为了更好地解决对混沌系统的鲁棒容错控制和同步问题,针对一类具有信号衰减、网络退化、非线性耦合特性的混沌系统,提出了一种新的自适应滑模控制策略。以此为前提,提出一种用于混沌同步的积分滑动流形,进而设计了自适应律以估计控制增益,并利用更新后的控制增益和积分增益构造自适应滑模控制器。基于李雅普诺夫稳定性理论,证明了该控制器能保证带有故障和摄动耦合的混沌系统的渐近同步。通过仿真实验,验证了该方法的有效性和适用性,为混沌系统的鲁棒容错控制和同步问题的解决提供了新思路。
A novel adaptive sliding mode control strategy is proposed for a class of chaotic systems with the signal attenuation, network degradation, and nonlinear coupling characteristics, to solve the problem of robust fault-tolerant control and synchronization of chaotic systems. An integral sliding manifold for chaotic synchronization is presented, and an adaptive law is designed to estimate the control gain, and the updated control gain and integral gain are used to construct an adaptive sliding mode controller. Based on the Lyapunov stability theory, it is proved that the designed controller can ensure the asymptotic synchronization of chaotic systems with faults and perturbed couplings. The effectiveness and applicability of the proposed method are verified by the numerical simulation, which provides a new idea for the robust fault-tolerant control and synchronization of chaotic systems.
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