Open AccessInterval observer design for unknown input estimation of linear time-invariant discrete-time systems
Author(s) -
Elinirina I. Robinson,
Julien Marzat,
Tarek Raïssi
Publication year - 2017
Publication title -
ifac-papersonline
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.308
H-Index - 72
eISSN - 2405-8971
pISSN - 2405-8963
DOI - 10.1016/j.ifacol.2017.08.717
Subject(s) - lti system theory , observer (physics) , discrete time and continuous time , control theory (sociology) , bounded function , mathematics , linear system , interval estimation , interval (graph theory) , invariant (physics) , computer science , statistics , confidence interval , mathematical analysis , artificial intelligence , control (management) , combinatorics , quantum mechanics , mathematical physics , physics
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 litterature. 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.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom