Model-based periodic event-triggered control for linear systems
Model-based periodic event-triggered control for linear systems
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DOI：
10.1016/j.automatica.2012.11.025
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发表时间：
2013-03-01
期刊：
影响因子：
6.4
通讯作者：
Donkers, M. C. F.
中科院分区：
文献类型：
--
作者：
Heemels, W. P. M. H.;Donkers, M. C. F.
周期事件触发控制（PETC）是一种结合了传统周期采样控制和事件触发控制思想的控制策略。通过仅在需要保证稳定性或性能特性时才传输周期性采样的传感器和控制器数据，PETC能够显著减少传输次数，同时仍保持令人满意的闭环行为。在本文中，我们将研究线性系统的基于触发器的控制器，并提出先进的事件触发机制（ETM），这将减少传感器到控制器通道和执行器到执行器通道的通信。通过利用基于模型的计算，新类别的ETM将优于文献中现有的ETM。为了建模和分析所提出的ETM类，我们提出了两个框架的扰动线性和分段线性系统的基础上，导致全局指数稳定性和l（2）-增益性能的闭环系统的线性矩阵不等式的条件。所提出的分析框架可用于在一方面的网络利用率和另一方面的l（2）增益方面的性能之间进行权衡。此外，我们将表明，闭环性能实现的基于双稳态的控制器，实现在一个传统的周期性的时间触发的方式，可以恢复任意密切的PETC实施。这为基于仿真的设计提供了合理性。除了集中式基于模型的ETM之外，我们还将提供适用于大型系统的分散式设置，其中传感器和执行器在物理上分布在广阔的区域内。所提出的基于模型的ETM实现的改进将使用数值例子来证明。(C)2012爱思唯尔有限公司保留所有权利。
Periodic event-triggered control (PETC) is a control strategy that combines ideas from conventional periodic sampled-data control and event-triggered control. By communicating periodically sampled sensor and controller data only when needed to guarantee stability or performance properties, PETC is capable of reducing the number of transmissions significantly, while still retaining a satisfactory closed-loop behavior. In this paper, we will study observer-based controllers for linear systems and propose advanced event-triggering mechanisms (ETMs) that will reduce communication in both the sensor-to-controller channels and the controller-to-actuator channels. By exploiting model-based computations, the new classes of ETMs will outperform existing ETMs in the literature. To model and analyze the proposed classes of ETMs, we present two frameworks based on perturbed linear and piecewise linear systems, leading to conditions for global exponential stability and l(2)-gain performance of the resulting closed-loop systems in terms of linear matrix inequalities. The proposed analysis frameworks can be used to make tradeoffs between the network utilization on the one hand and the performance in terms of l(2)-gains on the other. In addition, we will show that the closed-loop performance realized by an observer-based controller, implemented in a conventional periodic time-triggered fashion, can be recovered arbitrarily closely by a PETC implementation. This provides a justification for emulation-based design. Next to centralized model-based ETMs, we will also provide a decentralized setup suitable for large-scale systems, where sensors and actuators are physically distributed over a wide area. The improvements realized by the proposed model-based ETMs will be demonstrated using numerical examples. (C) 2012 Elsevier Ltd. All rights reserved.