Proceedings of the 45th IEEE Conference on Decision and Control 2006
DOI: 10.1109/cdc.2006.377709
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H<sub>&#x0221E;</sub> observer for time-delay systems Application to FDI for irrigation canals

Abstract: This paper deals with the problem of fault detection and isolation for time-varying delayed systems. It consists to develop a H∞ observer that generates residuals sensitive to some faults and insensitive to others in order to detect and isolate actuator faults which can occur on the regulation gates of an irrigation canal. The observer design uses a simplified approximate model of the Saint-Venant equations and is formulated with delay-dependent Linear Matrix Inequality (LMI). Simulations done with a realistic… Show more

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Cited by 8 publications
(7 citation statements)
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“…Remark 5: In [31], fault detection and isolation problem for time-delay fractional systems of order in (0, 1) with constant time-delay is considered, so the approach therein can't be applied to system (1). The work of Bedjaoui et al [32] investigated the fault detection and isolation problem for a specific irrigation canals model using an H ∞ and unknown input observer designing for systems with multiple time-varying state delays and unknown input delays, which can also be investigated using the proposed approach in this paper by appropriate modification. In [32], all the lower bounds of those time-delays are all restricted to 0.…”
Section: Residual Generators For Fault Isolationmentioning
confidence: 99%
See 1 more Smart Citation
“…Remark 5: In [31], fault detection and isolation problem for time-delay fractional systems of order in (0, 1) with constant time-delay is considered, so the approach therein can't be applied to system (1). The work of Bedjaoui et al [32] investigated the fault detection and isolation problem for a specific irrigation canals model using an H ∞ and unknown input observer designing for systems with multiple time-varying state delays and unknown input delays, which can also be investigated using the proposed approach in this paper by appropriate modification. In [32], all the lower bounds of those time-delays are all restricted to 0.…”
Section: Residual Generators For Fault Isolationmentioning
confidence: 99%
“…There have been many FDI schemes based on reduced-order state observers including functional observers as such residual generators have lower dynamical order and thus are easier to implement [25]- [29]. It should be noted that nearly all the existing residual generators are constructed for delay-free systems, and very little work [30]- [32] has been reported on FDI for time-delayed systems. When the system is subject to time-delay, it will be more complicated and challenging for stability analysis and control design including fault diagnosis problems, and extra effort should be made to deal with time-delay issue.…”
Section: Introductionmentioning
confidence: 99%
“…In [35], this methodology is applied for the estimation of the state-of-charge of batteries. Observer designs for time-delay systems with unknown inputs are presented in [2], [5], [23]. Swapping identifiers, originally developed for parameter estimation of ODE systems [21], [24], are constructed for parabolic PDEs in [43], [45], [46], [47].…”
Section: Literaturementioning
confidence: 99%
“…This paper [11] uses unknown input observers (UIO) for time-delay systems (e.g., [12] and [13]) to design a FDI scheme for a single canal reach. This approach was extended to multiple pools when only downstream levels are measured in [23].…”
Section: Introductionmentioning
confidence: 99%