L∞-Norm Computation for Continuous-Time Descriptor Systems Using Structured Matrix Pencils

被引:33
作者
Benner, Peter [1 ]
Sima, Vasile [2 ]
Voigt, Matthias [1 ]
机构
[1] Max Planck Inst Dynam Complex Tech Syst, D-39106 Magdeburg, Germany
[2] Natl Inst Res & Dev Informat, Adv Res Dept, Bucharest 011455, Romania
关键词
Continuous time systems; H-infinity control; numerical stability; singular systems; skew-Hamiltonian/Hamiltonian matrix pencils; transfer function matrices; ALGORITHM; EQUATION;
D O I
10.1109/TAC.2011.2161833
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this technical note, we discuss an algorithm for the computation of the L-infinity-norm of transfer functions related to descriptor systems. We show how one can achieve this goal by computing the eigenvalues of certain skew-Hamiltonian/Hamiltonian matrix pencils and analyze arising problems. We also formulate and prove a theoretical result which serves as a basis for testing a transfer function matrix for properness. Finally, we illustrate our results using a descriptor system related to mechanical engineering.
引用
收藏
页码:236 / 241
页数:7
相关论文
共 26 条
[21]   On some norms for descriptor systems [J].
Stykel, Tatjana .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (05) :842-847
[22]   The inverse of any two-by-two nonsingular partitioned matrix and three matrix inverse completion problems [J].
Tian, Yongge ;
Takane, Yoshio .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 57 (08) :1294-1304
[23]  
VARGA A, 1990, KYBERNETIKA, V26, P89
[24]  
VOIGT M, 2010, THESIS MAGDEBURG
[25]   On equivalence of pencils from discrete-time and continuous-time control [J].
Xu, HG .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2006, 414 (01) :97-124
[26]  
Zhou K., 1998, Essentials of robust control