Title :
H∞ control and parametric controllers for descriptor systems
Author :
Zhao, Zhihua ; Zhang, QingLing ; Liu, Xiaodong
Author_Institution :
Coll. of Sci., Northeastern Univ., Shenyang, China
Abstract :
In this paper, we study the existing problem of an H∞ controller for descriptor systems. One necessary and sufficient condition is presented by means of two generalized algebraic Riccati inequalities. Using the method of linear fractional transformation, the controller is parametrized by the admissible solutions to the Riccati inequalities with free parameter Q, a real-rational stable transfer matrix with an H∞ norm less than a specified number.
Keywords :
H∞ control; Riccati equations; closed loop systems; feedback; transfer function matrices; transforms; H∞ control; closed-loop system; descriptor systems; feedback; generalized algebraic Riccati inequality; linear fractional transformation; necessary condition; sufficient condition; transfer matrix; Constraint theory; Control system synthesis; Control systems; Control theory; Educational institutions; Linear matrix inequalities; Modeling; Riccati equations; Robust control; Sufficient conditions;
Conference_Titel :
American Control Conference, 2002. Proceedings of the 2002
Print_ISBN :
0-7803-7298-0
DOI :
10.1109/ACC.2002.1025438
