Interval estimation for continuous-time switched linear systems

H Ethabet, D Rabehi, D Efimov, T Raïssi - Automatica, 2018 - Elsevier
This paper deals with the design of interval observers for switched linear systems (SLS), a
class of hybrid systems. Under the assumption that the disturbances and the measurement …

Interval observer-based fault-tolerant control for a class of positive Markov jump systems

X Song, J Lam, B Zhu, C Fan - Information Sciences, 2022 - Elsevier
The problem of fault-tolerant controller design for positive Markov jump systems subject to
interval uncertainties and time-varying actuator faults is investigated in this paper. First …

Optimal interval observers for discrete-time linear switched systems

TN Dinh, G Marouani, T Raïssi, Z Wang… - International Journal of …, 2020 - Taylor & Francis
The main goal of this paper is to present a methodology to design interval observers for
discrete-time linear switched systems affected by bounded, but unknown disturbances. Two …

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 …

Functional interval observer for discrete-time systems with disturbances

H Che, J Huang, X Zhao, X Ma, N Xu - Applied Mathematics and …, 2020 - Elsevier
This paper further investigates the design problem of the functional interval observer for
discrete-time systems with disturbances. Two methods are given to design functional interval …

Robust interval observer for switched systems with unknown inputs: Application to vehicle dynamics estimation

S Ifqir, D Ichalal, NA Oufroukh, S Mammar - European Journal of Control, 2018 - Elsevier
This paper investigates the problem of robust state estimation and unknown input interval
reconstruction for uncertain switched linear systems. Parameters uncertainty are supposed …

Set-membership interval state estimator design using observability matrix for discrete-time switched linear systems

A Khan, W Xie, LW Liu - IEEE Sensors Journal, 2020 - ieeexplore.ieee.org
The main goal of this paper is to present a new approach to set-membership interval state
estimator design for the uncertain discrete-time switched linear systems (SLS). The upper …

L1× ℓ1-to-L1× ℓ1 analysis of linear positive impulsive systems with application to the L1× ℓ1-to-L1× ℓ1 interval observation of linear impulsive and switched systems

C Briat - Nonlinear analysis: Hybrid systems, 2019 - Elsevier
Sufficient conditions characterizing the asymptotic stability and the hybrid L 1× ℓ 1-gain of
linear positive impulsive systems under minimum and range dwell-time constraints are …

Zonotope-based interval estimation for discrete-time linear switched systems

W Zhang, Z Wang, T Raïssi, TN Dinh, GM Dimirovski - IFAC-PapersOnLine, 2020 - Elsevier
This paper is concerned with the interval estimation for discrete-time linear switched systems
affected by unknown disturbances and noises. A novel interval estimation approach is …

Interval Estimation for Discrete-Time Switched Linear Systems Based on L Observer and Ellipsoid Analysis

M Dkhil, TN Dinh, Z Wang, T Raïssi… - IEEE Control Systems …, 2020 - ieeexplore.ieee.org
This letter proposes a two-step interval estimation method for discrete-time switched linear
systems with unknown but bounded uncertainties. Based on the ellipsoidal analysis, the …