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Fault decomposition-based convergent FE and FTC for Lipschitz nonlinear systems

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Abstract

The problem of fault estimation and fault-tolerant control for Lipschitz nonlinear systems subject to actuator and sensor faults is investigated in this paper. Different from the lower triangular matrix linear transformation method in the literature, a fault decomposition technique is proposed to design a set of relaxed iterative observers, so as to derive the iterative estimates for the state and multi-fault. It can be proved that in certain condition, the obtained mean sequence of estimates converge to the true values of state and multi-faults as the number of iterations increases. A perturbation coefficient matrix-dependent LMI condition that guarantees the states of the obtained error dynamics to be uniformly ultimately bounded is proposed, which can degenerate into the traditional ones in the literature by tuning the perturbation coefficient matrix. Based on the obtained final estimation of multi-faults, an output feedback FTC is designed to stabilize the Lipschitz nonlinear system. The longitudinal dynamics of an aircraft is applied to test the proposed method.

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Funding

This work was supported in part by the National Natural Science Foundation of China (Under Grant No. 61773013), the Natural Science Foundation of Liaoning Province, China (Under Grant No. 2023-MS-287), and the Scientific Research Fund of Liaoning Provincial Education Department, China (Under Grant No. 2020LNJC12).

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  1. School of Sciences, University of Science and Technology LiaoNing, Anshan, 114051, Liaoning, People’s Republic of China

    Hong-Jun Wang & Sheng-Juan Huang

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  1. Hong-Jun Wang
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Correspondence to Sheng-Juan Huang.

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Wang, HJ., Huang, SJ. Fault decomposition-based convergent FE and FTC for Lipschitz nonlinear systems. Nonlinear Dyn 111, 12389–12404 (2023). https://doi.org/10.1007/s11071-023-08455-1

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