论文标题

用于周期切换控制和灵活调度的基于能量的控制器的离散和稳定

Discretization and Stabilization of Energy-Based Controller for Period Switching Control and Flexible Scheduling

论文作者

Tafrishi, Seyed Amir, Dai, Xiaotian, Hirata, Yasuhisa, Burns, Alan

论文摘要

新兴的高级控制应用程序,软件的复杂性增加,但计算资源有限,这表明实时控制器应具有适应性的设计。这些控制策略还应考虑系统的运行时行为。这样的研究尝试之一是与任务调度程序一起设计控制器(称为控制安排的共同设计),以进行更可预测的时序行为以及幸存的系统过载。与具有相同距离采样周期的传统控制器设计不同,共同设计方法通过明确考虑定时属性(例如使用基于事件的控制器或多个采样时间(非均匀的采样和控制)来提高系统的灵活性和弹性。在这种情况下,我们介绍了基于能量控制器的离散化的第一项工作,该工作可以在多个周期之间任意切换并相应地调整控制参数而不会破坏系统的稳定。引入了基于此范围的DC电动机的数字控制器设计,以弹性负载为例,并根据所提出的Lyapunov函数给出稳定性条件。该方法通过各种基于计算机的模拟进行评估,以证明其有效性。

Emerging advanced control applications, with increased complexity in software but limited computing resources, suggest that real-time controllers should have adaptable designs. These control strategies also should be designed with consideration of the run-time behavior of the system. One of such research attempts is to design the controller along with the task scheduler, known as control-scheduling co-design, for more predictable timing behavior as well as surviving system overloads. Unlike traditional controller designs, which have equal-distance sampling periods, the co-design approach increases the system flexibility and resilience by explicitly considering timing properties, for example using an event-based controller or with multiple sampling times (non-uniform sampling and control). Within this context, we introduce the first work on the discretization of an energy-based controller that can switch arbitrarily between multiple periods and adjust the control parameters accordingly without destabilizing the system. A digital controller design based on this paradigm for a DC motor with an elastic load as an example is introduced and the stability condition is given based on the proposed Lyapunov function. The method is evaluated with various computer-based simulations which demonstrate its effectiveness.

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