Open AccessControl scheme for LTI systems with Lipschitz non‐linearity and unknown time‐varying input delay
Author(s) -
Wang Chunyan,
Zuo Zongyu,
Ding Zhengtao
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.2017.0286
Subject(s) - control theory (sociology) , lipschitz continuity , linearity , mathematics , bounded function , stability (learning theory) , lti system theory , controller (irrigation) , range (aeronautics) , linear system , computer science , control (management) , mathematical analysis , engineering , agronomy , artificial intelligence , machine learning , aerospace engineering , electrical engineering , biology
In this study, the authors propose a control structure for a class of linear time‐invariant (LTI) systems with Lipschitz non‐linearity and unknown time‐varying input delay. This scheme considers the worst‐case scenario in control design with truncated prediction feedback approach, and takes into account the information of the lower bound of delay in the stability analysis. A finite‐dimensional controller is constructed, requiring neither the non‐linear function nor the exact delay function. The truncated prediction deviation is minimised by employing the delay range, and then bounded by integral construction and related techniques. Within the framework of Lyapunov–Krasovskii functionals, sufficient delay–range‐dependent conditions are derived for the closed‐loop system to guarantee the global stability. Two numerical examples are given to validate the proposed control design.