Actuator fault estimation based on a proportional-integral observer with nonquadratic Lyapunov functions

J. Guzman, F.-R. López-Estrada, V. Estrada-Manzo and G. Valencia-Palomo

International Journal of Systems Science, 2021, vol. 52, issue 9, 1938-1951

Abstract: This work proposes a proportional-integral fault estimation observer for nonlinear systems by means of convex structures. Unlike the traditional approaches that consider quadratic Lyapunov functions, this work employs nonquadratic ones. As a result, less conservative conditions in the form of linear matrix inequalities are obtained. Furthermore, an $ H_\infty $ H∞ performance is employed in order to ensure robustness against sensor noise and disturbances; thus, the designed observer estimates both the state and the actuator faults even in the presence of disturbances. The performance of the proposed methodology is illustrated through a numerical example and a three-tank hydraulic system.

Date: 2021
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DOI: 10.1080/00207721.2021.1873451

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