Wang Yutong, Tan Wen, Cui Wenqing
School of Control & Computer Engineering, North China Electric Power University, Beijing 102206, China.
ISA Trans. 2021 Dec;118:83-93. doi: 10.1016/j.isatra.2021.02.011. Epub 2021 Feb 10.
Second-order plus dead-time systems are difficult to tune for a PID controller due to its special structure, especially the underdamped systems that have oscillatory responses. As a control technique with strong disturbance rejection ability, linear active disturbance rejection control is widely used as a substitute for PID controllers. This paper proposes a tuning formula for second-order linear active disturbance rejection control for underdamped second-order plus dead-time systems via internal model control. The formula is derived by minimizing the integral of time squared error index under certain robustness measure condition. Simulation results show that the linear active disturbance rejection controller tuned from the proposed formula can achieve satisfactory control performance for oscillatory systems.
由于二阶加纯滞后系统的特殊结构，特别是具有振荡响应的欠阻尼系统，很难为其PID控制器进行整定。作为一种具有强抗干扰能力的控制技术，线性自抗扰控制被广泛用作PID控制器的替代方案。本文通过内模控制，针对欠阻尼二阶加纯滞后系统，提出了一种二阶线性自抗扰控制的整定公式。该公式是在一定的鲁棒性度量条件下，通过最小化时间平方误差积分指标推导得出的。仿真结果表明，根据所提出的公式整定的线性自抗扰控制器能够对振荡系统实现令人满意的控制性能。
