Control of multi-scroll Chen system
Control of multi-scroll Chen system
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DOI：
10.1016/j.jfranklin.2014.01.015
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发表时间：
2014-05
期刊：
影响因子：
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通讯作者：
Souhila Hadef;A. Boukabou
中科院分区：
文献类型：
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作者：
Souhila Hadef;A. Boukabou
研究了一个新的多涡卷混沌系统的混沌控制问题。研究了两种非线性控制方法，即高阶控制和预测控制。所提出的方法提供了从状态方程稳定不稳定周期轨道和不稳定平衡点的可能性。为此，我们应用高阶控制方法稳定所需的不稳定周期轨道，而预测控制方法适用于稳定问题的不稳定平衡点。特别是，这些方法是有效的，易于实现，因为我们只需要施加小扰动的系统动力学。以多涡卷Chen系统为例，说明了这些方法的工作原理。数值仿真结果表明，所提出的控制方法的潜在工程应用的各种多涡卷混沌的实际应用。
This paper investigates the chaos control problem of a new multi-scroll chaotic system. Two nonlinear control methods are studied, namely high-order and predictive types of control. The proposed methodologies offer the possibility of stabilizing unstable periodic orbits and unstable equilibrium points from the state equations. For this purpose, we apply the high-order control method for stabilizing a desired unstable periodic orbit, while the predictive control method is applied for stabilization problem of unstable equilibrium points. In particular, these approaches are effective and easy to be implemented since we only need to apply small perturbations to the system dynamics. The multi-scroll Chen system is used as representative example to show the working principle of these methods. Numerical simulation results indicate the potential engineering applications of the proposed control methods for various multi-scroll chaos-based practical applications.