[RMR17] Interval observer design for unknown input estimation of linear time-invariant discrete-time systems
Conférence Internationale avec comité de lecture :
IFAC World Congress ,
Mots clés: Prognosis ; interval observers ; Uncertainties
In this paper, the problem of joint state and unknown input estimation for linear
time-invariant (LTI) discrete-time systems using interval observer is addressed. This problem has
already been studied in the context of continuous-time systems. To the best of our knowledge,
unknown input interval-based estimation for discrete-time systems has not been considered in
the literature. Assuming that the measurement noise and disturbances are bounded, lower and
upper bounds are first computed for the unmeasured state and then for the unknown inputs.
The results obtained with a numerical example highlight the efficiency of the method.