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

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