arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1811.12759math.OCcs.SYeess.SY
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鲁棒模型预测控制的分散事件基方法

A Decentralized Event-Based Approach for Robust Model Predictive Control

Arman Sharifi Kolarijani, Sander Bregman, Peyman Mohajerin Esfahani, Tamas Keviczky

摘要:

在本文中,我们提出了一个基于事件的采样策略,实现约束收紧,强大的MPC方法。所提出的政策享有计算上易于处理的设计,并适用于扰动,线性定常系统多面体约束。特别地,触发机制适用于没有集中式感觉节点的植物,因为触发机制可以在每个单独的传感器处进行局部评估。从几何的角度来看,该机制是一系列超矩形包围的最优状态轨迹,使鲁棒递归的可行性和鲁棒稳定性得到保证。将触发机构的设计转化为一个以集合体积为目标函数的约束参数集最优化问题。重新参数化的设置顶点,我们表明,这个问题承认一个有限的听话的凸规划重新和线性规划松弛。数值算例表明了理论结果的有效性和局限性。

英文摘要:

In this paper, we propose an event-based sampling policy to implement a constraint-tightening, robust MPC method. The proposed policy enjoys a computationally tractable design and is applicable to perturbed, linear time-invariant systems with polytopic constraints. In particular, the triggering mechanism is suitable for plants with no centralized sensory node as the triggering mechanism can be evaluated locally at each individual sensor. From a geometrical viewpoint, the mechanism is a sequence of hyper-rectangles surrounding the optimal state trajectory such that robust recursive feasibility and robust stability are guaranteed. The design of the triggering mechanism is cast as a constrained parametric-in-set optimization problem with the volume of the set as the objective function. Re-parameterized in terms of the set vertices, we show that the problem admits a finite tractable convex program reformulation and a linear program relaxation. Several numerical examples are presented to demonstrate the effectiveness and limitations of the theoretical results.

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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