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Price-Based Adaptive Scheduling in Multi-Loop Control Systems With Resource Constraints

机译:具有资源约束的多回路控制系统中基于价格的自适应调度

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摘要

Under many circumstances event-triggered scheduling outperforms time-triggered schemes for control applications when resources such as communication, computation, or energy are sparse. This paper investigates another benefit of event-triggered control concerning the ability of adaptation that enables the implementation of distributed scheduling mechanisms. The system under consideration comprises multiple heterogeneous control systems that share a common resource for accomplishing their control tasks. Each subsystem is modeled as a discrete-time stochastic linear system. The design problem is formulated as an average cost Markov decision process (MDP) problem with unknown global system parameters that are to be estimated during execution. Techniques from distributed optimization and adaptive MDPs are used to develop distributed self-regulating event-triggers that adapt their request rate to accommodate a global resource constraint. Stability and convergence issues are addressed by using methods from stochastic stability for Markov chains and stochastic approximation. Numerical simulations show the effectiveness of the approach and illustrate the convergence properties.
机译:在许多情况下,当通信,计算或能源等资源稀疏时,事件触发的调度优于控制应用的时间触发方案。本文研究了事件触发控制的另一个好处,即与适应能力相关的能力,可以实现分布式调度机制。所考虑的系统包括多个异构控制系统,它们共享一个公共资源来完成其控制任务。每个子系统均建模为离散时间随机线性系统。设计问题被表述为具有未知全局系统参数的平均成本马尔可夫决策过程(MDP)问题,该全局系统参数将在执行期间进行估算。来自分布式优化和自适应MDP的技术用于开发分布式自调节事件触发器,以适应其请求速率以适应全局资源约束。通过使用马尔可夫链的随机稳定性和随机逼近的方法来解决稳定性和收敛性问题。数值仿真表明了该方法的有效性并说明了收敛性。

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