Title :
H∞ control for descriptor systems-a J-spectral factorization approach
Author :
Takaba, Kiyotsugu ; Morihira, Naoki ; Katayama, Tohru
Author_Institution :
Dept. of Appl. Math. & Phys., Kyoto Univ., Japan
Abstract :
This paper considers H∞ control for the plant represented by the descriptor form. Using a descriptor version of Youla parametrization, the standard H∞ control problem reduces to a model matching problem (MMP). The J-spectral factorization algorithm in descriptor form is then applied for solving the MMP. The present approach can solve a wider class of H∞ control problems than the state-space approach. A numerical example also shows the applicability of the present approach
Keywords :
H∞ control; Riccati equations; matrix decomposition; H∞ control; J-spectral factorization approach; Youla parametrization; descriptor systems; model matching problem; Control systems; Control theory; Eigenvalues and eigenfunctions; H infinity control; Mathematics; Modeling; Physics; Poles and zeros; Riccati equations; Robust control;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411484
