• Aucun résultat trouvé

On the Unknown Input Functional Observers Design: a Polytopic Takagi-Sugeno Approach

N/A
N/A
Info
Télécharger
Protected

Academic year: 2021

Partager "On the Unknown Input Functional Observers Design: a Polytopic Takagi-Sugeno Approach"

Copied!
1
0
0

Chargement.... (Voir le texte intégral maintenant)

Texte intégral

(1)

On the Unknown Input Functional Observers Design:

a Polytopic Takagi-Sugeno Approach

Souad Bezzaoucha

1

, Holger Voos

1

and Mohamed Darouach

2

Abstract— In this paper, a step by step algorithm is given to design functional unknown input observer for continuous nonlinear systems under the Polytopic Takagi-Sugeno (T-S) framework. To nullify the effect of unknown input (UI), classical approach of decoupling the UI for the linear case is extended to the polytopic system. Applying the Lyapunov theory and the L2 attenuation, Linear Matrix Inequalities (LMI)s conditions are achieved which are solved for feasibility to obtain observer design matrices. The novelty of the proposed approach consists in solving simultaneously both structural constraints and LMIs, which ensure a mean for the efficient design of the gains of the observers. To illustrate the proposed theoretical results, simulation example of a Waste Water Treatment Plant (WWTP), which is highly nonlinear and represented in a T- S polytopic form with unmeasurable premise variables and unknown inputs, is discussed.

1Souad Bezzaoucha and Holger Voos are with the Interdisciplinary Centre for Security, Reliability and Trust (SnT), Automatic Control Research Group, University of Luxembourg, Campus Kirchberg, 6 rue Coudenhove-Kalergi L-1359, Luxembourgsouad.bezzaoucha, holger.voos@uni.lu

2Mohamed Darouach is with the Research Center for Auto- matic Control of Nancy (CRAN), Universit´e de Lorraine, IUT de Longwy, 186 rue de Lorraine, 54400 Cosnes et Romain, France mohamed.darouach@univ-lorraine.fr

Références

Télécharger maintenant ( PDF - 1 Page - 72.04 KB )

Documents relatifs

On the unknown input observer design : a decoupling class approach

Sufficient existence conditions of the unknown inputs decoupling observers are given and strict linear matrix inequalities are solved to determine the gain of the observers so that

Observer-based controller for Takagi-Sugeno models

In the section 4.2 a procedure to design a stabilising output feedback controller when the decision variables depend on the state variables estimated by the T-S observer is

Design of an active fault tolerant control and polytopic unknown input observer for systems described by a multi-model representation

Design of an Active Fault Tolerant Control and Polytopic Unknown Input Observer for Systems described by a Multi-Model Representation.. Micka¨el Rodrigues, Didier Theilliol

Embedded P.E.M. fuel cell stack nonlinear observer by means of a Takagi-Sugeno approach

Keywords: nonlinear state estimation, PEM fuel cell, Takagi Sugeno, unmeasurable premise variables, embedded observer, hardware in the loop validation.. Author 1 Severus

Design of observers for Takagi-Sugeno systems with immeasurable premise variables : an L2 approach

In (Akhenak, 2004) and (Akhenak et al., 2007) observers with sliding mode developed for the linear systems, were transposed to the systems described by multiple model.. The

Finsler-based Sampled-data Controller Design for Takagi-Sugeno Systems

In this context, an elegant and powerful way to design such controllers consists is rewriting the closed-loop dynamics as a continuous-time system with input time-varying delay,

A canonical form for the design of unknown input sliding mode observers

Using the same design theory as variable struc- ture control laws, the observer trajectories are constrained to evolve after a finite time on a suitable sliding manifold, by the use

Advances in observer design for Takagi-Sugeno systems with unmeasurable premise variables

the establishing of relaxed stability conditions by the use of a nonquadratic Lyapunov function, the increasing of the maximal admissible Lipschitz constant allowing to obtain