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Asymptotic Estimation of State, Fault and Perturbation for Nonlinear Systems and Its Fault-tolerant Control Application

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  • Control Theory and Applications
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Abstract

This paper addresses the challenge of robust simultaneous estimation of state and actuator faults for Lipschitz nonlinear systems with unknown perturbations acting on both the state dynamics and output measurements. The existing methods enhance the estimation robustness by suppressing the perturbations or decoupling them under satisfaction of the matching condition. This work considers a total elimination of the perturbation effects through perturbation reconstruction. An adaptive sliding mode unknown input observer (ASMUIO) is developed to realize simultaneous asymptotic estimation of the state, faults and perturbations. It leverages a descriptor system reformulation of the original system by regarding partial perturbations as virtual state and the rest part as virtual faults. The proposed ASMUIO has feasibility guarantee and is solved via a linear matrix inequality (LMI) setting. Based on the ASMUIO, an adaptive backstepping fault-tolerant control (FTC) is further designed to achieve good tracking performance. The design efficacy is illustrated through comparative simulations of the proposed method against representative methods in the literature.

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Authors and Affiliations

  1. Department of Aeronautical and Automotive Engineering, Loughborough University, Leicestershire, LE11 3TU, UK

    Jianglin Lan

  2. School of Engineering and Computer Science, University of Hull, Cottingham Road, Hull, HU6 7RX, UK

    Ron Patton

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  1. Jianglin Lan
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  2. Ron Patton
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Correspondence to Jianglin Lan.

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Recommended by Associate Editor Yongpin Pan under the direction of Editor Yoshito Ohta.

Jianglin Lan received his B.Eng. degree from South China Agricultural University in 2011, an M.Sc. degree from South China University of Technology in 2014, and a Ph.D. degree from University of Hull in 2017. He was a research associate at University of Sheffield from 2017–2018, and now is a research associate at Lough-borough University. His research interests are monitoring, optimization and control for dynamic systems.

Ron Patton graduated at Sheffield University with B.Eng., M.Eng. and Ph.D. degrees in electrical & electronic engineering and control systems. He is a professor and holds the Chair in Control & Intelligent Systems Engineering at University of Hull. He is a Life Fellow of IEEE, Senior member of AIAA and Fellow of the Institute of Measurement and Control. His current research interests are robust multiple-model and decentralized strategies for FDI/FDD & FTC and Renewable Energy including load mitigation control for offshore wind turbines and wave to wire control of wave energy conversion.

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Lan, J., Patton, R. Asymptotic Estimation of State, Fault and Perturbation for Nonlinear Systems and Its Fault-tolerant Control Application. Int. J. Control Autom. Syst. 19, 1175–1182 (2021). https://doi.org/10.1007/s12555-019-1078-1

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  • DOI: https://doi.org/10.1007/s12555-019-1078-1

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