| 引用本文: | 田宇,何德峰,穆建彬.准最优稳定的约束非线性系统优先级多目标模型预测控制[J].控制理论与应用,2025,42(4):731~739.[点击复制] |
| TIANyu,何德峰,穆建彬.Prioritized multi-objective model predictive control of constrained nonlinear systems with quasi-optimal stability[J].Control Theory & Applications,2025,42(4):731~739.[点击复制] |
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| 准最优稳定的约束非线性系统优先级多目标模型预测控制 |
| Prioritized multi-objective model predictive control of constrained nonlinear systems with quasi-optimal stability |
| 摘要点击 0 全文点击 0 投稿时间：2022-11-29 修订日期：2025-03-10 |
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| DOI编号 10.7641/CTA.2024.21041 |
| 2025,42(4):731-739 |
| 中文关键词 模型预测控制 非线性系统 多目标控制 稳定性 经济优化 |
| 英文关键词 model predictive control nonlinear systems multi-objective control stability economic optimization |
| 基金项目 国家自然科学基金项目(62173303),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 |
| 针对具有控制约束的非线性系统,提出一种准最优稳定的优先级多目标模型预测控制策略.采用多目标字
典序方法,根据决策者偏好排序多目标函数,将冲突多目标控制问题转化为具有优先级顺序的单目标序列优化控制
问题.再引入准稳态最优性准则,得到各个优化控制问题目标函数的终端性质,进而建立优先级多目标滚动时域优
化控制问题的递推可行性和闭环性能的近似最优性.数值仿真结果验证了本文策略的优越性. |
| 英文摘要 |
| This paper proposes a prioritized multi-objective model predictive control (MO-MPC) strategy with quasi
optimal stability for nonlinear systems subject to control constraints. Using the multi-objective lexicographical method,
the multiple objective functions are sorted based on decision-maker’s preferences. Then the conflict multi-objective opti
mization control problem is transformed into a sequence of single objective optimization control problems with the priority
order. By introducing the quasi steady-state optimality criterion, the terminal properties of the objective function for each
optimization control problem are obtained. Moreover, the recursive feasibility and approximate optimality of closed-loop
performance for the prioritized multi-objective receding horizon optimal control problem are established. Numerical simu
lation results verify the effectiveness of the proposed strategy. |