International Journal of Fuzzy Systems

, Volume 21, Issue 3, pp 685–699 | Cite as

Observer-Based Adaptive Fuzzy Fault-Tolerant Control for Nonlinear Systems Using Small-Gain Approach

  • Hang Su
  • Weihai ZhangEmail author


This paper addresses the adaptive fault-tolerant control problem for a class of nonlinear systems with unmodeled dynamics, actuator faults and immeasurable states. Fuzzy logic systems are used to approximate the unknown nonlinear functions. A new input-driven filter is designed to cope with the problem caused by the immeasurable states, and the lower bound of the unknown function \(\vartheta _j({\bar{x}}_j)\) is contained in the filter. Based on backstepping technique, a recursive design process is designed for the considered nonlinear system. Combining input-to-state practically stable theory with small-gain approach, the designed adaptive fuzzy controller guarantees the semi-global uniform ultimate boundedness of all variables in the closed-loop system. The main contributions of this paper lie in that not only the nonlinear system under consideration is more general, but also an effective output-feedback control scheme is proposed for the investigated nonlinear system. Finally, simulation results are depicted to validate the efficiency of our presented control method.


Adaptive fault-tolerant control Immeasurable states Fuzzy logic systems Backstepping technique Small-gain approach 



This work was supported by the National Natural Science Foundation of China (Nos. 61573227, 61633014, 61703248), the Research Fund for the Taishan Scholar Project of Shandong Province of China and SDUST Research Fund (No. 2015TDJH105).


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Copyright information

© Taiwan Fuzzy Systems Association 2019

Authors and Affiliations

  1. 1.College of Electrical Engineering and AutomationShandong University of Science and TechnologyQingdaoChina

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