Abstract The multiple–input multiple–output (MIMO) output feedback (OF) control problem of an exothermic multi-jacket tubular open-loop unstable reactor is addressed. Over its axial length, the reactor has several equally sized cooling jackets. The controller must adjust the jacket temperatures on the basis of per jacket temperature measurements so that the closed-loop system is robustly stable. The problem is solved within a constructive framework, by combining notions and tools from chemical reactor engineering and partial differential equations (PDEs) control systems theory. The result is a MIMO nonlinear OF dynamic control design with (i) a decentralized MIMO passive state feedback (SF) controller implemented with a pointwise observer (PWO), (ii) closed-loop stability conditions in terms of sensor set and control gains, and (iii) efficient late lumping-based on-line implementation. The design is put in perspective with industrial PI and inventory control, and applied to a representative example through numerical simulation with favorable comparison against adaptive controllers.

中文翻译：

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通过非线性无源输出反馈控制稳定不稳定管式反应器

摘要 解决了放热多夹套管状开环不稳定反应器的多输入多输出 (MIMO) 输出反馈 (OF) 控制问题。在其轴向长度上，反应器有几个大小相同的冷却夹套。控制器必须根据每个夹套温度测量值调整夹套温度，以便闭环系统稳健稳定。通过结合化学反应器工程和偏微分方程 (PDE) 控制系统理论的概念和工具，该问题在建设性框架内得到解决。结果是 MIMO 非线性 OF 动态控制设计，具有 (i) 分散式 MIMO 无源状态反馈 (SF) 控制器，采用逐点观测器 (PWO)，(ii) 传感器组和控制增益方面的闭环稳定性条件，(iii) 高效的基于后期集总的在线实施。该设计考虑了工业 PI 和库存控制，并通过数值模拟应用于具有代表性的示例，与自适应控制器进行了有利的比较。