TY - JOUR
T1 - State estimation for a class of uncertain nonlinear systems
T2 - a finite-time observer approach
AU - Ríos, Héctor
N1 - Publisher Copyright:
© 2020 Informa UK Limited, trading as Taylor & Francis Group.
PY - 2022
Y1 - 2022
N2 - In this paper, the problem of state estimation for a class of uncertain, and possibly unbounded, nonlinear systems is tackled. In order to deal with such a problem, a nonlinear observer is proposed based on a continuous homogeneous and Levant's nth order differentiators. The proposed nonlinear observer provides finite-time convergence and the observer synthesis is formulated in terms of some linear matrix inequalities (LMIs). Moreover, contrary to what the literature shows, the finite-time observer does not require any type of Bounded-Input Bounded-State (BIBS) condition. Some simulation results illustrate the effectiveness of the proposed finite-time observer applied to an unstable nonlinear system.
AB - In this paper, the problem of state estimation for a class of uncertain, and possibly unbounded, nonlinear systems is tackled. In order to deal with such a problem, a nonlinear observer is proposed based on a continuous homogeneous and Levant's nth order differentiators. The proposed nonlinear observer provides finite-time convergence and the observer synthesis is formulated in terms of some linear matrix inequalities (LMIs). Moreover, contrary to what the literature shows, the finite-time observer does not require any type of Bounded-Input Bounded-State (BIBS) condition. Some simulation results illustrate the effectiveness of the proposed finite-time observer applied to an unstable nonlinear system.
KW - Sliding-mode observer
KW - finite-time convergence
KW - nonlinear systems
UR - http://www.scopus.com/inward/record.url?scp=85094658086&partnerID=8YFLogxK
U2 - 10.1080/00207179.2020.1837961
DO - 10.1080/00207179.2020.1837961
M3 - Artículo
AN - SCOPUS:85094658086
SN - 0020-7179
VL - 95
SP - 1051
EP - 1059
JO - International Journal of Control
JF - International Journal of Control
IS - 4
ER -