| 单输入时滞离散系统的LQR问题 |
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| 引用本文： | 殷月竹,殷志祥,许峰,殷月庆.单输入时滞离散系统的LQR问题[J].合肥工业大学学报(自然科学版),2008,31(12). |
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| 作者姓名： | 殷月竹 殷志祥 许峰 殷月庆 |
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| 作者单位： | 1. 安徽理工大学,理学院,安徽,淮南,232001
2. 山东省日照市莒县二中,山东,莒县,276500 |
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| 基金项目： | 国家自然科学基金资助项目
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安徽省教育厅自然科学基金资助项目
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| 摘 要： | 文章研究单输入时滞线性离散时间系统的二次最优控制问题(LQR)。将所研究的带输入时滞的问题转化为一个不带时滞的问题,一个动态的离散时间系统最优控制问题转化成了一个静态的数学规划模型,并运用2种方法成功推导出系统的最优控制输入序列;以数值算例进行仿真,其结果验证了该方法的有效性。
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| 关 键 词： | 时滞离散线性系统 LQR最优控制 凸二次规划 |
Linear quadratic regulation for discrete-time systems with single input delay |
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| YIN Yue-zhu,YIN Zhi-xiang,XU Feng,YIN Yue-qing.Linear quadratic regulation for discrete-time systems with single input delay[J].Journal of Hefei University of Technology(Natural Science),2008,31(12). |
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| Authors: | YIN Yue-zhu YIN Zhi-xiang XU Feng YIN Yue-qing |
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| Institution: | YIN Yue-zhu1,YIN Zhi-xiang1,XU Feng1,YIN Yue-qing2 |
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| Abstract: | The optimal control problem of linear quadratic regulation(LQR) for linear discrete-time systems with single input delay is studied in this paper.The studied LQR problem with control input delay is converted into a problem without delay,and a dynamic LQR optimal control problem for the linear discrete-time system is converted into a static mathematical programming model.The optimal control input sequences are successfully derived.Finally,a numerical example is given,and the simulated results show that the approach is very effective. |
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| Keywords: | linear discrete-time system with time-delay optimal control of LQR convex quadratic programming |
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