Title :
A simple derivation of ARE solutions to the standard H∞control problem based on LMI solution
Author :
Liu, Kang-Zhi ; He, Rong
Author_Institution :
Dept. of Electr. & Mech. Eng., Chiba Univ., Japan
Abstract :
In this paper, a simple derivation of the Riccati equation based solutions to the standard H∞ control problem, namely the well-known Glover-Doyle solution and DGKF solution is given based on LMI solution. It is hoped that this will be helpful for ordinary control engineers in deepening the understanding of Riccati equation solutions.
Keywords :
H∞ control; Riccati equations; linear matrix inequalities; H∞control; LMI solution; Riccati equation; linear matrix inequalities; Bismuth; Controllability; Linear matrix inequalities; Matrix decomposition; Observability; Riccati equations;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1272861
