| 引用本文: | 王定超,李西宏,何德峰,穆建彬.通信时滞非线性系统分布式经济模型预测控制[J].控制理论与应用,2025,42(12):2449~2458.[点击复制] |
| WANG Ding-chao,LI Xi-hong,HE Deng-feng,MU Jian-bin.Distributed EMPC of nonlinear systems with communication delays[J].Control Theory & Applications,2025,42(12):2449~2458.[点击复制] |
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| 通信时滞非线性系统分布式经济模型预测控制 |
| Distributed EMPC of nonlinear systems with communication delays |
| 摘要点击 141 全文点击 19 投稿时间：2024-08-28 修订日期：2025-11-05 |
| 查看全文 查看/发表评论 下载PDF阅读器 HTML |
| DOI编号 10.7641/CTA.2025.40463 |
| 2025,42(12):2449-2458 |
| 中文关键词 模型预测控制 分布式控制 非线性系统 经济优化 耦合系统 |
| 英文关键词 model predictive control distributed control nonlinear systems economic optimization coupled systems |
| 基金项目 国家自然科学基金项目(62173303,U24A20270),中央引导地方科技发展资金项目(2023ZY1045)资助. |
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| 中文摘要 |
| 针对通信时滞的状态耦合约束非线性系统,本文提出一种新的具有稳定性保证的分布式经济模型预测控
制(EMPC)策略.通过离散计算系统的最优经济稳态点,构建关于该点的稳定最优控制问题.利用稳定最优控制问题
的最优值函数,构造原始分布式EMPC优化的隐式收缩约束.应用终端约束和输入–状态稳定性(ISS)引理,建立分
布式EMPC的递推可行性和闭环系统关于最优经济稳态点相对于状态偏差的ISS结果.最后,采用级联的非线性连
续搅拌釜反应器,验证本文策略的有效性. |
| 英文摘要 |
| This paper presents a novel distributed economic model predictive control (EMPC) strategy with stability
guarantees for state-coupled constrained nonlinear systems with communication delays. The optimal economic equilibrium
point of the system is computed discretely, and a stabilizing optimal control problem related to this point is constructed.
The optimal value function of the stabilizing control problem is then used to formulate implicit contractive constraints
for the original distributed EMPC optimization. By employing terminal constraints and the input-to-state stability (ISS)
lemma, the recursive feasibility of the distributed EMPC and the ISS property of the closed-loop system with respect to
state deviations from the optimal economic equilibrium point are established. Finally, the effectiveness of the approach is
demonstrated using a cascade of nonlinear continuous stirred tank reactors. |