The Robust Pole Assignment Problem for Second-Order Systems

被引:9
作者
Liu, Hao [1 ]
机构
[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Peoples R China
基金
中国国家自然科学基金;
关键词
EIGENSTRUCTURE ASSIGNMENT; NUMERICAL-METHODS;
D O I
10.1155/2010/796143
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Pole assignment problems are special algebraic inverse eigenvalue problems. In this paper, we research numerical methods of the robust pole assignment problem for second-order systems. The problem is formulated as an optimization problem. Depending upon whether the prescribed eigenvalues are real or complex, we separate the discussion into two cases and propose two algorithms for solving this problem. Numerical examples show that the problem of the robust eigenvalue assignment for the quadratic pencil can be solved effectively.
引用
收藏
页数:13
相关论文
共 16 条
[1]  
[Anonymous], 2001, Contemporary Mathematics
[2]   Robust and minimum norm partial quadratic eigenvalue assignment in vibrating systems: A new optimization approach [J].
Bai, Zheng-Jian ;
Datta, Biswa Nath ;
Wang, Jinwei .
MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2010, 24 (03) :766-783
[3]   Numerically robust pole assignment for second-order systems [J].
Chu, EK ;
Datta, BN .
INTERNATIONAL JOURNAL OF CONTROL, 1996, 64 (06) :1113-1127
[4]   Partial eigenstructure assignment for the quadratic pencil [J].
Datta, BN ;
Elhay, S ;
Ram, YM ;
Sarkissian, DR .
JOURNAL OF SOUND AND VIBRATION, 2000, 230 (01) :101-110
[5]   RELATIONS AMONG M-SETS OF MEASURES [J].
HORST, P .
PSYCHOMETRIKA, 1961, 26 (02) :129-149
[6]   ROBUST POLE ASSIGNMENT IN LINEAR STATE FEEDBACK [J].
KAUTSKY, J ;
NICHOLS, NK ;
VANDOOREN, P .
INTERNATIONAL JOURNAL OF CONTROL, 1985, 41 (05) :1129-1155
[7]   CONTROLLABILITY AND OBSERVABILITY CRITERIA FOR MULTIVARIABLE LINEAR 2ND-ORDER MODELS [J].
LAUB, AJ ;
ARNOLD, WF .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1984, 29 (02) :163-165
[8]  
Luenberger D., 1974, Introduction to linear & nonlinear programming
[9]   Robust eigenstructure assignment in quadratic matrix polynomials: Nonsingular case [J].
Nichols, NK ;
Kautsky, J .
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2001, 23 (01) :77-102
[10]   Robust partial eigenvalue assignment problem for the second-order system [J].
Qian, J ;
Xu, SF .
JOURNAL OF SOUND AND VIBRATION, 2005, 282 (3-5) :937-948