Input recovery for a class of nonlinear multimodel system: An LMI approach

Author

Hua, Yunjie ; Boutayeb, Mohamed ; Bara, G.I. ; Laroche, Edouard

Author_Institution

Lab. des Sci. de l´´Image de l´´Inf. et de la Teledetection, Louis Pasteur Univ., Strasbourg

fYear

2008

fDate

25-27 June 2008

Firstpage

1405

Lastpage

1410

Abstract

In this note, we investigate the problem of state observation and input recovery of a particular class of nonlinear systems based on multi-models with unknown input. For this particular system and a corresponding observer structure, an original set of sufficient LMI conditions are derived from the Lyapunov theory, allowing to compute the gains of the observers and assuring asymptotic convergence. A numerical example is given in the context of secure communication, showing the practical interest of the method.

Keywords

Lyapunov methods; asymptotic stability; discrete time systems; linear matrix inequalities; nonlinear control systems; observers; Lyapunov theory; asymptotic convergence; discrete time system; input recovery; linear matrix inequality; nonlinear multimodel system; observer structure; state observation problem; Automatic control; Automation; Context; Control systems; Convergence; Cryptography; Linear matrix inequalities; Nonlinear control systems; Nonlinear systems; Observers; Discrete-time multimodel system; Lipschitz nonlinear system; Unknown input observer; linear matrix inequalities;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Automation, 2008 16th Mediterranean Conference on

Conference_Location

Ajaccio

Print_ISBN

978-1-4244-2504-4

Electronic_ISBN

978-1-4244-2505-1

Type

conf

DOI

10.1109/MED.2008.4602094

Filename

4602094