Set-membership state and parameter estimation for discrete time-varying systems based on the constrained zonotope

Pan, Zhichao; Luan, Xiaoli; Liu, Fei

doi:10.1080/00207179.2022.2135608

Cited by 5 publications

(2 citation statements)

References 54 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Based on this assumption, numerous methods have been proposed to design such estimators. For example, polytopes, 12,13 ellipsoids, [14][15][16] intervals, [17][18][19] and zonotopes [20][21][22] are used to enclose, at each time instant, the actual state of the system. 23 On the other hand, descriptor systems have received much attention in the last decades as a general class of systems.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Tight interval state estimate for discrete‐time descriptor linear systems

Lamouchi,

Meslem,

Raïssi

2024

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

SummaryIn this work, two state estimation methods are proposed for a class of discrete‐time descriptor linear systems subject to bounded uncertainties. First, we propose set‐valued estimator algorithm using symmetric boxes to compute rigorous bounds of the system states. The observer gains are calculated using norm to attenuate the effects of the uncertainties and to improve the accuracy of the proposed estimator. Second, to obtain tighter state enclosures, zonotopic set computation are developed instead of interval analysis to design a new set‐valued state estimation algorithm. The performances of the proposed state estimation approaches are highlighted on different illustrative examples.

show abstract

Section: Introductionmentioning

confidence: 99%

“…Based on this assumption, numerous methods have been proposed to design such estimators. For example, polytopes, 12,13 ellipsoids, 14–16 intervals, 17–19 and zonotopes 20–22 are used to enclose, at each time instant, the actual state of the system 23 …”

Section: Introductionmentioning

confidence: 99%

Tight interval state estimate for discrete‐time descriptor linear systems

Lamouchi,

Meslem,

Raïssi

2024

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

show abstract

Zonotopic state estimation and sensor fault detection for a wastewater treatment bioprocess

Zhou,

Wu,

Wang

et al. 2024

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

In this paper, a fault diagnosis method for the basic process of microbial growth in wastewater treatment based on interval estimation technology is proposed. First, a nonlinear microbial growth model is converted into a linear time‐varying system. A time‐varying observer is then designed for the generated system, which takes into account an performance. Furthermore, a zonotope‐based set‐membership estimation algorithm is analyzed to synchronize interval estimation operations. In addition, interval residuals are computed from the generated interval state estimation and fault diagnosis is performed for a wastewater treatment bioprocess with sensor fault signals. Finally, the feasibility of the proposed fault diagnosis strategy for the wastewater treatment bioprocess is illustrated through numerical simulations.

show abstract