arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1502.03181eess.SYcs.SYmath.OC
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多环自触发模型预测控制用于网络调度与控制

Multiple Loop Self-Triggered Model Predictive Control for Network Scheduling and Control

ACCESS Linnaeus Centre, School of Electrical Engineering, Royal Institute of Technology(ACCESS林奈中心,电气工程学院,皇家理工学院);The University of Newcastle(纽卡斯尔大学)

Erik Henriksson, Daniel E. Quevedo, Edwin G. W. Peters, Henrik Sandberg, Karl Henrik Johansson

AI总结:

本文提出一种基于自适应采样间隔的多线性时不变过程网络调度与控制算法,通过模型预测控制思想实现自适应采样,确保系统稳定性和网络冲突自由。

摘要:

本文提出了一种用于控制和调度多个线性时不变过程的算法,该算法利用自适应采样间隔在共享带宽受限的通信网络上进行控制和调度。控制器是集中式的,在每个采样瞬间不仅计算过程的新控制命令,还决定下次采样前的等待时间间隔。该方法基于模型预测控制思想,其中成本函数惩罚状态和控制努力以及下次采样前的时间间隔。后者用于生成整体系统的自适应采样方案,使得采样时间随着系统状态范数趋于零而增加。本文提出了一种合成此类预测控制器的方法,并给出了使其稳定的充分条件。进一步给出了保证网络冲突自由的显式条件。证明了优化问题可以离线求解,控制器可以实现为状态反馈增益的查找表。比较所提算法与周期采样的仿真研究展示了潜在的性能改进。

英文摘要:

We present an algorithm for controlling and scheduling multiple linear time-invariant processes on a shared bandwidth limited communication network using adaptive sampling intervals. The controller is centralized and computes at every sampling instant not only the new control command for a process, but also decides the time interval to wait until taking the next sample. The approach relies on model predictive control ideas, where the cost function penalizes the state and control effort as well as the time interval until the next sample is taken. The latter is introduced in order to generate an adaptive sampling scheme for the overall system such that the sampling time increases as the norm of the system state goes to zero. The paper presents a method for synthesizing such a predictive controller and gives explicit sufficient conditions for when it is stabilizing. Further explicit conditions are given which guarantee conflict free transmissions on the network. It is shown that the optimization problem may be solved off-line and that the controller can be implemented as a lookup table of state feedback gains. Simulation studies which compare the proposed algorithm to periodic sampling illustrate potential performance gains.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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