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Robust Actuator Fault Reconstruction for Takagi-Sugeno Fuzzy Systems with Time-varying Delays via a Synthesized Learning and Luenberger Observer

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  • Control Theory and Applications
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Abstract

This paper addresses the problem of robust actuator fault reconstruction for Takagi-Sugeno (T-S) fuzzy systems subjects to actuator faults, unknown inputs and time-varying delays via a Fuzzy Synthesized Learning and Luenberger Observer (FSL2O). Through a coordinate transformation, the original T-S fuzzy system is decomposed into two subsystems: subsystem-1 effected by actuator faults and subsystem-2 effected by unknown inputs. In the presented FSL2O methodology, a Reduced-Order Fuzzy Learning Observer (ROFLO) is explored for the subsystem-1 to reconstruct actuator faults accurately while a Reduced-Order Fuzzy State (Luenberger) Observer (ROFSO) is designed for the subsystem-2 based on the H∞ control technique such that it has strong robustness against the unknown inputs. The synthesized design of the ROFLO and the ROFSO is formulated in a unified manner in terms of Linear Matrix Inequalities (LMIs) that can be conveniently solved using LMI optimization technique. In addition, as a comparison, a full-order FLO is suggested for robust actuator fault reconstruction. Finally, a numerical example and simulation are provided to demonstrate the effectiveness of the proposed approaches.

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Authors and Affiliations

  1. College of Astronautics, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China

    Qingxian Jia

  2. Institute of Spacecraft Application System Engineering, CAST, Beijing, 100094, P. R. China

    Lina Wu

  3. Research Center of Satellite Technology, Harbin Institute of Technology, Harbin, 150001, P. R. China

    Huayi Li

Authors
  1. Qingxian Jia
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  2. Lina Wu
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  3. Huayi Li
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Correspondence to Qingxian Jia.

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Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Recommended by Associate Editor Do Wan Kim under the direction of Editor Euntai Kim. This work is partially supported by National Natural Science Foundation of China (Grant No.61703276), National Defense Science and Technology Funds for Excellent Young Scholar (Grant No.2017-JCJQ-ZQ-034), and the Doctoral Program of Innovation and Entrepreneurship in Jiangsu Province of China.

Qingxian Jia received his M.S. degree and a Ph.D. degree in control science and engineering from Harbin Institute of Technology, China, in 2010, and in 2015, respectively. He worked as a Post-Doctoral Fellow with the Shanghai Jiao Tong University, China from July 2015 to March 2018. He is currently an Associate Professor with the Nanjing University of Aeronautics and Astronautics, Nanjing, China. His current research interests include fault diagnosis, fault-tolerant control, and application on spacecraft systems, spacecraft formation flying control, and spacecraft mission planning.

Lina Wu received her M.S. degree and a Ph.D. degree in control science and engineering from Harbin Institute of Technology, China, in 2006, and in 2013, respectively. She worked as an Engineer with Space Star Technology co., LTD, Beijing, China from 2014 to 2018. She is currently an Engineer with the Institute of Spacecraft Application System Engineering, CAST, Beijing, China. Her current research interests include fault diagnosis and fault-tolerant control and application on Spacecraft systems.

Huayi Li received his Ph.D. degree in control science and engineering from Harbin Institute of Technology, China, in 2008. Currently, he is a full professor in Spacecraft Design in Harbin Institute of Technology, Harbin, China. His research interests include fault monitoring, satellite formation and satellite electronic testing.

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Jia, Q., Wu, L. & Li, H. Robust Actuator Fault Reconstruction for Takagi-Sugeno Fuzzy Systems with Time-varying Delays via a Synthesized Learning and Luenberger Observer. Int. J. Control Autom. Syst. 19, 799–809 (2021). https://doi.org/10.1007/s12555-019-0747-4

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  • DOI: https://doi.org/10.1007/s12555-019-0747-4

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