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Direct data-driven control of constrained linear parameter-varying systems: A hierarchical approach

机译:受约束线性参数变化的直接数据驱动控制   系统:分层方法

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摘要

In many nonlinear control problems, the plant can be accurately described bya linear model whose operating point depends on some measurable variables,called scheduling signals. When such a linear parameter-varying (LPV) model ofthe open-loop plant needs to be derived from a set of data, several issuesarise in terms of parameterization, estimation, and validation of the modelbefore designing the controller. Moreover, the way modeling errors affect theclosed-loop performance is still largely unknown in the LPV context. In thispaper, a direct data-driven control method is proposed to design LPVcontrollers directly from data without deriving a model of the plant. The mainidea of the approach is to use a hierarchical control architecture, where theinner controller is designed to match a simple and a-priori specifiedclosed-loop behavior. Then, an outer model predictive controller is synthesizedto handle input/output constraints and to enhance the performance of the innerloop. The effectiveness of the approach is illustrated by means of a simulationand an experimental example. Practical implementation issues are alsodiscussed.
机译:在许多非线性控制问题中,可以通过一个线性模型来准确描述工厂,该模型的工作点取决于一些可测量的变量,即调度信号。当需要从一组数据中得出开环工厂的这种线性参数变化(LPV)模型时,在设计控制器之前,在模型的参数化,估计和验证方面存在一些问题。而且,在LPV上下文中,建模错误影响闭环性能的方式仍然未知。在本文中,提出了一种直接的数据驱动控制方法,可以直接从数据中设计LPV控制器,而无需导出工厂模型。该方法的主要思想是使用分层控制体系结构,其中内部控制器被设计为匹配简单且先验的指定闭环行为。然后,外部模型预测控制器被合成以处理输入/输出约束并增强内环的性能。通过仿真和实验实例说明了该方法的有效性。还讨论了实际的实施问题。

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