The state and error-feedback regulator problems for a boundary control catalytic cracking process

IF 2.5 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS European Journal of Control Pub Date : 2024-07-11 DOI:10.1016/j.ejcon.2024.101086

Ilyasse Aksikas

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Abstract

This research work is devoted to boundary control of a catalytic cracking reactor using state and error feedback regulators. The process mathematical model is governed by a set of partial differential equations (PDEs), for which infinite-dimensional representation and spectral properties of the system generator are employed to solve the regulation problems. The primary objective is to track a desired output reference trajectory in the presence of disturbances that are generated by a distributed parameter exosystem. Initially, a state feedback stabilizing regulator is designed to drive the process output towards the reference trajectory. The second objective is to develop a dynamic controller that employs the tracking error as input. The closed-loop plant is shown to be exponentially stable and the tracking error asymptotically approaches zero. The performances of the designed regulators are shown through numerical simulations.

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边界控制催化裂化过程的状态和误差反馈调节器问题

这项研究致力于利用状态和误差反馈调节器对催化裂化反应器进行边界控制。过程数学模型由一组偏微分方程 (PDE) 控制，利用系统发生器的无穷维表示和频谱特性来解决调节问题。主要目标是在分布式参数外系统产生干扰的情况下，跟踪所需的输出参考轨迹。最初，设计了一个状态反馈稳定调节器，以驱动过程输出趋向参考轨迹。第二个目标是开发一个将跟踪误差作为输入的动态控制器。结果表明，闭环工厂是指数稳定的，跟踪误差逐渐趋近于零。所设计的调节器的性能通过数值模拟得以展示。

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来源期刊

European Journal of Control 工程技术-自动化与控制系统

CiteScore

5.80

自引率

5.90%

发文量

131

审稿时长

1 months

期刊介绍： The European Control Association (EUCA) has among its objectives to promote the development of the discipline. Apart from the European Control Conferences, the European Journal of Control is the Association''s main channel for the dissemination of important contributions in the field. The aim of the Journal is to publish high quality papers on the theory and practice of control and systems engineering. The scope of the Journal will be wide and cover all aspects of the discipline including methodologies, techniques and applications. Research in control and systems engineering is necessary to develop new concepts and tools which enhance our understanding and improve our ability to design and implement high performance control systems. Submitted papers should stress the practical motivations and relevance of their results. The design and implementation of a successful control system requires the use of a range of techniques: Modelling Robustness Analysis Identification Optimization Control Law Design Numerical analysis Fault Detection, and so on.

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