Open AccessNew approach to robust observer‐based control of one‐sided Lipschitz non‐linear systems
Author(s) -
Haiek Badreddine El,
Aiss Hicham El,
Abdelaziz Hmamed,
Hajjaji Ahmed El,
Houssaine Tissir El
Publication year - 2019
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.2018.5389
Subject(s) - lipschitz continuity , quadratic growth , observer (physics) , control theory (sociology) , mathematics , bounded function , linear matrix inequality , bilinear interpolation , robust control , robustness (evolution) , linear system , controller (irrigation) , matrix (chemical analysis) , mathematical optimization , computer science , control (management) , control system , mathematical analysis , engineering , chemistry , biology , biochemistry , quantum mechanics , agronomy , statistics , physics , electrical engineering , gene , materials science , composite material , artificial intelligence
This study investigates the problem of robust observer design for a class of one‐sided non‐linear continuous‐time systems with parameter uncertainties and L 2bounded admissible external disturbance. The one‐sided Lipschitz and quadratically inner‐bounded conditions have been utilised to derive less conservative synthesis condition for the observer design. The corresponding design methodology is established, with the help some special derivations, bilinear matrix inequalities are successfully transformed into a set of linear matrix inequalities. Then, the robust controller and observer gains can be simultaneously found at one step. Finally, two numerical examples are given to illustrate the validity and the effectiveness of the proposed method.