Joint Sensor Selection and Observer Design for Positive Systems via Mixed-Integer Semidefinite Programming

This letter addresses the joint sensor selection and observer design problem for positive systems. The proposed methodology leverages Mixed-Integer Semidefinite Programming (MISDP) techniques, providing a rigorous and systematic framework for optimizing the selection of sensors and the design of the...

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Bibliographic Details
Published in:IEEE control systems letters Vol. 8; pp. 700 - 705
Main Authors: Gagliardi, Gianfranco, Torchiaro, Franco Angelo, Casavola, Alessandro
Format: Journal Article
Language:English
Published: IEEE 2024
Subjects:
Convex optimization
Linear matrix inequalities
L₁ positive observers
Measurement uncertainty
mixed integer programming
Observers
Optimization
Performance analysis
positive system
Semidefinite programming
sensor selection
Vectors
ISSN:2475-1456, 2475-1456
Online Access:Get full text
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Summary:This letter addresses the joint sensor selection and observer design problem for positive systems. The proposed methodology leverages Mixed-Integer Semidefinite Programming (MISDP) techniques, providing a rigorous and systematic framework for optimizing the selection of sensors and the design of the corresponding optimal <inline-formula> <tex-math notation="LaTeX">L_{1} </tex-math></inline-formula> observer in a unified manner. This configuration not only enables the reconstruction of the full state with a minimal number of sensors but also optimizes specific state reconstruction metrics with the objective of enhancing the efficiency, reliability, and robustness of the scheme. The theoretical validation of the sensor placement's optimality is also provided and its relevance is demonstrated through numerical simulations and comparisons with <inline-formula> <tex-math notation="LaTeX">H_{2} </tex-math></inline-formula> observers.
ISSN:2475-1456
2475-1456
DOI:10.1109/LCSYS.2024.3403540