IEEE Trans Neural Netw Learn Syst. 2023 May;34(5):2554-2568. doi: 10.1109/TNNLS.2021.3106947. Epub 2023 May 2.
In this article, the cluster synchronization control problem is studied for discrete-time complex dynamical networks when the data transmission is subject to constrained bit rate. A bit-rate model is presented to quantify the limited network bandwidth, and the effects from the constrained bit rate onto the control performance of the cluster synchronization are evaluated. A sufficient condition is first proposed to guarantee the ultimate boundedness of the error dynamics of the cluster synchronization, and then, a bit-rate condition is established to reveal the fundamental relationship between the bit rate and the certain performance index of the cluster synchronization. Subsequently, two optimization problems are formulated to design the desired synchronization controllers with aim to achieve two distinct synchronization performance indices. The codesign issue for the bit-rate allocation protocol and the controller gains is further discussed to reduce the conservatism by locally minimizing a certain asymptotic upper bound of the synchronization error dynamics. Finally, three illustrative simulation examples are utilized to validate the feasibility and effectiveness of the developed synchronization control scheme.
在本文中，研究了数据传输受到约束比特率限制时离散时间复杂动力网络的簇同步控制问题。提出了一种比特率模型来量化有限的网络带宽，并评估了约束比特率对簇同步控制性能的影响。首先提出了一个充分条件来保证簇同步误差动态的有界性，然后建立了一个比特率条件来揭示比特率与簇同步的特定性能指标之间的基本关系。随后，提出了两个优化问题来设计具有两个不同同步性能指标的期望同步控制器。进一步讨论了比特率分配协议和控制器增益的代码设计问题，通过局部最小化同步误差动态的某个渐近上界来减少保守性。最后，利用三个说明性仿真示例验证了所提出的同步控制方案的可行性和有效性。
