No-chattering sliding mode control chaos in Hindmarsh-Rose neurons with uncertain parameters
Reads0
Chats0
TLDR
A no-chattering sliding mode control method for the Hindmarsh-Rose (HR) model with uncertain parameters and bounded external disturbances is proposed, and it can control the system to any point and any periodic orbit.Abstract:
A Hindmarsh-Rose (HR) model was constructed from voltage clamp data to provide a simple description of the patterned activity seen in molluscan neurons. Its complex dynamics characters are presented, including the phase trajectory, the Lyapunov exponents and the Poincare map. Furthermore, a no-chattering sliding mode control method for the Hindmarsh-Rose (HR) model with uncertain parameters and bounded external disturbances is proposed, and it can control the system to any point and any periodic orbit. Both the theoretical analysis and the simulation results are presented to confirm the validity of the control method.read more
Citations
More filters
Journal ArticleDOI
Complete synchronization of commensurate fractional order chaotic systems using sliding mode control
TL;DR: In this paper, a new fractional order chaotic system which exhibits interesting behavior such as two, three, and four scrolls was considered and a sliding mode control methodology was used to synchronize a unidirectional coupling structure for two chaotic systems.
Journal ArticleDOI
Chaotic synchronization and anti-synchronization for a novel class of multiple chaotic systems via a sliding mode control scheme
TL;DR: In this article, a new sliding mode control strategy was proposed for a class of chaotic systems with different structure and dimensions by using proportional integral surface and saturation function to simplify the task of assigning the performance of the closed-loop error system in sliding motion.
Journal ArticleDOI
Synchronization between integer-order chaotic systems and a class of fractional-order chaotic systems via sliding mode control.
TL;DR: A new sliding mode method is proposed to accomplish this end for different initial conditions and number of dimensions, and the vector controller is one-dimensional less than the system.
Journal ArticleDOI
Synchronization between integer-order chaotic systems and a class of fractional-order chaotic system based on fuzzy sliding mode control
TL;DR: A new fuzzy sliding mode method is proposed to accomplish this end for different initial conditions and number of dimensions using the stability theory of fractional-order systems.
Journal ArticleDOI
Adaptive terminal sliding mode control subject to input nonlinearity for synchronization of chaotic gyros
Chi-Ching Yang,Chung-Jen Ou +1 more
TL;DR: The proposed ATSM controller associated with time-varying feedback gains can tackle nonlinear dynamics according to the novel adaptive rules without known the magnitudes of bounded non linear dynamics, system uncertainties, and external disturbances.
References
More filters
Journal ArticleDOI
A model of neuronal bursting using three coupled first order differential equations.
J. L. Hindmarsh,R. M. Rose +1 more
TL;DR: The equations, which were initially developed to explain isolated triggered bursts, provide one of the simplest models of the more general phenomenon of oscillatory burst discharge.
Journal ArticleDOI
On analytical properties of delayed feedback control of chaos
TL;DR: In this article, two theorems on limitations in controlling chaos by delayed feedback control are proved, and the results are as follows: (1) if the linear variational equation about the target hyperbolic unstable periodic orbit (UPO) has an odd number of real characteristic multipliers which is greater than unity, the UPO can never be stabilized with any value of the feedback gain.
Journal ArticleDOI
Control of unstable steady states by time-delayed feedback methods.
Philipp Hövel,Eckehard Schöll +1 more
TL;DR: It is shown that time-delayed feedback methods, which have successfully been used to control unstable periodic orbits, provide a tool to stabilize unstable steady states.
Journal ArticleDOI
Characterizing pseudoperiodic time series through the complex network approach
TL;DR: This paper test an extensive range of network topology statistics, which have not been discussed in previous work, but which are capable of providing a comprehensive statistical characterization of the dynamics from different angles, and finds that the joint degree distribution appears to fundamentally characterize spatial organizations of cycles in phase space.