| 饱和约束系统的鲁棒模型预测控制 |
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| 引用本文： | 李志军,刘吉臻,谭文.饱和约束系统的鲁棒模型预测控制[J].控制与决策,2006,21(6):641-645. |
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| 作者姓名： | 李志军 刘吉臻 谭文 |
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| 作者单位： | 1. 北方工业大学,机电工程学院,北京,100041
2. 华北电力大学,自动化系,北京,102206 |
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| 摘 要： | 针对饱和约束系统提出了一种鲁棒模型预测控制算法,分别考虑了多面体不确定性和结构反馈不确定性.考虑无穷时域的最坏二次性能指标,通过采用带有饱和特性的反馈控制结构,将控制律的求解转化为一个在线的线性矩阵不等式优化问题.初始时刻优化问题的可行性保证了闭环控制系统的鲁棒稳定性.最后的仿真结果说明了算法的优越性.
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| 关 键 词： | 鲁棒模型预测控制 模型不确定性 线性矩阵不等式 饱和 |
| 文章编号： | 1001-0920（2006）06-0641-05 |
| 收稿时间： | 2005-04-25 |
| 修稿时间： | 2005-09-20 |
Robust Model Predictive Control for Saturated Systems |
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| LI Zhi-jun,LIU Ji-zhen,TAN Wen.Robust Model Predictive Control for Saturated Systems[J].Control and Decision,2006,21(6):641-645. |
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| Authors: | LI Zhi-jun LIU Ji-zhen TAN Wen |
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| Affiliation: | 1. College of Electromechnically Engineering, North China University of Technology, Beijing 100041, China; 2. Department of Automation, North China Electric Power University, Beijing 102206, China. |
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| Abstract: | A robust model predictive control algorithm for saturated systems is proposed,in which polytopic uncertainty and structure feedback uncertainty are respectively considered.An infinite horizon worst-case quadratic function is considered as performance objective.By using a saturated feedback control structure,the control law is obtained by solving a linear matrix inequality(LMI) optimization problem on-line.The feasibility of optimization problem at the original time implies robust stability of the closed-loop system. |
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| Keywords: | Robust model predictive control Model uncertainty Linear matrix inequality Saturation |
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