Disturbance retrieving unknown input proportional integral observer for generalized linear systems: Application to fault diagnosis

Pasand, Mohammad Mahdi Share; Taghirad, H. D.

doi:10.1109/iccas.2010.5670321

Cited by 3 publications

(1 citation statement)

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“…For TS models, several state and unknown input estimation methods have been developed. These include PI observers for decoupled Multiple Models [5], UI-PI observers with measurable premise variables [6,7], and a TS multi-model based PI observer for simultaneous state and input estimation [8]. However, PI observers have limitations with time-varying inputs, leading to the development of PMI observers, like the Thau-Luenberger observer [9], capable of assessing all unknown input derivatives.…”

Section: Introductionmentioning

confidence: 99%

Designing Unknown Input Observers for Fault Reconstruction in Disturbed Takagi-Sugeno Fuzzy Systems

Mimoune,

Hammoudi,

Hamdi

2023

The 10th International Electronic Conference on Sensors and Applications

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Section: Introductionmentioning

confidence: 99%

Designing Unknown Input Observers for Fault Reconstruction in Disturbed Takagi-Sugeno Fuzzy Systems

Mimoune,

Hammoudi,

Hamdi

2023

The 10th International Electronic Conference on Sensors and Applications

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Simultaneous time‐varying actuator and sensor fault reconstruction based on PI observer for LPV systems

Zhu

2014

Adaptive Control & Signal

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We consider problems of actuator and sensor fault reconstruction simultaneously for linear parameter varying systems expressed in polytopic forms. By extending the sensor fault as an auxiliary state, a polytopic unknown input proportional-integral observer in which the actuator fault signals are assumed to be time varying is developed to estimate the system states and the actuator and sensor fault at the same time. The existence conditions of the observer are derived in terms of linear matrix inequalities that can be readily handled via some efficient tools. An example is given to demonstrate the advantages of the proposed method in comparison to the existing results.R s ; f a 2 R q , and f s 2 R w are external disturbance, actuator fault, and sensor fault, respectively. A.Â.t // 2 R n n ; B.Â.t // 2 R n m , F .Â.t// 2 R n q , and D.Â.t// 2 R n s are continuous matrix functions that depend on time-varying parameter Â.t/ 2 R v , which can be measured online. Matrix M 2 R p w has full column rank, and matrix C 2 R p n has full row rank. Remark 1Both actuator faults and unknown inputs are unknown factors to the systems, and they usually have similar effects on the system behavior, but they are usually dealt with in a very different way in FDI designs. Specifically, for actuator faults that come from actuators, we usually wish that we can detect or reconstruct them when they occur, while the unknown inputs are the external disturbances or modeling uncertainties of the systems, which we only need to suppress them. In this paper, we reconstruct the actuator faults by designing an adaption law and attenuate the influences of external disturbances d by using H 1 technique, which can suppress them to a desirable level.Assumption 1 Â.t/ 2 R v is bounded and lies into a hypercube ‚:D 1; : : : ; vº and Â.t/ 2 ‚ D C o¹Â 1 .t/; : : : ; Â r .t /º where Â i and N Â i represent the maximum and minimum values of Â i .t /; r D 2 v , and Â 1 .t/; : : : ; Â r .t / are the vertices of the hypercube. Assumption 2The elements of the matrices in (1) are affine functions of time-varying parameter vector Â.t/. Definition 1Define $ D ¹$.t/º 2 L 2 OE 0 1 /, and its L 2 norm is Remark 2

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Robust H_∞ Controller design based on Generalized Dynamic Observer for Uncertain Singular system with Disturbance

Jalali¹,

Kalat

2021

JoC

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Disturbance retrieving unknown input proportional integral observer for generalized linear systems: Application to fault diagnosis

Cited by 3 publications

References 11 publications

Designing Unknown Input Observers for Fault Reconstruction in Disturbed Takagi-Sugeno Fuzzy Systems

Designing Unknown Input Observers for Fault Reconstruction in Disturbed Takagi-Sugeno Fuzzy Systems

Simultaneous time‐varying actuator and sensor fault reconstruction based on PI observer for LPV systems

Robust H_∞ Controller design based on Generalized Dynamic Observer for Uncertain Singular system with Disturbance

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