Interval observers for discrete‐time systems

F Mazenc, TN Dinh, SI Niculescu - International journal of …, 2014 - Wiley Online Library
Interval observers are constructed for discrete‐time systems. First, time‐invariant interval
observers are proposed for a family of nonlinear systems. Second, it is shown that, for any …

Fault detection based on robust adaptive thresholds: A dynamic interval approach

SA Raka, C Combastel - Annual Reviews in Control, 2013 - Elsevier
A dynamic interval approach for the fast computation of robust adaptive thresholds for a
class of uncertain linear systems is the subject of this paper. An extension of recent results …

An effective method to interval observer design for time-varying systems

REH Thabet, T Raissi, C Combastel, D Efimov… - Automatica, 2014 - Elsevier
An interval observer for Linear Time-Varying (LTV) systems is proposed in this paper.
Usually, the design of such observers is based on monotone systems theory. Monotone …

Robust interval observers and stabilization design for discrete-time systems with input and output

F Mazenc, TN Dinh, SI Niculescu - Automatica, 2013 - Elsevier
For a family of nonlinear discrete-time systems with input, output and uncertain terms, a new
interval observer is designed. Its main feature is that it is composed of two copies of classical …

Construction of interval observers for continuous-time systems with discrete measurements

F Mazenc, TN Dinh - Automatica, 2014 - Elsevier
We consider continuous-time systems with input, output and additive disturbances in the
particular case where the measurements are only available at discrete instants and have …

Overview of linear time‐invariant interval observer design: towards a non‐smooth optimisation‐based approach

E Chambon, L Burlion… - IET Control Theory & …, 2016 - Wiley Online Library
Some applications in control require the state vector of a system to be expressed in the
appropriate coordinates so as to satisfy to some mathematical properties which constrain the …

Interval observer composed of observers for nonlinear systems

TN Dinh, F Mazenc, SI Niculescu - 2014 European Control …, 2014 - ieeexplore.ieee.org
For a family of continuous-time nonlinear systems with input, output and uncertain terms, a
new interval observer design is proposed. The main feature of the constructed interval …

Stable interval observers in BBC for linear systems with time-varying input bounds

C Combastel - IEEE Transactions on Automatic Control, 2012 - ieeexplore.ieee.org
This technical note deals with the design of stable interval observers and estimators for
continuous-time linear dynamic systems under uncertain initial states and uncertain inputs …

Interval state estimation for linear time-varying (LTV) discrete-time systems subject to component faults and uncertainties

A Khan, W Xie, L Zhang - Archives of Control Sciences, 2019 - yadda.icm.edu.pl
This paper deals with the design of an interval state estimator for linear time-varying (LTV)
discrete-time systems subject to component faults and uncertainties. These component …

Estimation of solutions of observable nonlinear systems with disturbances

F Mazenc, E Fridman, W Djema - Systems & Control Letters, 2015 - Elsevier
A family of continuous-time observable nonlinear systems with input and output is
considered. A new technique of estimation of the state variables is proposed. It relies on the …