Regular Papers

International Journal of Control, Automation and Systems 2023; 21(3): 697-710

Published online December 20, 2022

https://doi.org/10.1007/s12555-022-0180-y

© The International Journal of Control, Automation, and Systems

Descriptor Observers for Robust Fault Reconstruction in a Class of Nonlinear Descriptor Systems

Joseph Chang Lun Chan, Wen-Shyan Chua, Tae H. Lee*, and Chee Pin Tan

Jeonbuk National University

Abstract

This paper presents a robust fault reconstruction scheme for a class of nonlinear descriptor systems that is affected by disturbances. The fault enters the system both linearly and through nonlinear functions in both the state and output equations. The system is first re-expressed into a form which is easier to manipulate. Two cases are considered: in the first case, the fault is present in the nonlinear function of the output equation, whereas in the second case, the nonlinear function of the output equation does not contain the fault. In each case, a nonlinear descriptor observer is used to reconstruct the fault, where the gains of the observer are designed using linear matrix inequalities such that the effect of disturbances on the fault reconstruction is bounded. As a result of their structure, the proposed descriptor observers do not require restrictions on the rates of the input and disturbances (unlike in observers using a state-space structure) which makes the proposed observers more widely applicable. Finally, two simulation examples are performed to verify the performance of the proposed observers.

Keywords Descriptor systems, fault estimation, nonlinear systems, observers, uncertain systems.

Article

Regular Papers

International Journal of Control, Automation and Systems 2023; 21(3): 697-710

Published online March 1, 2023 https://doi.org/10.1007/s12555-022-0180-y

Copyright © The International Journal of Control, Automation, and Systems.

Descriptor Observers for Robust Fault Reconstruction in a Class of Nonlinear Descriptor Systems

Joseph Chang Lun Chan, Wen-Shyan Chua, Tae H. Lee*, and Chee Pin Tan

Jeonbuk National University

Abstract

This paper presents a robust fault reconstruction scheme for a class of nonlinear descriptor systems that is affected by disturbances. The fault enters the system both linearly and through nonlinear functions in both the state and output equations. The system is first re-expressed into a form which is easier to manipulate. Two cases are considered: in the first case, the fault is present in the nonlinear function of the output equation, whereas in the second case, the nonlinear function of the output equation does not contain the fault. In each case, a nonlinear descriptor observer is used to reconstruct the fault, where the gains of the observer are designed using linear matrix inequalities such that the effect of disturbances on the fault reconstruction is bounded. As a result of their structure, the proposed descriptor observers do not require restrictions on the rates of the input and disturbances (unlike in observers using a state-space structure) which makes the proposed observers more widely applicable. Finally, two simulation examples are performed to verify the performance of the proposed observers.

Keywords: Descriptor systems, fault estimation, nonlinear systems, observers, uncertain systems.

IJCAS
June 2024

Vol. 22, No. 6, pp. 1761~2054

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