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Controller design by symbolic regression

机译:控制器设计通过符号回归

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A novel method of empirical controller design is introduced with the potential to produce exotic controller forms. The controllers in this method are derived by symbolic regression (SR) to be in equation form, hence, they are legible in how the controller output is computed as a function of loop variables. Because SR is computationally costly due to its extensive search of controller space, requiring evaluation of millions, if not billions, of candidate controllers, the candidate controllers cannot be evaluated in closed-loop due to the high cost of simulation associated with such evaluation. This paper offers a recourse to this closed-loop evaluation by allowing evaluations to be performed algebraically. To this end, a method of inverse solution is introduced that estimates the plant input for a desired plant output. This estimated plant input is then used as the target output for candidate controllers that can be readily evaluated algebraically based on the available time series of loop variables associated with the desired plant output. Unlike traditional control design which relies on closed-loop performance metrics to provide controller performance guarantees, the proposed open-loop approach sacrifices such guarantees in favor of new controller forms that it may yield. Therefore, the fidelity, as controllers, of candidate controllers need to be verified post-design. For this purpose, the candidate controllers are first evaluated as controllers in closed-loop simulation. Once verified by simulation, they need to be validated for closed-loop stability, as demonstrated for one of the studied cases.
机译:引入了一种新颖的经验控制器设计方法,潜在地引入产生异国情调的控制器形式。该方法中的控制器由符号回归(SR)导出为等式形式,因此,它们在控制器输出如何作为循环变量的函数中计算的。由于SR由于其广泛的控制器空间搜索而被计算成本高昂,因此由于与这种评估相关的高成本,需要在候选控制器中评估数百万,如果不是数十亿的候选控制器,则不能在闭环中评估候选控制器。本文提供了通过允许代数执行的评估来求助于这种闭环评估。为此,引入了一种逆解决方案的方法,其估计所需植物输出的植物输入。然后将该估计的工厂输入用作候选控制器的目标输出,用于基于与所需工厂输出相关联的环路变量的可用时间序列来易于评估。与传统的控制设计不同,依赖于闭环性能指标以提供控制器性能保证,所提出的开环方法牺牲了这些保证,支持它可能会产生的新控制器形式。因此,需要验证候选控制器的保真度,作为控制器的候选控制器。为此目的,首先将候选控制器评估为闭环仿真中的控制器。一旦通过模拟验证,需要验证它们以进行闭环稳定性,如研究的一个案例所示。

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