Fast interval estimation for discrete-time linear systems: An L1 optimization method

Z Wang, TN Dinh, Q Zhang, T Raissi, Y Shen - Automatica, 2022 - Elsevier
… This paper studies interval estimation for discrete-time linear systems with unknown but …
-time interval estimation method for discrete-time linear systems. The proposed method is …

Prognosis of uncertain linear time-invariant discrete systems using unknown input interval observer

EI Robinson, J Marzat, T Raïssi - International Journal of Control, 2020 - Taylor & Francis
methodology to synthesise an interval unknown input observer (UIO) for linear time-invariant
(LTI) discrete-time systems … following theorem ensures the interval estimation of the state x. …

A novel set-theoretic interval observer for discrete linear time-invariant systems

F Xu, S Yang, X Wang - IEEE Transactions on Automatic …, 2020 - ieeexplore.ieee.org
… SVOs and the interval estimation conservatism and coordinate … the discrete linear time-invariant
(LTI) systems with process … , “On interval observer design for time-invariant discrete-time

Iterative proportional-integral interval estimation of linear discrete-time systems

M Shen, T Zhang, JH Park, QG Wang… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
… (IPI) interval estimation for discrete-time linear systems is discussed in … PI observers to
estimate system state and unknown … tion of reachable sets of linear time-invariant systems with in- …

Zonotopic Kalman filter-based interval estimation for discrete-time linear systems with unknown inputs

T Chevet, TN Dinh, J Marzat, Z Wang… - IEEE Control Systems …, 2021 - ieeexplore.ieee.org
… input zonotope-based interval estimation algorithm providing … of a discrete-time linear
timeinvariant (LTI) system subject to … Bernard, “Interval observers for linear time-invariant systems

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
… letter proposes a novel state interval estimation method for discrete-time linear switched
systems with unknown but bounded … time-invariant systems,” IEEE Trans. Autom. Control, vol. …

Interval estimation for nabla fractional order linear time-invariant systems

Y Wei, Y Wei, Y Wang, M Xie - ISA transactions, 2022 - Elsevier
interval estimation techniques for specific systems have been reported. A time-varying interval
observer is designed for linear time-invariant (… two strategies to achieve interval estimation

Interval Estimation for Discrete-Time Linear Parameter-Varying System with Unknown Inputs

T Chevet, TN Dinh, J Marzat… - 2021 60th IEEE …, 2021 - ieeexplore.ieee.org
… a new interval observer derived from the interval estimation strategies for discrete-time LPV
systems … in [15] and the unknown input interval observer for discrete-time linear time invariant

Reachability analysis-based interval estimation for discrete-time Takagi–Sugeno fuzzy systems

S Guo, W Ren, CK Ahn, C Wen… - … on Fuzzy Systems, 2021 - ieeexplore.ieee.org
… However, this study only considered linear timeinvariant systems without the … an interval
estimation method using the reachability analysis theory. For the sake of brevity, the error system

State and faults interval estimations for discrete-time linear systems

W Ren, S Guo - … Journal of Control, Automation and Systems, 2023 - Springer
… observer is constructed, but the disadvantage of this method is its large calculation [26]; ii)
A linear time-invariant transformation matrix, which is the solution of a Sylvester equation, is …