Abstract It is well known that nuclear energy is a clean, safe, and reliable energy resource. Nuclear power plant is one of the prominent applications of nuclear energy. In this paper, aiming at improving the control performance for power level of nuclear power plant, an extended state observer-based adaptive dynamic sliding mode control (ESO-ADSMC) scheme is proposed. The mathematical model of nuclear reactor is firstly constructed based on point-reactor kinetics equations. Then, an extended state observer is designed to estimate both unmeasured states and output disturbances in real time, and the asymptotic convergence of the observer error state space is analyzed according to Routh-Hurwitz and Lyapunov stability theory. Subsequently, an adaptive dynamic sliding mode control approach is proposed for power level control of nuclear power plants in the presence of output disturbances, which is a combination of sliding mode control and backstepping control to enhance disturbance rejection ability. In addition, the chattering phenomenon is eliminated due to the discontinuous sign function contained in the first derivative of actual control input. Finally, simulation studies are carried out to demonstrate the feasibility and effectiveness of the proposed control strategy compared with backstepping control method in terms of the accuracy and rapidity of the response of power level, and robustness against output disturbances.

中文翻译：

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基于扩展状态观测器的核电站功率水平自适应动态滑模控制

摘要 众所周知，核能是一种清洁、安全、可靠的能源。核电站是核能的突出应用之一。本文针对提高核电站功率水平的控制性能，提出了一种基于扩展状态观测器的自适应动态滑模控制（ESO-ADSMC）方案。核反应堆的数学模型首先是基于点反应堆动力学方程构建的。然后，设计了一个扩展状态观测器来实时估计未测量状态和输出扰动，并根据 Routh-Hurwitz 和 Lyapunov 稳定性理论分析观测器误差状态空间的渐近收敛性。随后，针对存在输出扰动的核电站功率水平控制，提出了一种自适应动态滑模控制方法，该方法将滑模控制和反步控制相结合，以增强抗扰能力。此外，由于实际控制输入的一阶导数中包含不连续的符号函数，因此消除了颤振现象。最后，通过仿真研究证明了所提出的控制策略与反步控制方法相比，在功率电平响应的准确性和快速性以及对输出扰动的鲁棒性方面的可行性和有效性。由于实际控制输入的一阶导数中包含不连续的符号函数，从而消除了颤振现象。最后，通过仿真研究证明了所提出的控制策略与反步控制方法相比，在功率电平响应的准确性和快速性以及对输出扰动的鲁棒性方面的可行性和有效性。由于实际控制输入的一阶导数中包含不连续的符号函数，从而消除了颤振现象。最后，通过仿真研究证明了所提出的控制策略与反步控制方法相比，在功率电平响应的准确性和快速性以及对输出扰动的鲁棒性方面的可行性和有效性。