Interval observers for discrete-time systems

Mazenc, Frédéric; Dinh, Thach Ngoc; Niculescu, Silviu–Iulian

doi:10.1002/rnc.3030

Cited by 153 publications

(73 citation statements)

References 22 publications

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“…In recent works (see for instance [19], [22] and [20]), it has been shown that it is always possible to relax this assumption by means of a change of coordinates z s = T s x s with a nonsingular matrix T s such that T s (μA s − L s C s )T −1 s is Metzler.…”

Section: Known Singular Perturbation Parameter Casementioning

confidence: 97%

Robust state estimation for singularly perturbed systems

Yousfi

Raïssi

Amairi

et al. 2016

International Journal of Control

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This paper deals with the design of interval observers for singularly perturbed linear systems. The fullorder system is firstly decoupled into slow and fast subsystems. Then, using the cooperativity theory, an interval observer is designed for the slow and fast subsystems assuming that the measurement noise and the disturbances are bounded and the singular perturbed parameter is uncertain. This decoupling leads to two observers that estimate the lower and upper bounds for the feasible state domain. A numerical example shows the efficiency of the proposed technique.

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Section: Known Singular Perturbation Parameter Casementioning

confidence: 97%

Robust state estimation for singularly perturbed systems

Yousfi

Raïssi

Amairi

et al. 2016

International Journal of Control

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show abstract

“…In recent works [8], [3] and [23], it has been shown that it is possible to relax this assumption by means of a change of coordinates z = T x s with a nonsingular matrix T such that the matrix T (µ 0 A s − LC s )T −1 is Metzler.…”

Section: A Exact Interval Observersmentioning

confidence: 97%

Interval observers design for singularly perturbed systems

Yousfi

Raïssi²,

Amairi

et al. 2014

53rd IEEE Conference on Decision and Control

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This paper deals with interval observers design for two-time singularly perturbed systems. The full-order system is firstly decoupled into slow and fast subsystems. Then, using the cooperativity theory, an interval observer is designed for the slow subsystem assuming that the singular perturbed parameter is uncertain. This decoupling leads to two observers that estimate the lower and upper bounds for state values. A numerical example shows the efficiency of the proposed technique.

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“…Interval observer design problem for uncertain dynamical systems has received a great attention in the literature the last decades . In the case of linear systems, this problem has been tackled in both continuous‐time and discrete‐time framework .…”

Section: Introductionmentioning

confidence: 99%

An interval observer for uncertain continuous‐time linear systems

Meslem

Martínez

Ramdani

et al. 2019

Intl J Robust & Nonlinear

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Summary To design robust interval observers for uncertain continuous‐time linear systems, a new set‐integration approach is proposed to compute trajectory tubes for the estimation error. Because this approach, the order‐preserving condition on the dynamics of the estimation error is no longer required. Therefore, scriptH∞ synthesis methods can be used to compute observer gains that reduce the impact of the system uncertainties on the accuracy of the estimated state enclosures. The performance of the proposed approach is showcased through illustrative numerical examples.

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Interval observers for discrete-time systems

Cited by 153 publications

References 22 publications

Robust state estimation for singularly perturbed systems

Robust state estimation for singularly perturbed systems

Interval observers design for singularly perturbed systems

An interval observer for uncertain continuous‐time linear systems

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