Title :
On an explicit expression to compute H∞ norm of symmetric systems
Author :
Gao, Lixin ; Xue, Anke ; Sun, Youxian
Author_Institution :
Nat. Lab. of Ind. Control Technol., Zhejiang Univ., Hangzhou, China
Abstract :
In this paper, an explicit expression to compute H∞ norm, which is recently obtained for continuous-time state-space symmetric systems by using a particular solution of the bounded real lemma for a symmetric system, is extended to more general case of continuous-time symmetric systems and also to discrete-time symmetric systems. The computations of H∞ norm only need to compute the maximum eigenvalue of a symmetric matrix, which only contains the system matrices.
Keywords :
H∞ control; continuous time systems; discrete time systems; eigenvalues and eigenfunctions; matrix algebra; state-space methods; H∞ norm computation; bounded real lemma; continuous-time state-space symmetric systems; discrete-time symmetric systems; maximum eigenvalue; symmetric matrix; Control system synthesis; Eigenvalues and eigenfunctions; Linear matrix inequalities; Matrix decomposition; Open loop systems; Output feedback; Riccati equations; Singular value decomposition; Sun; Symmetric matrices;
Conference_Titel :
American Control Conference, 2003. Proceedings of the 2003
Print_ISBN :
0-7803-7896-2
DOI :
10.1109/ACC.2003.1240496
