A bilinear fault detection observer

A bilinear fault detection observer is proposed for a class of continuous time singular bilinear systems subject to unknown input disturbance and fault. By singular value decomposition on the original system, a bilinear fault detection observer is proposed for the decomposed system via an algebraic Riccati equation, and the domain of attraction of the state estimation error is estimated. A design procedure is presented to determine the fault detection threshold. A model of flexible joint robot is used to demonstrate the effectiveness of the proposed method.

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“…Multiplying the static equation (13) by a 12 L −1 and subtracting the result from the dynamic equation (12), the following system is deriveḋ…”

Section: System Solutionsmentioning

confidence: 99%

Design of a bilinear fault detection observer for singular bilinear systems

Wang

Zhang

2007

J. Control Theory Appl.

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“…The robust observer-based method of generating residuals based on software is well-known. Such residuals have been designed based on adaptive observers [8], sliding-mode observers [8], bilinear observers [9], quasi-linear observers [10], neural-network-based adaptive observers [11], nonlinear high-gain observers [12], nonlinear canonical form observers [13] and nonlinear observer based on the existence of linearizing transformations [14]. Robust observer based-residuals, based on polynomial models, have been found e ective, specially for hydraulic systems [15,16] and the residuals generated by high-gain observers [18], have wide applicability.…”

Section: Introductionmentioning

confidence: 99%

The Performance of Observer-based Residuals for Detecting Intermittent Faults: The Limitations

2014

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In this paper a broad nonlinear system is considered. Attention is focused upon both performance of a high-gain observer-based residual and the investigation of residual e ectiveness for detecting faults in actuators components. Residual performances for di erent fault positions and various system complexities are compared. Both qualitative and quantitative evidence for selected fault positions indicated the performance and the e ectiveness of the residuals decrease by ascending the system complexity. The poor performance of residuals in the more complex system may cause No Fault Found (NFF). The methods may be extended to the more general class of nonlinear systems and di erent observers. E ciency of the proposed approach is demonstrated through the intermittent failure case in a vehicle suspension system.

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“…In addition to the TS bilinear system stabilization problems, the TS fuzzy bilinear observers have been investigated to be explored in the output feedback control [11], [19]. Using the unknown input observer approach for designing bilinear observers with disturbance decoupling, such structures have stated residual filters potentially applicable in the modelbased fault diagnosis framework exploiting the techniques proposed, e.g., in [7], [15], [24], [25]. However, in the fault diagnosis application the relationship subjected to unknown input observers were proposed, e.g., in [16], [17].…”

Section: Introductionmentioning

confidence: 99%

On reduced-order fuzzy observer for one class of bilinear Takagi-Sugeno systems

Krokavec

Filasová

2014

2014 European Control Conference (ECC)

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The paper features a reduced-order state observer structure for one class of continuous-time nonlinear systems representable by a Takagi-Sugeno fuzzy model with bilinear rule consequence. When considering measurable premise variables, the notion of linear state estimation error dynamics is formulated and two forms of sufficient stability conditions are outlined in terms of linear matrix inequalities. The proposed method forms the observer considering each local model, and compiles the local insiders by inference through the membership functions equal those of the bilinear model.

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A bilinear fault detection observer

Cited by 56 publications

References 7 publications

Design of a bilinear fault detection observer for singular bilinear systems

Design of a bilinear fault detection observer for singular bilinear systems

The Performance of Observer-based Residuals for Detecting Intermittent Faults: The Limitations

On reduced-order fuzzy observer for one class of bilinear Takagi-Sugeno systems

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