Title :
Semi-global L2 gain analysis for kth-degree systems based on reachable set analysis
Author :
Sato, Yoko ; Watanabe, Ryo ; Uchida, Kenko
Author_Institution :
Dept. of Electr., Electron. & Comput. Eng., Waseda Univ., Tokyo, Japan
Abstract :
In this paper, we define the kth-degree system which is regarded as Taylor series up to the kth-degree term for the nonlinear system, and propose an analysis technique of the semi-global L2 gains based on the reachable set analysis for the kth-degree systems with the constraint sets on the disturbances. In this technique, the upper bounds of the semi-global L2 gains are obtained by solving linear matrix inequalities. We also illustrate the effectiveness of the proposed method with a numerical example
Keywords :
H∞ control; control system analysis; matrix algebra; nonlinear control systems; series (mathematics); LMI; Taylor series; linear matrix inequalities; nonlinear H∞ control; nonlinear system; reachable set analysis; semi-global L2 gain analysis; Control systems; Jacobian matrices; Mechanical systems; Nonlinear control systems; Nonlinear equations; Nonlinear systems; Systems engineering and theory; Taylor series; Uncertainty; Upper bound;
Conference_Titel :
American Control Conference, 1998. Proceedings of the 1998
Conference_Location :
Philadelphia, PA
Print_ISBN :
0-7803-4530-4
DOI :
10.1109/ACC.1998.707349
