Robust State and Fault Estimation for Linear Descriptor and Nonlinear Stochastic Systems With Disturbances

Bessaoudi, Talel; Hmida, Fayçal Ben; Hsieh, Chien-Shu

doi:10.1016/b978-0-12-817038-0.00011-1

Cited by 3 publications

(2 citation statements)

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“…Example 3: Consider a modified version of the flexible-joint single-link robotic manipulator actuated by a brushed DC motor in [49]. Suppose the link has a faulty connection to the spring, resulting in the link moving to the faulty angle f .…”

Section: Simulation Examplesmentioning

confidence: 99%

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A Nonlinear Observer for Robust Fault Reconstruction in One-Sided Lipschitz and Quadratically Inner-Bounded Nonlinear Descriptor Systems

et al. 2021

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This article introduces a nonlinear observer to reconstruct faults in a class of nonlinear descriptor systems affected by disturbances, in both the state and output equations. The fault enters the system through nonlinear functions in both its state and output equations. The original system is first transformed such that design freedom in its structure is easier to exploit, and then a nonlinear observer is designed based on the transformed system to reconstruct the fault. Linear matrix inequalities are used to determine the gains of the observer such that the effect of the disturbances on the fault reconstruction is bounded. Finally, three simulation examples are carried out to verify the effectiveness of the scheme.

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Section: Simulation Examplesmentioning

confidence: 99%

“…• The works by [5], [7], [14], [15], [17]- [19], [23], [26], [28]- [31], [35]- [39], [41], [46], [49] do not consider faults entering the nonlinear function, and are therefore cannot be applied.…”

Section: Simulation Examplesmentioning

confidence: 99%