Zonotopes and Kalman observers: Gain optimality under distinct uncertainty paradigms and robust convergence

C Combastel - Automatica, 2015 - Elsevier
State bounding observation based on zonotopes is the subject of this paper. Dealing with
zonotopes is motivated by set operations resulting in simple matrix calculations with regard …

Design and applications of interval observers for uncertain dynamical systems

A Khan, W Xie, L Zhang, LW Liu - IET Circuits, Devices & …, 2020 - Wiley Online Library
Interval observer design and related techniques have been researched and applied in many
engineering fields and continue to be an active research area in the estimation and control …

Design of interval observers for uncertain dynamical systems

D Efimov, T Raïssi - Automation and Remote Control, 2016 - Springer
Interval state observers provide an estimate on the set of admissible values of the state
vector at each instant of time. Ideally, the size of the evaluated set is proportional to the …

Interval observers for continuous-time LPV systems with L1/L2 performance

S Chebotarev, D Efimov, T Raïssi, A Zolghadri - Automatica, 2015 - Elsevier
An approach to interval observer design for Linear Parameter-Varying (LPV) systems is
proposed. It is assumed that the vector of scheduling parameters in LPV models is not …

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 …

A new approach to design interval observers for linear systems

F Cacace, A Germani, C Manes - IEEE Transactions on …, 2014 - ieeexplore.ieee.org
Interval observers are dynamic systems that provide upper and lower bounds of the true
state trajectories of systems. In this work we introduce a technique to design interval …

Detection and isolation of false data injection attacks in smart grid via unknown input interval observer

X Wang, X Luo, M Zhang, Z Jiang… - IEEE Internet of Things …, 2020 - ieeexplore.ieee.org
This article investigates the detection and isolation of false data injection (FDI) attacks in a
smart grid based on the unknown input (UI) interval observer. Recent studies have shown …

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 …

Guaranteed set-membership estimation for local nonlinear uncertain fuzzy systems subject to partially decouplable unknown inputs

W Ren, S Guo, CK Ahn - IEEE Transactions on Fuzzy Systems, 2023 - ieeexplore.ieee.org
Local nonlinear fuzzy systems are useful for control solutions due to their ability to handle
unmeasurable/inexact premise variables and reduce computational complexity. However …

Some recent results on the design and implementation of interval observers for uncertain systems

T Raïssi, D Efimov - at-Automatisierungstechnik, 2018 - degruyter.com
Based on the theory of positive systems, the goal of interval observers is to compute sets of
admissible values of the state vector at each instant of time for systems subject to bounded …