15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
A BOUNDED-ERROR APPROACH TO DESIGNING UNKNOWN INPUT OBSERVERS
Marcin Witczak* Józef Korbicz* Ron J. Patton**
* Institute of Control and Computation Engineering,
University of Zielona Góra,
ul. Podgórna 50, 65-246 Zielona Góra, Poland,
fax: +48 68 3 25 46 15,
e-mail: {M.Witczak,J.Korbicz}@issi.uz.zgora.pl
** Control and Intelligent Systems Engineering,
Department of Engineering,
Robert Blackburn Building,
The University of Hull,
Cottingham Road, East Yorkshire HU6 7RX,
United Kingdom,
e-mail: R.J.Patton@hull.ac.uk

This paper focuses on the problem of designing unknown input observers for both linear and non-linear stochastic systems. The main objective is to show how to employ the bounded-error state estimation technique and some transformations of the system equations to form a new bounded-error unknown input observer. It is shown how to extend the proposed approach to tackle the problem of state estimation of non-linear stochastic systems. The final part of this paper shows an example, concerning fault detection of an apparatus that is a part of the evaporation station at the Lublin sugar factory, which confirms the effectiveness of the approach.
Keywords: observers, bounded noise, non-linear systems, fault diagnosis
Session slot T-Fr-M10: Observer-based Approaches to Robust FDI/Area code 7e : Fault Detection, Supervision and Safety of Technical Processes