Design of a Robust Polytopic Unknown Input Observer for FDI: Application for Systems described by a Multi-Model Representation

Rodrigues, Mickaël; Theilliol, Didier; Sauter, Dominique

doi:10.1109/cdc.2005.1583166

Cited by 23 publications

(24 citation statements)

References 22 publications

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“…This condition allows to verify that de-coupling do not affect fault detection by the estimation error [15]. This condition can be translated in a geometric way such as:…”

Section: B Polytopic Uio Synthesis For Actuator Fault Estimationmentioning

confidence: 99%

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Design of an Active Fault Tolerant Control and Polytopic Unknown Input Observer for Systems described by a Multi-Model Representation

Rodrigues

Theilliol

Sauter

Proceedings of the 44th IEEE Conference on Decision and Control

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To cite this version:Mickael Rodrigues, Didier Theilliol, Dominique Sauter. Design of an active fault tolerant control and polytopic unknown input observer for systems described by a multi-model representation. Design of an Active Fault Tolerant Control and Polytopic Unknown Input Observer for Systems described by a Multi-Model RepresentationMickaël Rodrigues, Didier Theilliol and Dominique Sauter Abstract-In this paper, an active Fault Tolerant Control (FTC) strategy is developed to systems described by multiple linear models to prevent the system deterioration by the synthesis of adapted controllers. First, a Polytopic Unknown Input Observer is synthesized for providing actuator fault estimation. The actuator fault estimation is used in a FTC scheme which schedules some predefined state feedback gains. These gains are performed through LMI both in fault-free and faulty cases in order to preserve the system performances over a wide operating range. For each separate actuator, a pole placement is designed by pole clustering. The effectiveness and performances of the method have been illustrated in simulation considering a hydraulic system: a three-tank system.

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“…This condition allows to verify that de-coupling do not affect fault detection by the estimation error [15]. This condition can be translated in a geometric way such as:…”

Section: B Polytopic Uio Synthesis For Actuator Fault Estimationmentioning

confidence: 99%

“…Definition 1: (Polytopic Unknown Input Observer) [15] A polytopic observer is defined as a polytopic unknown input observer (PUIO) for the system described by (8) …”

Section: B Polytopic Uio Synthesis For Actuator Fault Estimationmentioning

confidence: 99%

Design of an Active Fault Tolerant Control and Polytopic Unknown Input Observer for Systems described by a Multi-Model Representation

Rodrigues

Theilliol

Sauter

Proceedings of the 44th IEEE Conference on Decision and Control

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“…A method of Fault Detection, Isolation (FDI) and estimation with a polytopic UIO has been given by (Rodrigues et al 2005). In this section, we will extend this approach to ane LPV descriptor system.…”

Section: Fault Detection and Isolation For Lpv Descriptor Systemmentioning

confidence: 99%

“…This condition allows to verify that de-coupling does not aect fault detection by the estimation error (Rodrigues et al 2005). These residuals are used to detect and identify the actuator faults.…”

Section: Residual Generation and Actuator Faultmentioning

confidence: 99%

State Estimation for Polytopic LPV Descriptor Systems: Application to Fault Diagnosis

Hamdi

Rodrigues

Mechmeche

et al. 2009

IFAC Proceedings Volumes

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In this paper, the design of a polytopic Unknown Input Observer (UIO) for polytopic Linear Varying Parameter (LPV) descriptor systems is investigated. The method presented is based on the representation of ane LPV descriptor systems where parameters evolve in a hypercube domain. The considered polytopic UIO is able to estimate the states of the system in spite of the presence of unknown inputs. This approach is also applied to actuator fault detection, isolation and estimation. Stability conditions of such observer are expressed in terms of Linear Matrix Inequalities (LMI). An example illustrates the eectiveness and performances of such polytopic LPV observer.

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“…The observer classically used, within the framework of linear systems, is known as Luenberger observer or with profit Proportional [7]. In presence of unknown disturbances affecting system [13], the state estimation provided by this type of observer, is considerably degraded. In order to improve the observer design with respect to the disturbances, an ob-server with Proportional Integral gain can be used.…”

Section: Introductionmentioning

confidence: 99%

State and Unknown Inputs Estimations for Multi-Models Descriptor Systems

Mechmeche¹,

Hamdi²,

Rodrigues³

et al. 2012

AJCAM

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In this note, the problem of states and unknown inputs estimation of nonlinear descriptor system is considered.The methodology is based on the use of Proportional Integral and Unknown Input Observers. The considered nonlinear descriptor system is transformed into an equivalent multi-models form by using the Takagi-Sugeno (T-S) approach. In this paper, the design methods of both proportional integral observers and unknown inputs observers for descriptor multi-models are described in detail. Sufficient conditions of stability analysis and gain matrices determination are performed by resolving a set of Linear Matrices Inequalities (LMIs). The design method offers all the degrees of design freedom, which can be utilized to achieve various desired system specifications and performances and, thus, has great potentials in applications. A numerical example is employed to show the design procedure of these two observers and illustrate the effect of the proposed approach.

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Design of a Robust Polytopic Unknown Input Observer for FDI: Application for Systems described by a Multi-Model Representation

Cited by 23 publications

References 22 publications

Design of an Active Fault Tolerant Control and Polytopic Unknown Input Observer for Systems described by a Multi-Model Representation

Design of an Active Fault Tolerant Control and Polytopic Unknown Input Observer for Systems described by a Multi-Model Representation

State Estimation for Polytopic LPV Descriptor Systems: Application to Fault Diagnosis

State and Unknown Inputs Estimations for Multi-Models Descriptor Systems

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