| 基于LMI直升机奇异系统鲁棒稳定控制器的设计 |
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| 引用本文： | 陈亮,孙楠,刘克平.基于LMI直升机奇异系统鲁棒稳定控制器的设计[J].吉林大学学报(信息科学版),2009,27(6):628-633. |
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| 作者姓名： | 陈亮 孙楠 刘克平 |
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| 作者单位： | 1长春工业大学 电气与电子工程学院,长春 130012；2深圳机场出入境边防检查站,深圳518128 |
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| 基金项目： | 吉林省杰出青年基金资助项目，教育部留学回国人员科研启动基金资助项目 |
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| 摘 要： | 针对三自由度直升机奇异系统鲁棒稳定性分析复杂，且难以设计稳定的控制器问题，基于状态空间方法建立了三自由度直升机模型的线性动力学系统模型。利用线性矩阵不等式(LMI:Linear Matrix Inequality)推导并证明了奇异系统鲁棒渐进稳定的条件，提出了一类奇异系统鲁棒稳定状态反馈控制率的设计方法，并绘出三自由度直升机系统的状态响应曲线。实验结果表明，该控制器比LQR(Linear Quadratic Regulator)控制器具有更好的稳定性和鲁棒性。
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| 关 键 词： | 三自由度直升机系统 线性动力学模型 线性矩阵不等式 鲁棒渐进稳定 稳定性和鲁棒性 |
LMI-Based Robust Stability Controller Design for Helicopter Singular Systems |
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| CHEN Liang,SUN Nan,LIU Ke-ping.LMI-Based Robust Stability Controller Design for Helicopter Singular Systems[J].Journal of Jilin University:Information Sci Ed,2009,27(6):628-633. |
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| Authors: | CHEN Liang SUN Nan LIU Ke-ping |
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| Institution: | 1 College of Electrical and Electronic Engineering, Changchun University of Technology, Changchun 130012, China；
2Shenzhen Airport Station of Exit and Entry Frontier Inspection, Shenzhen 518128, China |
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| Abstract: | The robust stability analysis of three degrees of freedom helicopter singular systems is complex and difficult to design.Based on state-space theory,the linear dynamics model of three degrees of freedom helicopter was constructed.The conclusions that three degrees of freedom helicopter system is no feasible solution and non-robust stability are obtained.The conditions for robust asymptotic stability of singular system was derived and proved using LMI(Linear Matrix Inequalities).The ruboust stability of stat... |
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| Keywords: | three degrees of freedom helicopter system linear dynamics model linear matrix inequality(LMI) robust asymptotic stability stability and robustness |
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