State Estimation via Observers with Unknown Inputs: Application to a Particular Class of Uncertain Takagi-Sugeno Systems | Zendy

Wafa Jamel | Zendy; Atef Khedher | Zendy; Nasreddine Bouguila | Zendy; Kamel Ben Othman | Zendy

Open Access

State Estimation via Observers with Unknown Inputs: Application to a Particular Class of Uncertain Takagi-Sugeno Systems

Author(s) -

Wafa Jamel,

Atef Khedher,

Nasreddine Bouguila,

Kamel Ben Othman

Publication year - 2010

Publication title -

studies in informatics and control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.321

H-Index - 22

eISSN - 1841-429X

pISSN - 1220-1766

DOI - 10.24846/v19i3y201002

Subject(s) - computer science , class (philosophy) , state (computer science) , control theory (sociology) , estimation , artificial intelligence , algorithm , control (management) , management , economics

This paper deals with the design of a multiple observer allowing estimating the state vector of a nonlinear system described by a Takagi-Sugeno multiple model subject to modelling and input uncertainties which are considered as unknown inputs. The main contribution of the paper is the conception of a multiple observer based on the elimination of these unknown inputs. Convergence conditions are established in order to guarantee the convergence of the state estimation error. These conditions are expressed in Linear Matrix Inequality (LMI) formulation. An example of simulation is given to illustrate the proposed method.

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