带有控制输入扰动和死区的混沌系统自适应模糊控制

物理学报

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李宁, 刘恒, 向伟. 2012: 带有控制输入扰动和死区的混沌系统自适应模糊控制, 物理学报, 61(23): 95-102.

引用本文:

李宁, 刘恒, 向伟. 2012: 带有控制输入扰动和死区的混沌系统自适应模糊控制, 物理学报, 61(23): 95-102.

2012: Fuzzy adaptive tracking control of uncertain chaotic system with input perturbance and nonlinearity, Acta Physica Sinica, 61(23): 95-102.

Citation:

2012: Fuzzy adaptive tracking control of uncertain chaotic system with input perturbance and nonlinearity, Acta Physica Sinica, 61(23): 95-102.

Fuzzy adaptive tracking control of uncertain chaotic system with input perturbance and nonlinearity

摘要: 针对带有非线性输入和控制增益矩阵扰动的未知时变时滞混沌系统，提出了一种自适应模糊变结构控制方法．设计的控制器可以保证跟踪误差收敛到原点的可调邻域内，并且闭环系统所有信号有界．该方法对系统扰动的变化能保持较好的鲁棒性．最后以多卷波混沌系统为例的仿真实验进一步验证了该方法的有效性．
- 模糊控制 /
- 多卷波混沌系统 /
- 非线性控制输入 /
- 时变时滞
Abstract: In this paper, we investigate the signal tracking problem of the uncertain time-varying delay chaotic system with control input nonlinearity and the fuzzy adaptive variable structure control method is proposed. The fuzzy logic system approximates the nonlinearity of the system. The unknown time-varying delay uncertainties are compensated using an appropriate Lyapunov-Krasovskii functional, The proposed controller can make the tracking errors converge to an adjustable region and all signals of the closed system is bounded. The designed control method can have a certain robustness against the disturbance of the system. Finally, taking the simulations on a multi-scroll chaotic system for example, the effectiveness of the proposed method is illustrated.