Key Laboratory of Intelligent Control and Optimization for Industrial Equipment of Ministry of Education, Dalian University of Technology, Dalian, 116024, China; Institute of Advanced Control Technology, Dalian University of Technology, Dalian, 116024, China.
College of Information Science and Technology, Beijing University of Chemical Technology, Beijing 100029, China.
ISA Trans. 2023 Jun;137:519-530. doi: 10.1016/j.isatra.2023.01.001. Epub 2023 Jan 3.
To tackle the asymmetric input constraint typically involved with industrial temperature control systems, e.g., there is a tuning range from 0 to 100% in the heating power, an anti-windup active disturbance rejection control (ADRC) is proposed for the practical application, in particular for dealing with output delay. Based on an artificial symmetric transformation for the asymmetric input constraint along with a delay-free output prediction, an anti-windup extended state observer (AESO) is firstly constructed to simultaneously estimate the delay-free system state and external disturbance for control design. When the input saturation constraint occurs, the proposed AESO could also offer anti-windup compensation. Then, a feedback controller is analytically derived by assigning repetitive-type poles for the characteristic equation of the closed-loop structure, followed by a set-point prefilter design to ensure no overshoot and output tracking deviation. Tractable linear matrix inequality based conditions are rigorously established to guarantee the asymptotic stability of the resulting closed-loop system under a specified initial condition. A benchmark example from a recent reference is used to verify the superiority of the proposed control method over some existing anti-windup control designs. Moreover, a real application to the temperature control of a jacketed crystallizer is shown in comparison with a recently developed control method with no anti-windup compensation.
为了解决工业温度控制系统中常见的非对称输入约束问题，例如，加热功率的调节范围为 0 到 100%，提出了一种用于实际应用的抗积分饱和主动干扰抑制控制（ADRC）方法，特别是针对输出延迟问题。基于非对称输入约束的人工对称变换和无延迟输出预测，首先构建了一种抗积分饱和扩展状态观测器（AESO），用于同时估计无延迟系统状态和外部干扰，以进行控制设计。当输入饱和约束发生时，所提出的 AESO 还可以提供抗积分饱和补偿。然后，通过为闭环结构的特征方程分配重复型极点，解析推导出反馈控制器，随后进行设定值预滤波器设计，以确保无超调量和输出跟踪偏差。基于严格的线性矩阵不等式条件，保证了在指定初始条件下，所得到的闭环系统的渐近稳定性。通过使用最近参考文献中的一个基准示例，验证了所提出的控制方法相对于一些现有抗积分饱和控制设计的优越性。此外，与最近开发的无抗积分饱和补偿的控制方法进行比较，还展示了在夹套结晶器温度控制中的实际应用。
