Robust output-control for uncertain linear systems: Homogeneous differentiator-based observer approach

H. Ríos; M. Mera; D. Efimov; A. Polyakov

doi:10.1002/rnc.3643

Robust output-control for uncertain linear systems: Homogeneous differentiator-based observer approach

H. Ríos, M. Mera, D. Efimov, A. Polyakov

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10 Scopus citations

Abstract

This paper deals with the design of a robust control for linear systems with external disturbances using a homogeneous differentiator-based observer based on a implicit Lyapunov function approach. Sufficient conditions for stability of the closed-loop system in the presence of external disturbances are obtained and represented by linear matrix inequalities. The parameter tuning for both controller and observer is formulated as a semi-definite programming problem with linear matrix inequalities constraints. Simulation results illustrate the feasibility of the proposed approach and some improvements with respect to the classic linear observer approach.

Original language	English
Pages (from-to)	1895-1914
Number of pages	20
Journal	International Journal of Robust and Nonlinear Control
Volume	27
Issue number	11
DOIs	https://doi.org/10.1002/rnc.3643
State	Published - 25 Jul 2017

Bibliographical note

Funding Information:
This work was supported in part by the Government of Russian Federation (grant 074-U01) and the Ministry of Education and Science of Russian Federation (project 14.Z50.31.0031).

Publisher Copyright:
Copyright © 2016 John Wiley & Sons, Ltd.

Keywords

closed-loop stability
homogeneous differentiator
uncertain linear systems

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10.1002/rnc.3643

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abstract = "This paper deals with the design of a robust control for linear systems with external disturbances using a homogeneous differentiator-based observer based on a implicit Lyapunov function approach. Sufficient conditions for stability of the closed-loop system in the presence of external disturbances are obtained and represented by linear matrix inequalities. The parameter tuning for both controller and observer is formulated as a semi-definite programming problem with linear matrix inequalities constraints. Simulation results illustrate the feasibility of the proposed approach and some improvements with respect to the classic linear observer approach.",

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AU - Mera, M.

AU - Efimov, D.

AU - Polyakov, A.

PY - 2017/7/25

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N2 - This paper deals with the design of a robust control for linear systems with external disturbances using a homogeneous differentiator-based observer based on a implicit Lyapunov function approach. Sufficient conditions for stability of the closed-loop system in the presence of external disturbances are obtained and represented by linear matrix inequalities. The parameter tuning for both controller and observer is formulated as a semi-definite programming problem with linear matrix inequalities constraints. Simulation results illustrate the feasibility of the proposed approach and some improvements with respect to the classic linear observer approach.

AB - This paper deals with the design of a robust control for linear systems with external disturbances using a homogeneous differentiator-based observer based on a implicit Lyapunov function approach. Sufficient conditions for stability of the closed-loop system in the presence of external disturbances are obtained and represented by linear matrix inequalities. The parameter tuning for both controller and observer is formulated as a semi-definite programming problem with linear matrix inequalities constraints. Simulation results illustrate the feasibility of the proposed approach and some improvements with respect to the classic linear observer approach.

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ER -

Robust output-control for uncertain linear systems: Homogeneous differentiator-based observer approach

Abstract

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Keywords

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