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Observer design using a partial nonlinear observer canonical form

100%

Röbenack K., Lynch A. F.

International Journal of Applied Mathematics and Computer Science

2006

tom 16

nr 3

333-343

This paper proposes two methods for nonlinear observer design which are based on a partial nonlinear observer canonical form (POCF). Observability and integrability existence conditions for the new POCF are weaker than the well-established nonlinear observer canonical form (OCF), which achieves exact error linearization. The proposed observers provide the global asymptotic stability of error dynamics assuming that a global Lipschitz and detectability-like condition holds. Examples illustrate the advantages of the approach relative to the existing nonlinear observer design methods. The advantages of the proposed method include a relatively simple design procedure which can be broadly applied.

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Robust sensor fault estimation for descriptor-LPV systems with unmeasurable gain scheduling functions: application to an anaerobic bioreactor

88%

López-Estrada F.-R., Ponsart J.-C., Theilliol D., Astorga-Zaragoza C.-M., Camas-Anzueto J.-L.

International Journal of Applied Mathematics and Computer Science

2015

tom 25

nr 2

233-244

This paper addresses the design of a state estimation and sensor fault detection, isolation and fault estimation observer for descriptor-linear parameter varying (D-LPV) systems. In contrast to where the scheduling functions depend on some measurable time varying state, the proposed method considers the scheduling function depending on an unmeasurable state vector. In order to isolate, detect and estimate sensor faults, an augmented system is constructed by considering faults to be auxiliary state vectors. An unknown input LPV observer is designed to estimate simultaneously system states and faults. Sufficient conditions to guarantee stability and robustness against the uncertainty provided by the unmeasurable scheduling functions and the influence of disturbances are synthesized via a linear matrix inequality (LMI) formulation by considering H∞ and Lyapunov approaches. The performances of the proposed method are illustrated through the application to an anaerobic bioreactor model.

Ograniczanie wyników

2 International Journal of Applied Mathematics and Computer Science

1 Astorga-Zaragoza C.-M.

1 Camas-Anzueto J.-L.

1 Lynch A. F.

1 López-Estrada F.-R.

1 Ponsart J.-C.

1 Röbenack K.

1 Theilliol D.

1 2015

1 2006

Wyniki wyszukiwania

Observer design using a partial nonlinear observer canonical form

Robust sensor fault estimation for descriptor-LPV systems with unmeasurable gain scheduling functions: application to an anaerobic bioreactor