Robust L11 observer design and circuit implementation for a class of faulty nonlinear systems

Mehdi Rahmani and Zahra Shams

International Journal of Systems Science, 2023, vol. 54, issue 1, 113-123

Abstract: This paper presents a novel method to design a robust $ \mathcal {L}_1 $ L1 observer and its circuit implementation for the problems of fault diagnosis and state estimation in nonlinear systems expressed by Takagi–Sugeno models. The proposed observer is able to estimate states of system, process/actuator and sensor faults at the same time, and also has a high resistance to disturbances. The sufficient conditions to design the proposed observer such that ensuring the stability of the system based on to the Lyapunov theory and minimising an $ \mathcal {L}_1 $ L1 performance index are given by Linear Matrix Inequality (LMI) optimisation problems. Moreover, the circuit implementation of the Van der Pol system and the proposed observer scheme is provided in detail. Also, the simulation results validate the effectiveness of the proposed $ \mathcal {L}_1 $ L1 observer and fault diagnosis approach.

Date: 2023
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DOI: 10.1080/00207721.2022.2104952

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