Title :

Observability Analysis and Observer Design for Complex Dynamical Systems

English title :

Observability Analysis and Observer Design for Complex Dynamical Systems

Author(s) :

Zheng, Gang [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Non-Asymptotic estimation for online systems [NON-A]

Thesis director(s) :

Wei Kang
Claude Moog
Bernard Brogliato
Arie Levant
Olivier Colot
Wilfrid Perruquetti
Jean-Pierre Richard

Defence date :

2015-11-26

Accredited body :

Universite Lille 1

Keyword(s) :

TDS
DAE

English keyword(s) :

Observability
Observer

HAL domain(s) :

Informatique [cs]/Automatique

English abstract : [en]

Different types of dynamical systems have been widely used to model different plants tobe controlled in many different disciplines. Although control is the final goal in the controltheory, given a concrete model, the ...
Show more >Different types of dynamical systems have been widely used to model different plants tobe controlled in many different disciplines. Although control is the final goal in the controltheory, given a concrete model, the designed controller sometimes could depend not only onthe output, but also its internal states. This motivates us to study whether it is possible toreconstruct system’s internal states by using external measurements, named as the problemof observability analysis and observer design.This manuscript will summarize our obtained results on observability analysis andobserver design for three types of dynamical systems, respectively in three parts. Part Istudies the observability analysis and observer design for ordinary systems in continuous time,where the differential geometrical approach and the technique of immersion are used to studythe observation problem. Finite-time and interval observers are proposed for time-continuessystems. The second Part of this manuscript concerns the observability analysis and observerdesign for singular system. For linear singular system, the observability will be analyzed byusing elementary algebraic method, while the differential geometrical method is extendedto study nonlinear singular system. Luenberger-like and interval observers are studied fordifferent types nonlinear singular systems. The observability analysis and observer designfor time-delay system is considered in Part III. By introducing delay operator, the backward(causal) and forward (non-causal) unknown input observability are defined. Sufficientconditions are given to investigate the observability of a quite general linear/nonlinear time delaysystem with unknown inputs. Luenberger-like observer is also studied for lineartime-delay systems.Show less >

Language :

Anglais

Collections :

• Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL