Title
LMI-Based H-infinity Nonlinear State Observer Design for Anaerobic Digestion Model
Abstract
This note deals with the design of an H-infinity 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-infinity 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.
Year
DOI
Venue
2017
10.1109/MED.2017.7984196
Mediterranean Conference on Control and Automation
Keywords
Field
DocType
Anaerobic digestion,LMIs,Observer design,Nonlinear systems,H-infinity Criterion
State observer,Lyapunov function,Nonlinear system,Linear system,Control theory,Control engineering,Lipschitz continuity,Observer (quantum physics),Mathematics,Linear matrix inequality,Bounded function
Conference
ISSN
Citations 
PageRank 
2325-369X
1
0.41
References 
Authors
2
5
Name
Order
Citations
PageRank
Khadidja Chaib Draa111.42
Holger Voos211834.98
Marouane Alma37311.16
Ali Zemouche423527.91
Mohamed Darouach526142.82