Open AccessInput‐to‐state stabilisation for a general non‐linear system with time‐varying input delay
Author(s) -
Cai Xiushan,
Meng Lingxin,
Lin Cong,
Zhang Wei,
Liu Leibo
Publication year - 2017
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2017.0318
Subject(s) - control theory (sociology) , backstepping , state (computer science) , linear system , equivalence (formal languages) , transformation (genetics) , stability (learning theory) , computer science , nonlinear system , mathematics , control (management) , adaptive control , algorithm , mathematical analysis , artificial intelligence , biochemistry , chemistry , physics , discrete mathematics , machine learning , quantum mechanics , gene
The authors investigate input‐to‐state stabilisation for a general non‐linear system with input delay and disturbance. With an infinite‐dimensional backstepping transformation, the original system is transferred to a target system. A delay‐compensating and disturbances attenuating control law is designed for this kind of non‐linear systems. Stability of the target system is first proved by constructing a Lyapunov functional. Equivalence of norms for original and target system is deduced. Further, input‐to‐state stabilisation for the original system under the delay‐compensating control law is drawn.