Title :
A class of nonlinear robust H∞ controllers via NLMI approach
Author :
Ishii, Chiharu ; Shen, Tielong ; Tamura, Katsutoshi
Author_Institution :
Dept. of Mech. Eng., Sophia Univ., Tokyo, Japan
Abstract :
In this paper, we consider a state feedback H∞, control problem for a nonlinear system with gain bounded perturbations. We derive nonlinear matrix inequality (NLMI) conditions which are equivalent to a sufficient condition for the existence of a solution of a nonlinear robust H∞ control problem. Then a set of a certain class of nonlinear robust H∞ controllers is parametrized in the state space using a matrix valued function L(x) of fixed dimension with a norm bound and the positive definite solutions to the NLMIs
Keywords :
H∞ control; matrix algebra; nonlinear control systems; robust control; state feedback; NLMI approach; gain bounded perturbations; matrix valued function; nonlinear matrix inequality; nonlinear robust H∞ controllers; nonlinear system; norm bound; positive definite solutions; state feedback H∞ control problem; state space; sufficient condition; Linear matrix inequalities; Robust control; Uncertain systems;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.577241
