Extended State-Dependent Differential Riccati Equation (ESDDRE) Controller Design for a Chemical Plug-Flow Reactor via Time-Delay Partial Differential Equation

IF 1.5 4区 工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC
Fariba Bouzari Liavoli, Ahmad Fakharian, Hamid Khaloozadeh
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Abstract

Numerous processes in chemical and biological engineering make use of tubular reactors. A particular kind of tubular reactor was known as a chemical plug-flow reactor (PFR) when there is no diffusion term. This paper offers a nonlinear controller for a non-isothermal PFR governed by time-delay first-order partial differential equation (PDE). Due to, an Extended state-dependent differential Riccati equation (ESDDRE) of the PFR system, a sub-optimal nonlinear controller is suggested. At the first step, an Extended pseudo-linearization (EPL) presentation of the PFR with State-dependent coefficients (SDC) is designed. All of the time-delay terms in this representation are situated in the input vectors as well as the system matrices. Then, a control signal regard on the ESDDRE controller is generated by introducing a Hamiltonian equation and performance index according to the PDE systems. Moreover, the asymptotic stability regarded on ESDDRE controller is guaranteed by applying a suitable Lyapunov theory. Simulation results verify the efficiency of the recommended ESDDRE controller method for two EPL form presentations with different time delays.

Abstract Image

通过时延偏微分方程设计化学塞流反应器的扩展状态相关微分里卡提方程 (ESDDRE) 控制器
化学和生物工程中的许多过程都要用到管式反应器。在没有扩散项的情况下,一种特殊的管式反应器被称为化学塞流反应器(PFR)。本文为非等温 PFR 提供了一种非线性控制器,该控制器受时延一阶偏微分方程(PDE)控制。由于 PFR 系统的扩展状态相关微分里卡提方程(ESDDRE),本文提出了一个次优非线性控制器。第一步,设计了具有状态相关系数(SDC)的 PFR 扩展伪线性化(EPL)表述。该表示法中的所有时间延迟项都位于输入向量和系统矩阵中。然后,根据 PDE 系统引入哈密顿方程和性能指标,生成 ESDDRE 控制器的控制信号。此外,通过应用合适的 Lyapunov 理论,保证了 ESDDRE 控制器的渐进稳定性。仿真结果验证了所推荐的 ESDDRE 控制器方法对两种具有不同时间延迟的 EPL 形式演示的有效性。
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来源期刊
CiteScore
5.50
自引率
4.20%
发文量
93
审稿时长
>12 weeks
期刊介绍: Transactions of Electrical Engineering is to foster the growth of scientific research in all branches of electrical engineering and its related grounds and to provide a medium by means of which the fruits of these researches may be brought to the attentionof the world’s scientific communities. The journal has the focus on the frontier topics in the theoretical, mathematical, numerical, experimental and scientific developments in electrical engineering as well as applications of established techniques to new domains in various electical engineering disciplines such as: Bio electric, Bio mechanics, Bio instrument, Microwaves, Wave Propagation, Communication Theory, Channel Estimation, radar & sonar system, Signal Processing, image processing, Artificial Neural Networks, Data Mining and Machine Learning, Fuzzy Logic and Systems, Fuzzy Control, Optimal & Robust ControlNavigation & Estimation Theory, Power Electronics & Drives, Power Generation & Management The editors will welcome papers from all professors and researchers from universities, research centers, organizations, companies and industries from all over the world in the hope that this will advance the scientific standards of the journal and provide a channel of communication between Iranian Scholars and their colleague in other parts of the world.
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