基于多项式模型的混沌系统平方和算法脉冲控制

杨珺; 孙秋野; 杨东升

东北大学信息科学与工程学院,沈阳,110819

Sum-of-square-based impulsive control for chaotic system based on polynomial model

摘要: 针对一大类混沌系统，提出一种新颖的基于多项式模型的脉冲控制方法．首先，建立系统的多项式模型．其状态方程由系统状态的多项式矩阵与其单项式组成列向量构成．与其他建模方法相比，该方法不必使用任何预制的假设．其次，提出基于平方和优化算法的脉冲控制方法，使得混沌系统的状态能够实现渐近稳定．基于该算法的脉冲控制与基于线性矩阵不等式凸优化算法的结果相比，能得到更大的脉冲间距，从而可以使用较少的控制能量实现同样的控制效果．最后，仿真实验结果验证了本方法的有效性．

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Abstract: In this paper, we present a novel impulsive control method based on polynomial model for a large class of chaotic systems. First, the polynomial model is used to model the chaotic system, in which the state equation of the system is composed of the polynomial matrix of the system and the column vector of monomials in state. Compared with others modeling methods, any pre-defined hypothesis is removed. Next, a sum-of-square (SOS)-based impulsive control method is investigated to guarantee that the chaotic system is asymptotically stable. It can obtain larger impulsive interval using SOS-based optimization algorithm over linear matrix inequality technique, which means the same control performance can be realized by less control action. Finally, the simulation is provided to demonstrate the effectiveness of the proposed method.

基于多项式模型的混沌系统平方和算法脉冲控制

东北大学信息科学与工程学院,沈阳,110819

关键词:

Sum-of-square-based impulsive control for chaotic system based on polynomial model

东北大学信息科学与工程学院,沈阳,110819

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