| 基于输出反馈的不确定连续系统的鲁棒预测控制 |
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| 引用本文： | 韩春艳,刘晓华.基于输出反馈的不确定连续系统的鲁棒预测控制[J].信息与控制,2006,35(6):721-725. |
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| 作者姓名： | 韩春艳 刘晓华 |
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| 作者单位： | 1. 鲁东大学数学与信息学院,山东,烟台,264025;山东大学控制科学与工程学院,山东,济南,250061
2. 鲁东大学数学与信息学院,山东,烟台,264025 |
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| 摘 要： | 运用线性矩阵不等式方法,研究一类基于输出反馈的线性连续时间范数有界参数不确定系统的鲁棒预测控制问题．基于变量变换的思想,将无限时域“最小—最大”优化问题转化为线性规划问题,得出分段连续的输出反馈控制律,并给出了控制律存在的充分条件,证明了优化问题在初始时刻的可行解保证闭环系统渐近稳定．仿真实例验证了此方法的有效性．
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| 关 键 词： | 预测控制 输出反馈 线性矩阵不等式(LMI) 连续时间系统 鲁棒稳定性 |
| 文章编号： | 1002-0411（2006）06-0721-05 |
| 收稿时间： | 2005-09-08 |
| 修稿时间： | 2005-09-08 |
Robust Predictive Control for Uncertain Continuous-time System Based on Output Feedback |
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| HAN Chun-yan,LIU Xiao-hua.Robust Predictive Control for Uncertain Continuous-time System Based on Output Feedback[J].Information and Control,2006,35(6):721-725. |
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| Authors: | HAN Chun-yan LIU Xiao-hua |
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| Affiliation: | 1. School of Mathematics and Information, Ludong University, Yantai 264025, China ; 2.School of Control Science and Engineering, Shandong University, Jinan 250061, China |
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| Abstract: | An output feedback based robust predictive control algorithm for linear continuous-time systems with norm-bounded parameter uncertainties is presented by linear matrix inequality formulation.Based on the idea of variable transformation,the infinite time domain "min-max" optimization problems are converted into linear programming problems,a piecewise continuous output feedback control law is obtained and the sufficient conditions for the exis-(tence) of this control law are given.It is proved that the robust stability of the closed-loop systems is guaranteed by the initial feasible solutions of the optimization problems.A simulation example illustrates the efficiency of this method. |
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| Keywords: | predictive control output feedback linear matrix inequality(LMI) continuous-time system robust stability |
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