复杂网络自适应柔性变结构外同步控制

Adaptive soft variable structure synchronization control for complex networks

中文关键词  复杂网络  同步  扰动观测器  抖振  自适应柔性变结构控制

英文关键词  complex networks  synchronization  disturbance observer  chattering  adaptive soft variable structure control

中文摘要

      本文研究具有外部时变干扰的两个复杂网络外同步问题. 为加强网络的抗干扰能力和保证外部扰动的精 确抑制, 提出了一种基于扰动观测器的自适应柔性变结构控制(DO-ASVSC)策略. 首先, 利用观测器将外部干扰等 效到输入控制端来实现对干扰的完全控制, 其适用于任意一个复杂网络含扰动, 也适用于同时具有扰动的两个网 络, 扩大了应用范围. 其次, 结合自适应控制思想, 改进动态柔性变结构控制策略, 根据李雅普诺夫稳定性理论和线 性不等式技术, 推导满足外同步条件的有关定理. 因所设计的鲁棒控制器不含符号函数, 减少了抖振现象, 避免了 因高频切换控制信号可能造成执行器的损坏现象. 最后, 通过数值算例, 验证了控制方案的有效性和优越性.

英文摘要

      This article studies the outer synchronization problem of two complex networks with external time-varying disturbances. To enhance the anti-interference ability of the network and ensure accurate suppression of external disturbances, a novel strategy called disturbance observer-based adaptive soft variable structure control (DO-ASVSC) is proposed. Firstly, a disturbance observer (DO) is designed to equate external interference from the input control channel. This approach is applicable to any complex network with disturbances and can also handle the case of two networks simultaneously affected by disturbances, thereby expanding its applicability. Secondly, by combining adaptive control ideas and improving the ASVSC strategy, relevant outer synchronization theorem conditions have been obtained based on Lyapunov stability theory and linear inequality techniques. Moreover, the designed robust controller without sign functions minimizes chattering effects and prevents potential damage to actuators caused by high-frequency switching control signals. Finally, the effectiveness and superiority of the proposed control scheme are verified through numerical examples.