Eigenvalue assignment of second-order singular systems by acceleration-velocity-displacement feedback

被引：0

作者：

Xie, Huiqing ^{[1
]}

Li, Yingjia ^{[1
]}

机构：

[1] East China Univ Sci & Technol, Sch Math, Shanghai 200237, Peoples R China

来源：

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 2024年 / 36卷 / 03期

关键词：

Singular system; Second-order system; Eigenvalue assignment; Solvability; ROBUST POLE ASSIGNMENT; EIGENSTRUCTURE ASSIGNMENT;

D O I：

10.1007/s00498-023-00379-w

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The eigenvalue assignment problem of second-order singular system is investigated by using acceleration-velocity-displacement feedback. The conditions are established to ensure the solvability of partial eigenvalue assignment problem of second-order singular system. The derived results are extended to complete eigenvalue assignment problem of second-order singular system. The presented solvability conditions are easily tested. Then, the methods are given to solve the eigenvalue assignment problem of second-order singular systems. Finally, several examples are given to validate our results and algorithms.

引用

页码：629 / 659

页数：31

共 20 条

[1] Robust Solution for Second-Order Systems Using Displacement-Acceleration Feedback [J].

Abdelaziz, Taha H. S. .

JOURNAL OF CONTROL AUTOMATION AND ELECTRICAL SYSTEMS, 2019, 30 (05) :632-644

[2] Eigenstructure Assignment by Displacement-Acceleration Feedback for Second-Order Systems [J].

Abdelaziz, Taha H. S. .

JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2016, 138 (06)

[3] Robust pole assignment using velocity acceleration feedback for second-order dynamical systems with singular mass matrix [J].

Abdelaziz, Taha H. S. .

ISA TRANSACTIONS, 2015, 57 :71-84

[4] REGULARIZATION OF DESCRIPTOR SYSTEMS BY DERIVATIVE AND PROPORTIONAL STATE FEEDBACK [J].

BUNSEGERSTNER, A ;

MEHRMANN, V ;

NICHOLS, NK .

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1992, 13 (01) :46-67

[5] A 2ND ORDER SINGULAR LINEAR-SYSTEM ARISING IN ELECTRIC-POWER SYSTEMS-ANALYSIS [J].

CAMPBELL, SL ;

ROSE, NJ .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1982, 13 (01) :101-108

[6]

[崔一辉 Cui Yihui], 2006, [振动与冲击, Journal of Vibration and Shock], V25, P76

[7]

Duan GR, 2004, IEEE T AUTOMAT CONTR, V49, P1789, DOI [10.1109/TAC.2004.835580, 10.1109/tac.2004.835580]

[8] ROBUST POLE ASSIGNMENT IN SINGULAR CONTROL-SYSTEMS [J].

KAUTSKY, J ;

NICHOLS, NK ;

CHU, EKW .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1989, 121 :9-37

[9] ROBUST POLE ASSIGNMENT IN LINEAR STATE FEEDBACK [J].

KAUTSKY, J ;

NICHOLS, NK ;

VANDOOREN, P .

INTERNATIONAL JOURNAL OF CONTROL, 1985, 41 (05) :1129-1155

[10]

Lancaster P., 2005, A note on weak and strong linearizations of regular matrix polynomials

← 1 2 →