[图书][B] Interval analysis

L Jaulin, M Kieffer, O Didrit, E Walter, L Jaulin, M Kieffer… - 2001 - Springer
Before using interval analysis as a basic tool in the following chapters, we shall now
introduce its main concepts. Section 2.2 recalls fundamental notions on set operators, set …

The ideal continual learner: An agent that never forgets

L Peng, P Giampouras, R Vidal - … Conference on Machine …, 2023 - proceedings.mlr.press
The goal of continual learning is to find a model that solves multiple learning tasks which are
presented sequentially to the learner. A key challenge in this setting is that the learner may" …

Guaranteed methods based on constrained zonotopes for set-valued state estimation of nonlinear discrete-time systems

BS Rego, GV Raffo, JK Scott, DM Raimondo - Automatica, 2020 - Elsevier
This paper presents new methods for set-valued state estimation of nonlinear discrete-time
systems with unknown-but-bounded uncertainties. A single time step involves propagating …

Guaranteed recursive non‐linear state bounding using interval analysis

M Kieffer, L Jaulin, E Walter - International Journal of Adaptive …, 2002 - Wiley Online Library
The problem considered here is state estimation in the presence of unknown but bounded
state perturbations and measurement noise. In this context, most available results are for …

Robust autonomous robot localization using interval analysis

M Kieffer, L Jaulin, É Walter, D Meizel - Reliable computing, 2000 - Springer
This paper deals with the determination of the position and orientation of a mobile robot from
distance measurements provided by a belt of onboard ultrasonic sensors. The environment …

Software sensors for highly uncertain WWTPs: a new approach based on interval observers

V Alcaraz-González, J Harmand, A Rapaport, JP Steyer… - Water research, 2002 - Elsevier
This paper presents the practical implementation of a new robust interval observer on a 1m3
continuous fixed bed anaerobic reactor used for the treatment of industrial wine distillery …

Guaranteed non-linear estimation using constraint propagation on sets

L Jaulin, M Kieffer, I Braems… - International Journal of …, 2001 - Taylor & Francis
Bounded-error estimation is the estimation of the parameter or state vector of a model from
experimental data, under the assumption that some suitably defined errors should belong to …

Comparison of advanced set-based fault detection methods with classical data-driven and observer-based methods for uncertain nonlinear processes

B Mu, X Yang, JK Scott - Computers & Chemical Engineering, 2022 - Elsevier
Automated fault detection (FD) methods are essential for safe and profitable operation of
complex engineered systems. Both data-driven and model-based methods have been …

Parallelotopic and practical observers for non-linear uncertain systems

A Rapaport, JL Gouzé - International journal of control, 2003 - Taylor & Francis
For a class of dynamical systems, with uncertain non-linear terms considered as unknown
inputs, we give suffcient conditions for observability. We show also that there does not exist …

State estimation using interval analysis and belief-function theory: application to dynamic vehicle localization

G Nassreddine, F Abdallah… - IEEE Transactions on …, 2009 - ieeexplore.ieee.org
A new approach to nonlinear state estimation based on belief-function theory and interval
analysis is presented. This method uses belief structures composed of a finite number of …