TY - JOUR
T1 - Estimation of solutions of observable nonlinear systems with disturbances
AU - Mazenc, Frédéric
AU - Fridman, Emilia
AU - Djema, Walid
N1 - Publisher Copyright:
© 2015 Elsevier B.V. All rights reserved.
PY - 2015/5
Y1 - 2015/5
N2 - Abstract A family of continuous-time observable nonlinear systems with input and output is considered. A new technique of estimation of the state variables is proposed. It relies on the use of past values of the output, as done to construct some observers which converge in finite time, and on a recent technical result pertaining to the theory of the monotone systems. It applies to systems with additive disturbances and disturbances in the output. The nonlinear terms are not supposed to be globally Lipschitz, but it is requested that they depend only on the input and output variables.
AB - Abstract A family of continuous-time observable nonlinear systems with input and output is considered. A new technique of estimation of the state variables is proposed. It relies on the use of past values of the output, as done to construct some observers which converge in finite time, and on a recent technical result pertaining to the theory of the monotone systems. It applies to systems with additive disturbances and disturbances in the output. The nonlinear terms are not supposed to be globally Lipschitz, but it is requested that they depend only on the input and output variables.
KW - Delay
KW - Finite time observer
KW - Robustness
KW - State estimation
UR - http://www.scopus.com/inward/record.url?scp=84926355729&partnerID=8YFLogxK
U2 - 10.1016/j.sysconle.2015.03.004
DO - 10.1016/j.sysconle.2015.03.004
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AN - SCOPUS:84926355729
VL - 79
SP - 47
EP - 58
JO - Systems and Control Letters
JF - Systems and Control Letters
SN - 0167-6911
ER -