Open AccessFinite-time stabilization and $H_\infty$ control of nonlinear delay systems via output feedback
Author(s) -
Ta T. H. Trang,
Vũ Ngọc Phát,
Samir Adly
Publication year - 2015
Publication title -
journal of industrial and management optimization
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.325
H-Index - 32
eISSN - 1553-166X
pISSN - 1547-5816
DOI - 10.3934/jimo.2016.12.303
Subject(s) - control theory (sociology) , nonlinear system , interval (graph theory) , output feedback , mathematics , feedback control , lyapunov function , class (philosophy) , control (management) , nonlinear control , computer science , engineering , control engineering , physics , quantum mechanics , combinatorics , artificial intelligence
International audienceThis paper studies the robust finite-time Ho., control for a class of nonlinear systems with time-varying delay and disturbances via output feedback. Based on the Lyapunov functional method and a generalized Jensen integral inequality, novel delay-dependent conditions for the existence of output feedback controllers are established in terms of linear matrix inequalities (LMIs). The proposed conditions allow us to design the output feedback controllers which robustly stabilize the closed-loop system in the finite-time sense. An application to Ho., control of uncertain linear systems with interval time-varying delay is also given. A numerical example is given to illustrate the efficiency of the proposed method