Title :
Mixed H2/H∞ control problem for descriptor systems via LMI
Author :
Sato, Kazuya ; Oya, Masahiro ; Kobayashi, Toshihiro
Author_Institution :
Saga Univ., Japan
Abstract :
This paper considers the mixed H2/H∞ control problem for descriptor systems. First, we show the H2 and H∞ norms for descriptor systems. We define the mixed H2/H∞ performance cost subject to a constraint on the H∞ norm. We also show that the mixed H2/H∞ performance cost over all static descriptor variable feedback controllers can not be improved by the use of dynamic controllers. Besides, we show that the appropriate feedback gains can be obtained by solving LMI
Keywords :
H∞ control; Lyapunov methods; feedback; linear systems; matrix algebra; multidimensional systems; H∞ norm; LMI; descriptor systems; feedback gains; linear matrix inequalities; mixed H2/H∞ control problem; performance cost; variable feedback controllers; Constraint optimization; Control systems; Cost function; Hydrogen; Performance loss; Riccati equations; Upper bound;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.650616
