Matrix inequality-based observer design for a class of distributed transport-reaction systems

Alexander Schaum; Jaime A. Moreno; Emilia Fridman; Jesus Alvarez

doi:10.1002/rnc.2981

Matrix inequality-based observer design for a class of distributed transport-reaction systems

Alexander Schaum, Jaime A. Moreno, Emilia Fridman, Jesus Alvarez

School of Electrical Engineering

Tel Aviv University

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

Abstract

The problem of designing a globally exponentially convergent observer for a class of (linear in transport and nonlinear in generation) semi-linear parabolic distributed systems is addressed within a matrix inequality framework, yielding (i) sufficient convergence conditions with physical meaning and (ii) the weight of a Lyapunov functional as design degree of freedom. The proposed approach is illustrated and tested with a representative case example in chemical reaction engineering.

Original language	English
Pages (from-to)	2213-2230
Number of pages	18
Journal	International Journal of Robust and Nonlinear Control
Volume	24
Issue number	16
DOIs	https://doi.org/10.1002/rnc.2981
State	Published - 10 Nov 2014

Keywords

Matrix inequalities
Nonlinear observer design
Semi-linear parabolic systems
Transport-reaction systems

All Science Journal Classification (ASJC) codes

General Chemical Engineering
Mechanical Engineering
Aerospace Engineering
Electrical and Electronic Engineering
Control and Systems Engineering
Industrial and Manufacturing Engineering
Biomedical Engineering

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10.1002/rnc.2981

Cite this

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abstract = "The problem of designing a globally exponentially convergent observer for a class of (linear in transport and nonlinear in generation) semi-linear parabolic distributed systems is addressed within a matrix inequality framework, yielding (i) sufficient convergence conditions with physical meaning and (ii) the weight of a Lyapunov functional as design degree of freedom. The proposed approach is illustrated and tested with a representative case example in chemical reaction engineering.",

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author = "Alexander Schaum and Moreno, \{Jaime A.\} and Emilia Fridman and Jesus Alvarez",

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AB - The problem of designing a globally exponentially convergent observer for a class of (linear in transport and nonlinear in generation) semi-linear parabolic distributed systems is addressed within a matrix inequality framework, yielding (i) sufficient convergence conditions with physical meaning and (ii) the weight of a Lyapunov functional as design degree of freedom. The proposed approach is illustrated and tested with a representative case example in chemical reaction engineering.

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Matrix inequality-based observer design for a class of distributed transport-reaction systems

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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