Title :
Design of H∞ control of discrete-time systems with uncertainties
Author :
Gu, Keqin ; Ye, Xiaogang ; Loh, Nan K.
Author_Institution :
Dept. of Mech. Eng., Southern Illinois Univ., Edwardsville, IL, USA
Abstract :
The minimum achievable guaranteed H∞ norm bound is related to the size of uncertainties: the larger the uncertainty size, the larger the minimum achievable H∞ norm. The paper considers the case of discrete-time systems. It is shown that for a very general uncertainty expression, if the state is available for feedback, then the trade-off between this H∞ norm bound and the maximum uncertainty tolerance can be formulated in such a form, that if one of the above two quantities are given, the other quantities can be computed through a quasiconvex optimization process
Keywords :
control system synthesis; discrete time systems; feedback; optimal control; optimisation; H∞ control; discrete-time systems; feedback; maximum uncertainty tolerance; minimum achievable guaranteed H∞ norm bound; quasiconvex optimization process; uncertainties; Attenuation; Automatic control; Control systems; Feedback control; Linear matrix inequalities; Mechanical engineering; Performance analysis; Riccati equations; Robotics and automation; Uncertainty;
Conference_Titel :
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-1298-8
DOI :
10.1109/CDC.1993.325193
