371
EP - 4376
BT - 2010 Chinese Control and Decision Conference, CCDC 2010
T2 - 2010 Chinese Control and Decision Conference, CCDC 2010
Y2 - 26 May 2010 through 28 May 2010
ER -