振动二阶线性系统的鲁棒特征结构配置设计及其仿真

Abstract

Abstract: The design problem of robust eigenstructure assignment in a class of vibration second-order linear systems is investigated.Based on the parametric solutions to the vibration matrix equation,a parametric method of state feedback eigenstructure assignment in the vibration second-order linear system is presented.The proposed parametric method gives the parametric expression for all the state feedback control law,whose parameter vectors offer all the design degrees of freedom.Based on the degrees of freedom offered by the parametric method,an optimization method to solve the robust eigenstructure assignment in the vibration second-order linear systems is pointed out,in which the sensitivity performances to measure the system’s robustness are optimized.An illustrative example and its simulation results show the algorithms of state feedback eigenstructure assignment and robust eigenstructure assignment in vibration second-order linear systems are simple and effective,thus they are convenient to use in engineering.

CLC Number:

TP13
TP273

DUAN Hong-mei. Robust eigenstructure assignment design in vibration second-order linear systems and its simulation[J]. Journal of Systems Engineering and Electronics, 2009, 31(4): 922-926.

References

[1] Yao J T P.Concept of structure control[J].ASCE Journal of Structure Division,1972,98(ST7):1567-1574.
[2] 欧进萍.结构振动控制:主动、半主动和智能控制[M].北京;科学出版社,2003.
[3] 张春巍,欧进萍.现代土木工程理论与实践[M].南京:河海大学出版社,2003:489-496.
[4] 王国胜,吕强.段广仁.振动系统的特征结构配置设计[J].振动与冲击,2006,25(3):110-114.
[5] Chan H C,Lam J,Daniel W C Ho.A gradient flow approach to robust pole assignment in second-order systems[C]//Proc.of the 35th Conference on Decision and Control,1996:4589-4590.
[6] 李书,张晓谷.向锦武.结构控制设计中具有输出反馈最小范数的极点配置方法[J].航空学报,2000,21(5):446-449.
[7] 李书,孙忠凯,向锦武.结构控制中输出反馈鲁棒极点配置优化方法[J].力学学报,2001,33(1):71-77.
[8] Juang J N,Maghami P G.Robust eigensystem assignment for second-order dynamics systems[J].Mechanics and Control of Large Flexible Structures,Progress in Astronautics and Aeronautics,AIAA,Washington DC,1990,129:373-388.
[9] Juang J N,Maghami P G.Robust eigensystem assignment for state estimators using second-order models[J].Journal of Guidance,Control and Dynamics,1992,15(4):920-927.
[10] Wang Guosheng,Lu Qiang,Duan Guangren.Eigenstructure assignment in a class of second-order dynamic systems[J].Journal of Control Theory and Applications,2006,4 (3) 302-308.
[11] Wang Guosheng,Lu Qiang,Liang Bing,et al.Partial eigenstructure assignment via P-D feedback in second-order descriptor linear systems[J].Dynamics of Continuous,Discrete and Impulsive Systems,2006,3(2):1022-1029.
[12] Wang Guosheng,Liang Bing,Duan Guangren.H2-optimal control with regional pole assignment via state feedback[J].International Journal of Control,Automation,and Systems,2006,4(5):653-659.
[13] Wang Guosheng,Yang Guozhen,Duan Guangren.Partial pole assignment by constant gain feedback in two classes of frequency-domain modeis[J].International Journal of Control,Automation,and Systems,2007,5 (2):111-116.
[14] Wang Guosheng,Duan Guangren.Parameterization of PID eigenstructure assignment in second-order linear systems[J].International Journal of Modeling,Identification and Control,2007,2(2):100-105.
[15] 王国胜,柴庆宣,段广仁.二阶动力学系统分散状态反馈特征结构配置[J].哈尔滨工业大学学报,2004,36(12):1585-1588.
[16] 段红梅,王国胜,段广仁.二阶Sylvester方程的解及其在特征结构配置中的应用[J].科学技术与工程,2007,20(7):5246-5250.
[17] 王国胜,段广仁.二阶动力学系统输出反馈特征结构配置.系统工程与电子技术,2004,26(8):1080-1083,2004.(Wang Guosheng,Duan Guangren.Eigenstructure assignment via output feedback in second-order dynamic systems[J].Systems Engineering and Electronics,2004,26(8):1080-1083.)
[18] 王国胜,吕强,段广仁.基于特征结构配置的结构主动控制及仿真[J].系统仿真学报,2006,18(6):1605-1608.
[19] 王国胜.吕强,段广仁.二阶线性系统全维PI观测器的参数化设计[J].控制与决策,2007,22(3):345-248.
[20] 王国胜,汤霞清,段广仁.二阶动力学系统系统高阶PI观测器设计[J].信息与控制,2007,36(1);115-118.

Robust eigenstructure assignment design in vibration second-order linear systems and its simulation

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments

[1]	Xuan WANG, Peng DI, Dongliang YIN. Conflict evidence fusion method based on Lance distance and credibility entropy [J]. Systems Engineering and Electronics, 2022, 44(2): 592-602.
[2]	Jintao LIU, Ming HE, Ling LUO, Qiang LIU, Minggang YU. Eigenvalue analysis of the pinning control system of unmanned aerial vehicle swarm [J]. Systems Engineering and Electronics, 2022, 44(2): 612-618.
[3]	Cheng FANG, Wen LU, Jingying JI, Yumeng SONG, Feifei LIANG, Zhiwei LUO. Correlation filter-tracking algorithm based on appearance similarity update [J]. Systems Engineering and Electronics, 2022, 44(1): 117-126.
[4]	Zhe LUO, Wanzhen QUAN, Purui ZHANG, Xiaogang YANG. Consensus tracking control for one-side Lipschitz nonlinear multi-agent systems [J]. Systems Engineering and Electronics, 2022, 44(1): 279-284.
[5]	Anran FANG, Dan LI, Jianqiu ZHANG. Outlier and unknown observation noise robust Kalman filter [J]. Systems Engineering and Electronics, 2021, 43(3): 593-602.
[6]	ZHANG Guo, LI Jun-min. Stabilizing control for discrete-time fuzzy bilinear systems [J]. Journal of Systems Engineering and Electronics, 2009, 31(10): 2440-2444.
[7]	LIN Qiong-bin, WANG Wu, YANG Fu-wen, CAI Bi-zhen. Fuzzy dissipative filtering for nonlinear systems with stochastic delay [J]. Journal of Systems Engineering and Electronics, 2009, 31(10): 2434-2439.
[8]	MA Ke-yun, YU Li, ZHANG Wen-an. H_∞ control approach to congestion control for multi-link network [J]. Journal of Systems Engineering and Electronics, 2009, 31(8): 1930-1934.
[9]	DAI Jian-guo, CUI Bao-tong. Absolute stability analysis for the multi-input and multi-output networked control systems [J]. Journal of Systems Engineering and Electronics, 2009, 31(7): 1705-1709.
[10]	FU Qin, WANG Bao-hua, YANG Cheng-wu. Robust control for a class of large-scale interconnected nonlinear time-delay systems [J]. Journal of Systems Engineering and Electronics, 2009, 31(7): 1720-1722.
[11]	WEN Ji-wei, LIU Fei. Sampled-data controller design for a class of fuzzy jump systems [J]. Journal of Systems Engineering and Electronics, 2009, 31(6): 1415-1419.
[12]	XIAO Min-qing, PENG Qing, CAO Chang-xiu. Reliable robust D-stabilization control of Delta operator systems with actuator failure [J]. Journal of Systems Engineering and Electronics, 2009, 31(6): 1506-1509.
[13]	DONG Ya-li, FAN Jiao-jiao, YANG Ying-juan. H-infinity robust stabilization for a class of uncertain time-delay nonlinear systems [J]. Journal of Systems Engineering and Electronics, 2009, 31(5): 1167-1171.
[14]	KONG Qing-fu, ZHANG Qing-ling, YANG Chun-yu. State observer design for a class of nonlinear descriptor systems [J]. Journal of Systems Engineering and Electronics, 2009, 31(3): 657-660,718.
[15]	WANG Jia, LIN Yu-feng, XING Wei. Guaranteed cost H∞ control with disk pole constraints [J]. Journal of Systems Engineering and Electronics, 2009, 31(3): 666-670.