BULLETIN of the

POLISH ACADEMY of SCIENCES

TECHNICAL SCIENCES

BULLETIN of the POLISH ACADEMY of SCIENCES: TECHNICAL SCIENCES
Volume 55, Issue 1, March 2007

Analysis of Dynamic Systems and Mechanical Engineering

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LMI-based strategies for designing observers and unknown input observers for non-linear discrete-time systems

J. KORBICZ, M. WITCZAK and V. PUIG
The paper deals with the problems of designing observers and unknown input observers for discrete-time Lipschitz non-linear systems. In particular, with the use of the Lyapunov method, three different convergence criteria of the observer are developed. Based on the achieved results, three different design procedures are proposed. Then, it is shown how to extend the proposed approach to the systems with unknown inputs. The final part of the paper presents illustrative examples that confirm the effectiveness of the proposed techniques. The paper also presents a MATLAB® function that implements one of the design procedures.
Key words: 

non-linear systems, state estimation, observers, fault diagnosis, convergence, LMI


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30 March 2007, site prepared  by KZ