Title
Robust state estimation and unknown inputs reconstruction for a class of nonlinear systems: Multiobjective approach
Abstract
We consider a novel method to design H∞ observers for a class of uncertain nonlinear systems subject to unknown inputs. First, the main system dynamics are rewritten as an augmented system with state vector including both the state vector of the main system and the unknown inputs. Then, we design a H∞ reduced-order observer to estimate both state variables and unknown inputs simultaneously. Based on a Lyapunov functional, we derive a sufficient condition for existence of the designed observer which requires solving a nonlinear matrix inequality. To facilitate the observer design, the achieved condition is formulated in terms of a set of linear matrix inequalities (LMI). By extending the proposed method to a multiobjective optimization problem, the maximum bound of the uncertainty and the minimum value of the disturbance attenuation level are found. Finally, the proposed observer is illustrated with an example.
Year
DOI
Venue
2016
10.1016/j.automatica.2015.10.051
Automatica
Keywords
Field
DocType
H∞ observer design,Nonlinear systems,Unknown inputs reconstruction,Multiobjective optimization
Mathematical optimization,State vector,Nonlinear system,Control theory,Matrix (mathematics),Multi-objective optimization,State variable,System dynamics,Observer (quantum physics),Lyapunov functional,Mathematics
Journal
Volume
Issue
ISSN
64
1
0005-1098
Citations 
PageRank 
References 
10
0.52
9
Authors
4
Name
Order
Citations
PageRank
Saleh S. Delshad1162.05
Andreas Johansson2506.91
Mohamed Darouach326142.82
Thomas Gustafsson4151.52