Journal ArticleDOI
Sliding mode control of chaos in the cubic chua's circuit system
TLDR
The results show that the proposed controller can steer Chua’s circuit system to the desired state without the chattering phenomenon and abrupt state change.Abstract:
In this paper, a sliding mode controller is applied to control the cubic Chua’s circuit system. The sliding surface of this paper used is one dimension higher than the traditional surface and guarantees its passage through the initial states of the controlled system. Therefore, using the characteristic of this sliding mode we aim to design a controller that can meet the desired specication and use less control energy by comparing with the result in the current existing literature. The results show that the proposed controller can steer Chua’s circuit system to the desired state without the chattering phenomenon and abrupt state change.read more
Citations
More filters
Journal ArticleDOI
Analysis, synchronization and circuit design of a novel butterfly attractor
TL;DR: In this paper, a novel three-dimensional autonomous system, whose dynamics support periodic and chaotic butterfly attractors as certain parameters vary, is introduced, and adaptive control laws are derived to achieve global chaotic synchronization of the chaotic system with unknown parameters.
Journal ArticleDOI
Adaptive control for chaotic systems
Changchun Hua,Xinping Guan +1 more
TL;DR: In this paper, a simple adaptive controller is constructed, which can control chaotic systems to unstable fixed points, where the precise mathematical models of chaotic systems need not be known and only the fixed points and the dimensions of chaotic system are required to be known.
Journal ArticleDOI
A gallery of attractors from smooth chua's equation
TL;DR: This tutorial paper presents some interesting phenomena from Chua's equation with a cubic nonlinearity as well as that with a piecewise-linear characteristic, where a cubic polynomial approximates a nonlinear inequality.
Journal ArticleDOI
Robust synchronization of chaotic systems via adaptive sliding mode control
TL;DR: In this article, a sliding mode control technique was used to guarantee synchronization of the master and slave systems even when unknown parameters and external disturbances are present, where the structure of the slave system is simple and need not be identical to the master system.
Journal ArticleDOI
Chaos control and synchronization via a novel chatter free sliding mode control strategy
TL;DR: Simulation results indicate that this novel chatter free sliding mode control strategy is very effective to chaos control and synchronization.
References
More filters
Book
Applied Nonlinear Control
TL;DR: Covers in a progressive fashion a number of analysis tools and design techniques directly applicable to nonlinear control problems in high performance systems (in aerospace, robotics and automotive areas).
Book
Sliding Modes in Control and Optimization
TL;DR: The theory and practical application of Lyapunov's Theorem, a method for the Study of Non-linear High-Gain Systems, are studied.
Book
Sliding mode control : theory and applications
TL;DR: This text provides the reader with a grounding in sliding mode control and is appropriate for the graduate with a basic knowledge of classical control theory and some knowledge of state-space methods.
Journal ArticleDOI
Sliding controller design for non-linear systems
TL;DR: In this paper, a trade-off between tracking precision and robustness to modelling uncertainty is presented, where tracking accuracy is sot according to the extent, of parametric uncertainty and the frequency range of unmodelled dynamics.