On interval observer design for time-invariant discrete-time systems

Denis Efimov, Wilfrid Perruquetti, Tarek Raissi, Ali Zolghadri
2013 2013 European Control Conference (ECC)   unpublished
The problem of interval state observer design is addressed for time-invariant discrete-time systems. Two solutions are proposed: the first one is based on a similarity transformation synthesis, which connects a constant matrix with its nonnegative representation ensuring the observation error positivity. The second contribution shows that in discrete-time case the estimation error dynamics always can be represented in a cooperative form without a transformation of coordinates. The corresponding
more » ... . The corresponding observer gain can be found as a solution of the formulated LMIs. The performances of the proposed observers are demonstrated through computer simulations.
doi:10.23919/ecc.2013.6669108 fatcat:opuuwmjv7nanhemen4zietmqoe