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| 应用LQG方法在生产—库存管理系统中的应用研究 | |
| 引用本文： | 王敏,吕世良,曲仕敬.应用LQG方法在生产—库存管理系统中的应用研究[J].海军航空工程学院学报,2006,21(1):197-200. |
| 作者姓名： | 王敏 吕世良 曲仕敬 |
| 作者单位： | 1. 东北大学理学院,辽宁,沈阳,110004 2. 鲁东大学数学与信息学院 3. 鲁东大学交通学院,山东,烟台,264025 |
| 摘 要： | 给出线性二次型最优输出跟踪问题的系统方程和目标函数,对目标函数中每一项的实际意义做出分析,并讨论了加权矩阵中元素的选取。给出控制规律的最优解,并对最优控制与预期输出的关系做出分析。给出一个生产—库存管理模型,分析了该模型应满足的状态方程,从而说明了它是一个可观测系统,且可以用线性二次型最优输出跟踪问题来解决。最后用具体实例验证了方法的有效性。 |
| 关 键 词： | 线性二次型 输出跟踪 生产—库存系统 |
| 修稿时间： | 2005年10月26 |
Application of LQG in production-reserve system |
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| WANG Min,LV Shiliang and QU Shijing.Application of LQG in production-reserve system[J].Journal of Naval Aeronautical Engineering Institute,2006,21(1):197-200. | |
| Authors: | WANG Min LV Shiliang and QU Shijing |
| Institution: | School of Science,Northeastern University,Shenyang,Liaoning,110004,College of Mathematics and Informational,Ludong University and College of Traffic,Ludong University,Yantai,Shandong,264025 |
| Abstract: | The system equation and the objective function of the LQG are given. The practical meaning of each term of the objective function is analyzed, and the method of how to select the elements of the weighted matrix is discussed. The optimal solution of this control law is given, and the relationship between the optimum control and the expect output is analyzed. The model of a production-reserve system is given, and the condition equation it contented is analyzed, which indicates that it is a observable system, the problem can be solved by using the LQG method. Lastly, an example is introduced to test and verify the effectiveness of this method. |
| Keywords: | Linear quadratic genre output follow production-reserve system |
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