| 基于混合系统与终端不变集约束的混合整数规划优化控制 |
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| 引用本文： | 李坚强,裴海龙,王辉鹏.基于混合系统与终端不变集约束的混合整数规划优化控制[J].自动化学报,2008,34(9):1203-1208. |
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| 作者姓名： | 李坚强 裴海龙 王辉鹏 |
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| 作者单位： | 1.华南理工大学自动化学院 广州 510641 |
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| 基金项目： | 国家自然科学基金，教育部高等学校博士学科点专项科研基金 |
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| 摘 要： | 首先给出了混合系统的混合逻辑动态(Mixed logic dynamic, MLD)模型建模; 提出了基于终端不变集约束的混合整数规划优化控制, 通过建立Lyapunov函数证明了该方法的可行性; 利用混合整型二次规划(Mixed-integer quadratic programming, MIQP)的方法对终端不变集约束混合系统的优化控制进行求解; 最后通过一个实例进行建模、仿真, 证明了本方法的可行性与优越性.
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| 关 键 词： | 混合系统 不变集 混合逻辑动态模型 混合整型二次规划 |
| 收稿时间： | 2007-8-21 |
| 修稿时间： | 2008-4-17 |
Mixed Integer Programming Control Based on Hybrid Systems and Terminal Constraint by Invariant Sets |
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| LI Jian-Qiang,PEI Hai-Long,WANG Hui-Peng.Mixed Integer Programming Control Based on Hybrid Systems and Terminal Constraint by Invariant Sets[J].Acta Automatica Sinica,2008,34(9):1203-1208. |
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| Authors: | LI Jian-Qiang PEI Hai-Long WANG Hui-Peng |
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| Affiliation: | 1.Department of Automation, South China University of Technology, Guangzhou 510641;2.School of Information Engineering, Shenzhen University, Shenzhen 518060 |
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| Abstract: | This paper gives a hybrid system model based on mixed logic dynamic(MLD)at first,and proposes a mixed inte- ger programming control based on terminal constraint by invari- ant set.The wlidity of the method is proved by Lyapunov func- tion;then the problem is solved by the mixed-integer quadratic programming(MIQP)method.Finally,an example is modeled, and the result of the simulation shows the validity and superi- ority of the method. |
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| Keywords: | Hybrid systems invariant sets mixed logical dynamical systems mixed-integer quadratic programming(MIQP) |
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