Continuous-Discrete Time Observer for a class of MIMO Nonlinear Systems

Autor: M. L. Fall, Mohammed M'Saad, Eric Pigeon, Olivier Gehan, Mondher Farza, Krishna Busawon
Přispěvatelé: Référent, Greyc, Equipe Automatique - Laboratoire GREYC - UMR6072, Groupe de Recherche en Informatique, Image et Instrumentation de Caen (GREYC), Centre National de la Recherche Scientifique (CNRS)-École Nationale Supérieure d'Ingénieurs de Caen (ENSICAEN), Normandie Université (NU)-Normandie Université (NU)-Université de Caen Normandie (UNICAEN), Normandie Université (NU)-Centre National de la Recherche Scientifique (CNRS)-École Nationale Supérieure d'Ingénieurs de Caen (ENSICAEN), Normandie Université (NU), Equipe de Recherche en Physico-Chimie et Biotechnologie (ERPCB), Université de Caen Normandie (UNICAEN), Normandie Université (NU)-Normandie Université (NU)
Jazyk: angličtina
Rok vydání: 2013
Předmět:
0209 industrial biotechnology
Observer (quantum physics)
Dynamical systems theory
Differential equation
Computer science
Mimo nonlinear systems
02 engineering and technology
Separation principle
discrete time systems
nonlinear control systems
[SPI.AUTO]Engineering Sciences [physics]/Automatic
MIMO systems
020901 industrial engineering & automation
Control theory
[INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering
0202 electrical engineering
electronic engineering
information engineering

Partition (number theory)
State observer
continuous time systems
Electrical and Electronic Engineering
Alpha beta filter
Mathematics
observers
020208 electrical & electronic engineering
differential equations
Computer Science Applications
[SPI.AUTO] Engineering Sciences [physics]/Automatic
Discrete time and continuous time
Control and Systems Engineering
Hybrid system
020201 artificial intelligence & image processing
control system synthesis
Error detection and correction
[INFO.INFO-AU] Computer Science [cs]/Automatic Control Engineering
Mimo systems
flexible manipulators
Zdroj: IEEE Transactions on Automatic Control
IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2014, pp.1060-1065. ⟨10.1109/TAC.2013.2283754⟩
Control Conference (ECC), 2013 European
Control Conference (ECC), 2013 European, Jul 2013, Zurich, Switzerland. pp.2146-2151
ECC
ISSN: 0018-9286
DOI: 10.1109/TAC.2013.2283754⟩
Popis: International audience; This technical note addresses the observer design problem for a class of continuous-time dynamical systems with non-uniformly sampled measurements. More specifically, we propose an observer that runs in continuous-time with an output error correction term that is updated in a mixed continuous-discrete fashion. The proposed observer is actually an impulsive system since it is described by a set of differential equations with instantaneous state impulses corresponding to the measured samples and their estimates. Nevertheless, we shall show that such an impulsive system can be put under the form of a hybrid system composed of a continuous-time high gain observer coupled with an inter-sample output predictor. Two design features of the proposed observer are worth emphasizing. Firstly, the observer calibration is achieved through the tuning of a scalar design parameter. Secondly, the exponential convergence to zero of the observation error is established under a well-defined condition on the maximum value of the sampling partition diameter. Simulations results involving a flexible joint robot arm are given in order to highlight the performance of the proposed observer.
Databáze: OpenAIRE