Open AccessModulating function‐based fast convergent observer and output feedback control for a class of non‐linear systems
Author(s) -
Djennoune Said,
Bettayeb Maamar,
AlSaggaf Ubaid M.
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.2018.5313
Subject(s) - control theory (sociology) , observer (physics) , separation principle , affine transformation , mathematics , controller (irrigation) , transformation (genetics) , bounded function , singularity , convergence (economics) , linear system , state observer , computer science , nonlinear system , control (management) , mathematical analysis , physics , quantum mechanics , artificial intelligence , biology , biochemistry , chemistry , gene , pure mathematics , agronomy , economics , economic growth
In this study, a new observer for a class of non‐linear single input/single output systems is proposed. This observer is based on a modulating function with time/output dependent coordinates transformation which transforms the original system into a like‐type observer canonical form. In the new coordinates, the initial conditions are annihilated. This property permits to construct a fast convergent deadbeat observer activated after an time delay chosen in order to avoid the singularity of the transformation at the initial time t = t 0 . The finite‐time convergence of the observer is established, i.e. it is shown that the estimation error is bounded in finite time. The proposed observer is used in an output feedback controller design. Using the already established results on the output feedback stabilisation of non‐linear input‐affine systems, the separation principle is addressed here and the authors show that output feedback controller guarantees under certain conditions the stability of the closed‐loop system. Two numerical examples are given to illustrate the effectiveness of the proposed observer‐based output feedback controller.