二阶动力学系统高阶PI观测器的参数化设计方法

王国胜; 汤霞清; 段广仁

二阶动力学系统高阶PI观测器的参数化设计方法

1.
装甲兵工程学院控制工程系,北京,100072
2.
哈尔滨工业大学控制理论与制导技术研究中心,黑龙江,哈尔滨,150001

基金项目: 国家杰出青年基金资助项目（69925308）

详细信息

作者简介:
王国胜（1975- ），男，博士，讲师．研究领域为线性系统理论，鲁棒控制理论及应用．
汤霞清（1965- ），男，博士，副教授．研究领域为坦克火控与指控系统智能控制技术，导航与定位技术．
段广仁（1962- ），男，博士，特聘教授．研究领域为线性系统理论、鲁棒控制理论及其在航天中的应用．

中图分类号: TP273
计量
- 文章访问数: 1604
- HTML全文浏览量: 5
- PDF下载量: 304
出版历程
- 收稿日期: 2006-03-08
- 发布日期: 2007-02-19

A Parametric Design Method of High-order PI Observer for Second-order Dynamic Systems

1.
Department of Control Engineering, the Academy of Armored Force Engineering, Beijing 100072, China
2.
Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001, China

摘要

摘要: 本文研究二阶动力学系统的高阶比例积分（PI）观测器设计问题．基于Sylvester矩阵方程的解，提出了该观测器设计的参数化方法．该参数化方法给出了该类观测器增益矩阵的参数化表达式，其所含参数除了满足两个约束条件之外是完全自由的．这些参数为控制系统设计提供了全部自由度，可通过优化等手段选择这些参数来满足某些性能要求，如干扰解耦、故障检测和鲁棒性等．此外，该PI观测器的参数化设计方法直接利用二阶动力学系统的原始参数矩阵，只涉及二阶动力学系统n维参数矩阵的运算．给出一个数值例子，以说明所提方法的简单性和有效性．
- 二阶动力学系统 /
- 比例积分观测器 /
- 参数化 /
- 自由度
Abstract: Design of a high-order proportional plus integral (PI) observer in second-order dynamic systems is investigated.Based on the solutions to Sylvester matrix equations,a parametric method for designing this observer is proposed.The method presents the parametric expression for the gain matrix of the high-order PI observer.The contained parameters satisfy the needs of two constraints and are completely free as well.These parameters offer all the design degrees of freedom,which can be further selected to satisfy certain performances by means of optimization,such as disturbance decoupling,fault detection and robustness.In addition,the parametric method of designing the PI observers directly utilizes the original parameter matrices of the second-order dynamic systems and involves manipu-lations only on n-dimensional matrices of the second-order dynamic systems.A numerical example is presented to show the simplicity and effectiveness of the proposed method.
- second-order dynamic system /
- proportional plus integral observer /
- parameterization /
- degree of freedom

HTML全文

参考文献(15)

[1]	Luenberger D G.Introduction to observers[J].IEEE Transactions on Automatic Control,1971,AC-16 (6):596～602.
[2]	Krishna K B,Kabore P.On the design of integral and proportional integral observers[A].Proceedings of the American Control Conference[C].Piscataway,NJ,USA:IEEE,2000.3725～3729.
[3]	Hou M,Muller P C.Fault detection and isolation observers[J].International Journal of Control,1994,60 (5):827～846.
[4]	Duan G R,Pattoton R J.Robust fault detection using Luenbergertype unknown input observers:A parametric approach[J].International Journal of Systems Science,2001,32(4):533～540.
[5]	Shafai B,Pi C T,Nork S.Simultaneous disturbance attenuation and fault detection using proportional integral observers[A].Proceedings of the American Control Conference[C].Piscataway,NJ,USA:2002.1647～1649.
[6]	Shafai B,Beale S,Niemann H H,et al.LTR design of discretetime proportional integral observers[J].IEEE Transactions on Automatic Control,1996,41 (7):1056～1062.
[7]	Chu D L.Disturbance decoupled observer design for linear timeinvariant systems:A matrix pencil approach[J].IEEE Transactions on Automatic Control,2000,45 (8):1569～1575.
[8]	Magham P G.Model refinement using eigensystem assignment[J].Journal of Guidance,Control and Dynamics,2000,23 (4):683～692.
[9]	Kim Y D,Kim H S,Junkins J L.Eigenstructure assignment algorithm for mechanical second-order systems[J].Journal of Guidance,Control and Dynamics,1999,22 (5):729～731.
[10]	Wang G S,Lv Q,Duan G R.Eigenstructure assignment in a class of second-order dynamic systems[J].Journal of Control Theory and Applications,2006,4 (3):302～307.
[11]	Wang G S,Duan G R.Robust pole assignment via P-D feedback in a class of second-order dynamic systems[A].Proceedings of the 2004 8th International Conference on Control,Automation,Robotics and Vision[C].Piscataway,NJ,USA:IEEE,2004.1152～1156.
[12]	Wang G S,Liang B,Duan G R.Reconfiguring second-order dynamic systems via state feedback eigenstructure assignment[J].International Journal of Control,Automation,and Systems,2005,3(1):109～116.
[13]	段广仁,王国胜.矩阵方程EVJ2+AVJ+CV=BW的两种解析通解[J].哈尔滨工业大学学报,2005,37(1):1～4.
[14]	王国胜,王子华,段广仁.二阶动力学系统的干扰解耦与抑制[J].系统工程与电子技术,2004,26(11):1640～1643.
[15]	王国胜,段广仁.二阶动力学系统输出反馈特征结构配置[J].系统工程与电子技术,2004,26(8):1080～1083.

施引文献

资源附件(0)

计量

文章访问数: 1604
HTML全文浏览量: 5
PDF下载量: 304
被引次数: 0

二阶动力学系统高阶PI观测器的参数化设计方法

计量

出版历程

A Parametric Design Method of High-order PI Observer for Second-order Dynamic Systems

计量

出版历程

目录