Estimation of solutions of observable nonlinear systems with disturbances

Frédéric Mazenc; Emilia Fridman; Walid Djema

doi:10.1016/j.sysconle.2015.03.004

Estimation of solutions of observable nonlinear systems with disturbances

Frédéric Mazenc, Emilia Fridman, Walid Djema

School of Electrical Engineering

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	47-58
Number of pages	12
Journal	Systems and Control Letters
Volume	79
DOIs	https://doi.org/10.1016/j.sysconle.2015.03.004
State	Published - May 2015

Keywords

Delay
Finite time observer
Robustness
State estimation

All Science Journal Classification (ASJC) codes

Mechanical Engineering
General Computer Science
Electrical and Electronic Engineering
Control and Systems Engineering

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10.1016/j.sysconle.2015.03.004

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abstract = "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.",

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doi = "10.1016/j.sysconle.2015.03.004",

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T1 - Estimation of solutions of observable nonlinear systems with disturbances

AU - Mazenc, Frédéric

AU - Fridman, Emilia

AU - Djema, Walid

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

M3 - مقالة

SN - 0167-6911

VL - 79

SP - 47

EP - 58

JO - Systems and Control Letters

JF - Systems and Control Letters

ER -

Estimation of solutions of observable nonlinear systems with disturbances

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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