Composite Observer of a Linear Time-Varying Singularly Perturbed System with Quasidifferentiable Coefficients

For a linear time-varying singularly perturbed system with a small parameter μ for a part of derivatives and quasi-differentiable coefficients, existence conditions are established and μ-asymptotic composite full- and reduced-order observers are constructed. The error in estimating a state with an a...

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Bibliographic Details
Published in:Automation and remote control Vol. 85; no. 4; pp. 341 - 356
Main Author: Tsekhan, O. B.
Format: Journal Article
Language:English
Published: Moscow Pleiades Publishing 01.04.2024
Springer Nature B.V
Subjects:
CAE) and Design
Calculus of Variations and Optimal Control; Optimization
Computer-Aided Engineering (CAD
Control
Decay rate
Linear Systems
Mathematics
Mathematics and Statistics
Mechanical Engineering
Mechatronics
Parameters
Robotics
Singular perturbation
Subsystems
Systems Theory
robust observer
quasi-differentiability
time-varying singularly perturbed system
ISSN:0005-1179, 1608-3032
Online Access:Get full text
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Summary:For a linear time-varying singularly perturbed system with a small parameter μ for a part of derivatives and quasi-differentiable coefficients, existence conditions are established and μ-asymptotic composite full- and reduced-order observers are constructed. The error in estimating a state with an arbitrary predetermined exponential decay rate converges to an infinitesimal value of the same order of smallness as the small parameter. The observer gain vector are expressed in terms of the gain vectors of subsystems of smaller dimension than the original one and independent of the small parameter, and the parameters of the original system are subject to weaker requirements than those previously known. A constructive algorithm for calculating the gain vector of a composite observer is presented.
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ISSN:0005-1179
1608-3032
DOI:10.1134/S0005117924040064