LMI-based H∞ nonlinear state observer design for anaerobic digestion model

This note deals with the design of an H ∞ nonlinear state observer for the anaerobic digestion model. Positively, the designed observer is an unified one that can be used for different class of systems, mainly linear systems, Linear Parameter Varying (LPV) systems with known and bounded parameters,...

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Bibliographic Details
Published in2017 25th Mediterranean Conference on Control and Automation (MED) pp. 678 - 683
Main Authors Draa, K. Chaib, Voos, H., Alma, M., Zemouche, A., Darouach, M.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.07.2017
Subjects
Anaerobic digestion
Biological system modeling
Convergence
Estimation error
HL Criterion
LMIs
Mathematical model
Microorganisms
Nonlinear systems
Observer design
Observers
Production
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Summary:This note deals with the design of an H ∞ nonlinear state observer for the anaerobic digestion model. Positively, the designed observer is an unified one that can be used for different class of systems, mainly linear systems, Linear Parameter Varying (LPV) systems with known and bounded parameters, and nonlinear Lipschitz systems. Applying the Lyapunov theory and the H ∞ criterion, Linear Matrix Inequality (LMI) condition is synthesised and solved to obtain the designed observer gains. The novelty of our work consists in the relaxation of the synthesized LMI condition through the inclusion of additional decision variables. This was possible due to the use of a suitable reformulation of the Young's inequality. Stability, effectiveness and potency of the theoretical results are confirmed by the simulation results.
ISSN:2473-3504
DOI:10.1109/MED.2017.7984196