Temperature field control is crucial for the comprehensive performance of Ni-Co-Mn layered cathode material that is the most important part of lithium-ion batteries. Starting from the aspect of a class of distributed parameter systems described by highly dissipative partial differential equations (PDEs), an event-triggered optimal control (ETOC) method based on adaptive dynamic programming (ADP) for the roller kiln temperature field is proposed. First, we formulate the event-triggered control problem of the temperature field under the general framework of PDE systems. Then, an event-triggered condition is designed based on the stability of the closed-loop PDE system, which also guarantees the upper bound of the performance index. Subsequently, ADP technology is adopted to realize the ETOC, where the critic network is employed to approximate the optimal value function. Since the studied system can be regarded as an impulsive dynamic system with flow dynamics and jump dynamics simultaneously, the stability of the impulsive dynamic system combined with the ADP-based closed-loop PDE system is proved. Finally, simulation results on the temperature field verify the effectiveness of the proposed method.

中文翻译：

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基于自适应动态规划的辊道窑温度场事件触发优化控制


温度场控制对于镍钴锰层状正极材料的综合性能至关重要，镍钴锰层状正极材料是锂离子电池最重要的组成部分。从一类高耗散偏微分方程(PDE)描述的分布参数系统出发，提出了一种基于自适应动态规划(ADP)的辊道窑温度场事件触发最优控制(ETOC)方法。首先，我们在偏微分方程系统的总体框架下制定了事件触发的温度场控制问题。然后，基于闭环偏微分方程系统的稳定性设计了事件触发条件，这也保证了性能指标的上限。随后，采用ADP技术来实现ETOC，其中利用批评网络来逼近最优值函数。由于所研究的系统可以看作是同时具有流动动力学和跳跃动力学的脉冲动力系统，因此证明了该脉冲动力系统与基于ADP的闭环PDE系统相结合的稳定性。最后，温度场仿真结果验证了该方法的有效性。