A note on interval observer design for unknown input estimation

Gucik‐Derigny, David; Raïssi, Tarek; Zolghadri, Ali

doi:10.1080/00207179.2015.1057230

Cited by 46 publications

(34 citation statements)

References 24 publications

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“…where x t = S t E t I t R t T ∈ R 4 + is the state vector and ζ t := β t S t I t is an uncertain input. In contrast to [24] and [25], the matrix A t is time-varying in this paper. Moreover, it should be pointed out that only unknown inputs that have no impact on the output are considered in [25].…”

Section: Problem Statement and Preliminary Resultsmentioning

confidence: 99%

An Interval Observer for Discrete-Time SEIR Epidemic Models

Degue

2018

2018 Annual American Control Conference (ACC)

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This paper focuses on designing a state estimator for a discrete-time SEIR epidemic model of an influenzalike illness. It is assumed that only sets of admissible values are known for the model's disturbances, uncertainties and parameters, except for the time-varying transmission rate from the "susceptible" to the "exposed" stage, whose bounding values are unavailable. An interval observer is designed to estimate the set of possible values of the state, and a sufficient condition guaranteeing the asymptotic stability of the proposed estimator is formulated in terms of a linear matrix inequality. The performance of the proposed approach is demonstrated by numerical simulations.

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Section: Problem Statement and Preliminary Resultsmentioning

confidence: 99%

An Interval Observer for Discrete-Time SEIR Epidemic Models

Degue

2018

2018 Annual American Control Conference (ACC)

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“…Recent years have witnessed an increasing interest in investigating state estimation of systems subject to Unknown Inputs (UIs) and modeling uncertainties using intervalobserver-based approaches [6], [5]. This issue, often leading to the so called Unknown Input Interval Observers (UIIOs), is of great concern when dealing with systems with bounded uncertainties.…”

Section: Introductionmentioning

confidence: 99%

“…In [7], a robust fault detection methodology using UIIO based on zonotopic set representation for discrete-time linear system is introduced. In [6], an interval observer is built in a new coordinates basis in which the state dynamics is only partially affected by the UIs. In [13], authors deal with the problem of state interval estimation and unknown inputs decoupling for a class of uncertain linear time-invariant system.…”

Section: Introductionmentioning

confidence: 99%

An Unknown Input Switched Functional Interval Observer for Vehicle Lateral Velocity Estimation

Ifqir

Ichalal

Ait-Oufroukh

et al. 2019

2019 IEEE 58th Conference on Decision and Control (CDC)

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Functional interval observer of dynamical switched systems provides significant advantages in practical applications. In view of the enlarged order of interval observers, applying interval functional observers can result in lower computational costs and more practicability in some applications such as output feedback control and fault diagnosis of these systems. In this paper, an unknown input functional state interval observer design for a class of switched uncertain systems is investigated. Necessary and sufficient conditions for observer existence are derived. Based on Input to State Stability (ISS) principle and Lyapunov theory, the stability and positivity conditions for the estimation errors are expressed in terms of Linear Matrix Inequalities. A design procedure algorithm of the state observer is given. Finally, the proposed estimation methodology is applied to vehicle lateral velocity estimation problem. Simulation results obtained, confirm the good accuracy and robustness of the proposed state estimation concept.

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“…There have been a great number of papers concerning the problem of estimating state variables and unknown inputs for continuous-time systems using sliding mode approaches: see [1], [2], [3], [4], [5], [6], [7] and references therein. A typical property of these observers is that a sliding surface based on the output error is constructed and a nonlinear switching injection term is introduced to force the output errors to reach the sliding surface in finite time.…”

Section: Introductionmentioning

confidence: 99%