| 基于状态观测器的一类不确定系统的鲁棒预测控制 |
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| 引用本文： | 杨园华,;刘晓华.基于状态观测器的一类不确定系统的鲁棒预测控制[J].烟台师范学院学报(自然科学版),2008(3):206-209. |
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| 作者姓名： | 杨园华 ;刘晓华 |
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| 作者单位： | [1]山东大学控制科学与工程学院,济南250061; [2]鲁东大学科研处,山东烟台264025 |
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| 摘 要： | 运用线性矩阵不等式方法，研究了一类具有范数有界不确定系统的鲁棒预测控制问题．在每一采样时刻预测状态值，将无限时域“min-max”优化问题转化为凸优化问题求解，得出状态反馈预测控制律；同时设计系统的全维状态观测器，使得到的控制律满足观测器增益Lp，从而保证了闭环系统的稳定性．仿真示例验证了算法的有效性．
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| 关 键 词： | 鲁棒预测控制 线性矩阵不等式 状态观测器 不确定系统 |
Robust Predictive Control for A Class of Uncertain Systems Based on State Observer |
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| Institution: | YANG Yuan-hua ,LIU Xiao-hua( 1. School of Control Science and Engineering, Shangdong University, Jinan 250061, China 2. Scientific Research Department, Ludong University, Yantai 264025, China) |
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| Abstract: | The problem of robust predictive control for the systems with norm-bounded uncertainties is studied using the method of linear matrix inequality. With the predicted status value at every sampling time, the infinite time domain ＂rain-max＂ optimization problems are converted into convex optimization ones, the state feedback control law is deduced. In order to guarantee the stability of the closed-loop system simultaneously, the state observer is designed when the control law satisfying the observer gain Lp. The simulation example testify the correctness and effectiveness of this method. |
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| Keywords: | robust predictive control linear matrix inequality （LMI） state observer uncertain systems |
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