学位论文简介

随着人工智能、自主系统与边缘智能技术的发展，高维动态系统控制面临计算复杂度高、实时性强和能效受限等挑战。传统数字计算架构受存储与计算分离限制，难以兼顾低延迟与低功耗需求。基于忆阻器的模拟计算电路可在模拟域内直接实现高效计算，具有快速求解和免数据搬运等优势，但仍面临通用设计不足、系统应用待深化及非理想因素影响等问题。围绕上述问题，本文面向高维动态系统控制中的关键计算需求，开展基于新型模拟计算电路的系统性研究，主要创新成果如下：

（1）提出了面向高维矩阵计算的模拟电路设计方法，建立了从数学定义、物理方程到电路架构的系统化映射路径。该方法不仅支持基础矩阵算子实现，还可结合神经动力学机制拓展至复杂非线性矩阵计算，其为高维控制任务中的大规模矩阵计算提供了可扩展、高能效的硬件设计。

（2）提出了面向状态估计、反馈控制和预测优化的模拟计算控制架构。围绕Kalman滤波、线性二次型控制器和模型预测控制（MPC）等典型算法，分别构建了全流程模拟域执行电路，实现了电池状态估计、车辆悬架控制和自动驾驶轨迹跟踪等应用验证。评估结果表明，所设计电路在非理想因素影响下仍保持较高的计算精度，并在延迟和能效方面显著优于传统数字计算方法。

（3）提出了面向复杂扰动环境的强化学习与MPC融合的模拟计算协同框架。该框架将策略修正能力与约束优化能力统一于闭环控制过程，并通过双神经网络协同映射实现策略推理网络与MPC求解器的全模拟电路部署。实验结果表明，该方法能够提升系统在突发扰动下的恢复能力，并实现微秒级的控制周期，为资源受限条件下高维动态系统的实时闭环控制提供了新的实现途径。

主要学术成果

[1]Pingdan Xiao, Zhengmiao Wei, Sichun Du, Wanli Chang, Qinghui Hong. ACIM-QMM: Efficient analog computing-in-memory accelerator for QC-MDPC McEliece cryptosystem [C]. Proceedings of the 62nd ACM/IEEE Design Automation Conference (DAC), 2025: 1–6. (CCF A类会议，第一作者)

[2]Pingdan Xiao, Du Sichun, Gu Yiliu, Bingqian Zhang, Wanli Chang, Qinghui Hong. RM-CIMA: An analog computing-in-memory accelerator for a robust UAV trajectory tracking framework [C]. Proceedings of the 63rd ACM/IEEE Design Automation Conference (DAC), 2026. (CCF A类会议，共同第一作者)

[3]Sen Zhang⁺, Pingdan Xiao⁺, Qinghui Hong, Lin Tang, Zhengdao Xie, Rui He, Bei Jiang, Xitong Hong, Xinjie Li, Haodi Zhu, Ruohao Hong, Chang Liu, Xingqiang Liu, Yawei Lv, Yang Chai, Lei Liao, Xuming Zou. Rational design of a vision fusion system with visible and near-infrared spectral integration for improved environmental perception [J]. National Science Review, 2025, 12(7): nwaf204. (中科院一区，共同第一作者)

[4]Pingdan Xiao⁺, Yiliu Gu⁺, Haoyou Jiang, Zhen Huan, Sichun Du, Qinghui Hong. Memristive neural network circuit implementation of model predictive control for trajectory tracking [J]. IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 2026, 45(2): 955–968.(中科院一区，共同第一作者)

[5]Pingdan Xiao⁺, Meimei Ma⁺, Haoyou Jiang, Zhen Huan, Sichun Du, Qinghui Hong. Analog solver design of LU decomposition algorithm for accelerating public color watermarking [J]. IEEE Transactions on Industrial Informatics, 2026, 22(2): 969–980. (中科院一区，共同第一作者)

[6]Pingdan Xiao⁺, Qinghui Hong, Sichun Du, Jiliang Zhang. Analog-in-memory accelerator design based on memristive arrays for opposite directional interference alignment algorithm [J]. IEEE Transactions on Industrial Informatics, 2024, 20(3): 3628–3638. (中科院一区，第一作者)

[7]Pingdan Xiao, Qinghui Hong, Jingru Sun, Sichun Du, Jiliang Zhang. Design and application of programmable analog circuit for solving Lyapunov matrix equation based on memristors [J]. IEEE Transactions on Industrial Electronics, 2024, 71(7): 7786–7795. (中科院一区，第一作者)

[8]Pingdan Xiao, Junjie Fang, Zhengmiao Wei, Yu Dong, Sichun Du, Shiping Wen, Qinghui Hong. A Riccati matrix equation solver design based neurodynamics method and its application [J]. IEEE Transactions on Automation Science and Engineering, 2025, 22: 15163–15176. (中科院二区，高被引论文，第一作者)

[9]Pingdan Xiao, Qinghui Hong, Sichun Du, Jiliang Zhang. CIM-KF: Efficient computing-in-memory circuits for full-process execution of Kalman Filter algorithm [C]. Proceedings of the 53rd International Conference on Parallel Processing (ICPP), 2024: 1032–1041. (CCF B类会议，第一作者)

[10]Pingdan Xiao, Sichun Du, Zhengmiao Wei, Qinghui Hong, Shiping Wen. Design and application of programmable analog computing circuit for Kalman Filter algorithm based on memristive array [J]. IEEE Transactions on Circuits and Systems for Artificial Intelligence, 2024, 1(2): 272–284. (第一作者)

[11]肖平旦, 洪庆辉, 杜四春, 孙辰, 黎俊, 张吉良. 基于忆阻器的可编程矩阵行列式求解电路设计及应用 [J]. 中国科学: 信息科学, 2023, 53(5): 1008–1025. (中文CCF A类期刊，第一作者)

[12]Qinghui Hong, Pingdan Xiao, Ruijia Fan, Sichun Du. Memristive neural network circuit design based on locally competitive algorithm for sparse coding application [J]. Neurocomputing, 2024, 578: 127369. (中科院二区，导师一作学生二作)

[13]Pingdan Xiao, Bingqian Zhang, Sichun Du, Qinghui Hong. An Analog Matrix Computing Scheme for QC-MDPC McEliece Cryptosystem based on Memristive Array [J]. IEEE Transactions on Computers. (CCF A类论文，第一作者，小修)

[14]Pingdan Xiao, Bingqian Zhang, Pengcheng Zeng, Haoyou Jiang, Sichun Du, Qinghui Hong. Real-Time DC-OPF Solution via a Memristive Neural Network Circuit Approach[J]. IEEE Transactions on Circuits and Systems for Artificial Intelligence. (第一作者，审稿中)

[15]Pingdan Xiao, Yiliu Gu, Hegan Chen, Bingqian Zhang, Sichun Du, Qinghui Hong. PDE-ACiM: A Cross-Layer Co-Design of Physics-informed Analog Computing-in-Memory Accelerator for Efficient PDE Solving. International Conference On Computer-Aided Design.(第一作者，审稿中)