论文标题
带宽受限的网络物理系统的延迟和稀疏控制器的共同设计
Co-Design of Delays and Sparse Controllers for Bandwidth-Constrained Cyber-Physical Systems
论文作者
论文摘要
我们解决了具有反馈延迟的网络物理系统最佳控制的问题。延迟分为两个类别 - 即层内延迟和网络和物理层之间的层间延迟。我们的目标是通过设计这两个延迟的最佳组合以及稀疏的状态反馈控制器，同时尊重给定的带宽约束，从而最大程度地降低闭环系统的H2-NORM。我们为此提出了一种两环优化算法。内部循环基于乘数的交替方向方法（ADMM）处理减少H2-norm和增加控制器稀疏性的相互冲突的方向。外环由半限定程序（SDP）组成，基于基于稳定的延迟与控制器延迟所必需的非凸vex不平等的放松。我们使用模拟来说明该算法，这些算法突出了延迟和稀疏如何影响稳定性的各个方面，而$ \ mc {h} _2 $ lti系统的性能。
We address the problem of sparsity-promoting optimal control of cyber-physical systems with feedback delays. The delays are categorized into two classes - namely, intra-layer delay, and inter-layer delay between the cyber and the physical layers. Our objective is to minimize the H2-norm of the closed-loop system by designing an optimal combination of these two delays along with a sparse state-feedback controller, while respecting a given bandwidth constraint. We propose a two-loop optimization algorithm for this. The inner loop, based on alternating directions method of multipliers (ADMM), handles the conflicting directions of decreasing H2-norm and increasing sparsity of the controller. The outer loop comprises of semidefinite program (SDP)-based relaxations of non-convex inequalities necessary for stable co-design of the delays with the controller. We illustrate this algorithm using simulations that highlight various aspects of how delays and sparsity impact the stability and $\mc{H}_2$ performance of a LTI system.
