Proportional Observer for the Nonlinear Parameter Varying Systems: A Matrix-Multiplier-based LMI Approach

This article delves into the design of a proportional observer scheme for a class of Nonlinear Parameter-Varying (NLPV) systems. The objective is to formulate a less conservative Linear Matrix Inequality (LMI) condition than the existing ones, ensuring the exponential stability of the error dynamics...

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Bibliographic Details
Published in:IFAC-PapersOnLine 2024, Vol.58 (21), p.286-291
Main Authors: Mohite, Shivaraj, Alma, Marouane, Bajcinca, Naim
Format: Article
Language:English
Subjects:
Linear Matrix Inequalities (LMIs)
Nonlinear Parameter-Varying (NLPV) systems
Proportional observers
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Summary:This article delves into the design of a proportional observer scheme for a class of Nonlinear Parameter-Varying (NLPV) systems. The objective is to formulate a less conservative Linear Matrix Inequality (LMI) condition than the existing ones, ensuring the exponential stability of the error dynamics in the proposed observer. Through the incorporation of the reformulated Lipschitz property, Young's inequalities and a generalized matrix multiplier, two new LMI conditions are established. Due to the judicious use of these mathematical tools, the obtained LMI conditions contain a larger number of decision variables. As a result, these LMIs have enhanced feasibility than the one presented in the literature. The effectiveness of the newly designed LMI-based proportional observer is highlighted through a numerical example.
ISSN:2405-8963
2405-8963
DOI:10.1016/j.ifacol.2024.10.227