| 基于模糊建模的非线性鲁棒模型预测控制 |
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| 引用本文： | 刘志远,周建锁,裴润,陈虹.基于模糊建模的非线性鲁棒模型预测控制[J].电机与控制学报,2002,6(3):229-232,236. |
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| 作者姓名： | 刘志远 周建锁 裴润 陈虹 |
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| 作者单位： | 1. 哈尔滨工业大学控制科学与工程系,黑龙江,哈尔滨,150001
2. 吉林大学控制科学与工程系,吉林,130025 |
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| 基金项目： | 黑龙江省自然科学基金资助项目，教育部科学技术研究重点资助项目 |
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| 摘 要： | 针对离散不确定模糊模型，提出了一种鲁棒非线性模型预测控制方法，导出了预测性能指标上界，将稳定性约束，输入约束和输出约束变换成容易求解的线性矩阵不等式（LMI）形式，从而将非线性模型预测控制Min-Max优化问题变换成具有线性矩阵不等式约束的广义特征值问题（GEVP）。对于采用的状态反馈预测控制器，讨论了滚动时域优化的可行性，证明了闭环系统的鲁棒稳定性。仿真结果表明了控制器的有效性。
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| 关 键 词： | 模糊建模 非线性鲁棒模型 预测控制 线性矩阵不等式 鲁棒性 |
| 文章编号： | 1007-449X(2002)03-0229-04 |
Nonlinear robust model predictive control based on fuzzy modelling |
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| LIU Zhi-yuan'''',ZHOU Jian-suo,PEI Run,CHEN Hong.Nonlinear robust model predictive control based on fuzzy modelling[J].Electric Machines and Control,2002,6(3):229-232,236. |
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| Authors: | LIU Zhi-yuan' ZHOU Jian-suo PEI Run CHEN Hong |
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| Abstract: | A robust model predictive control (MPC) scheme based on fuzzy modelling is proposed for a nonlinear system. The upper bound of predictive cost is derived, constraints on inputs and outputs are transformed into linear matrix inequalities (LMI) which are easy to solve, and then minmax optimization of nonlinear model predictive control is transformed to generalized eigen value problem(GEVP) with LMI constraints. State feedback based predictive controller is used in the scheme. Furthermore, feasibility and robust stability of the resulting moving horizon optimization are proved. Simulation shows the validity of the moving horizon controller. |
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| Keywords: | fuzzy modelling linear matrix inequality nonlinear model predictive control robustness |
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