Finite-Time Pinning Synchronization Control for T-S Fuzzy Discrete Complex Networks with Time-Varying Delays via Adaptive Event-Triggered Approach.
Finite-Time Pinning Synchronization Control for T-S Fuzzy Discrete Complex Networks with Time-Varying Delays via Adaptive Event-Triggered Approach.
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基于自适应事件触发方法的时变延迟 T-S 模糊离散复杂网络的有限时间钉扎同步控制
DOI：
10.3390/e24050733
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发表时间：
2022-05-21
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研究了具有时变时滞的T-S模糊离散复杂网络的自适应事件触发有限时间钉扎同步控制问题。为了准确描述离散网络的动力学行为，本文利用T-S模糊规则建立了离散复杂网络的一般模型，推广了已有的连续时间模型。基于自适应阈值和测量误差，离散自适应事件触发方法（AETA）被引入到管理信号的传输。为了提高资源利用率和降低更新频率，设计了一种基于事件的模糊牵制反馈控制策略，对网络中的一小部分节点进行控制。利用新的Lyapunov-Krasovskii泛函和有限时间分析方法，给出了闭环误差系统有限时间有界稳定的充分判据.在一个优化条件和线性矩阵不等式（LMI）约束下，得到了关于最小有限时间的期望控制器参数。最后，通过数值算例验证了所得理论结果的有效性.对于相同的系统，AETA的平均触发率明显低于现有的事件触发机制，同步误差的收敛速度也优于其他控制策略的上级。
This paper is concerned with the adaptive event-triggered finite-time pinning synchronization control problem for T-S fuzzy discrete complex networks (TSFDCNs) with time-varying delays. In order to accurately describe discrete dynamical behaviors, we build a general model of discrete complex networks via T-S fuzzy rules, which extends a continuous-time model in existing results. Based on an adaptive threshold and measurement errors, a discrete adaptive event-triggered approach (AETA) is introduced to govern signal transmission. With the hope of improving the resource utilization and reducing the update frequency, an event-based fuzzy pinning feedback control strategy is designed to control a small fraction of network nodes. Furthermore, by new Lyapunov–Krasovskii functionals and the finite-time analysis method, sufficient criteria are provided to guarantee the finite-time bounded stability of the closed-loop error system. Under an optimization condition and linear matrix inequality (LMI) constraints, the desired controller parameters with respect to minimum finite time are derived. Finally, several numerical examples are conducted to show the effectiveness of obtained theoretical results. For the same system, the average triggering rate of AETA is significantly lower than existing event-triggered mechanisms and the convergence rate of synchronization errors is also superior to other control strategies.
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DOI：
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发表时间：
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期刊：
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影响因子：
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