论文标题
在线反馈均衡寻求
Online Feedback Equilibrium Seeking
论文作者
论文摘要
本文提出了一个针对动态反馈控制器的统一设计框架，该框架跟踪了时变通用方程的解决方案轨迹，例如非线性程序的本地最小化或竞争性平衡（例如NASH）非合件游戏。受反馈优化范式的启发，提出的方法的核心思想是，通过整合连续非线性非线性植物的在线测量值来重新解决求解通用方程（例如Josephy-Newton，前进，前进的分裂）作为动态反馈控制器的经典迭代算法。算法 - 植物网络物理互连的闭环稳定性和鲁棒性的足够条件通过（单调）操作员，固定点和非线性系统理论结合和定制结果来得出采样的数据设置。提供了有关智能建筑自动化和竞争性供应链管理的数值模拟，以支持理论发现。
This paper proposes a unifying design framework for dynamic feedback controllers that track solution trajectories of time-varying generalized equations, such as local minimizers of nonlinear programs or competitive equilibria (e.g., Nash) of non-cooperative games. Inspired by the feedback optimization paradigm, the core idea of the proposed approach is to re-purpose classic iterative algorithms for solving generalized equations (e.g., Josephy--Newton, forward-backward splitting) as dynamic feedback controllers by integrating online measurements of the continuous-time nonlinear plant. Sufficient conditions for closed-loop stability and robustness of the algorithm-plant cyber-physical interconnection are derived in a sampled-data setting by combining and tailoring results from (monotone) operator, fixed-point, and nonlinear systems theory. Numerical simulations on smart building automation and competitive supply-chain management are presented to support the theoretical findings.
