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Updated: Apr 27, 2026

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator
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Output-feedback stochastic nonlinear adaptive control against Markovian jump actuator failures.

Jiao-Yang Zhang1, Xinpeng Fang1, Bing Liu2

  • 1National Key Laboratory of Multispectral Information Intelligent Processing Technology, School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan 430074, China.

ISA Transactions
|April 25, 2026
PubMed
Summary

This study develops an adaptive fault-tolerant controller for stochastic nonlinear systems with Markovian jump actuator failures. The controller ensures system stability and limits tracking errors despite uncertainties and failures.

Keywords:
Adaptive controlDecentralized controlMarkovian jump actuator failuresStochastic nonlinear output-feedback systems

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Area of Science:

  • Control Systems Engineering
  • Nonlinear Dynamics
  • Stochastic Processes

Background:

  • Designing controllers for stochastic uncertain nonlinear systems with Markovian jump actuator failures is challenging due to nonlinearities, actuator failures, and complex stability analysis.
  • Existing methods struggle with mismatched uncertainties, non-vanishing disturbances, and the interconnected terms arising from multiple actuator failures.

Purpose of the Study:

  • To investigate and develop an output-feedback adaptive fault-tolerant control strategy for stochastic nonlinear systems experiencing Markovian jump actuator failures.
  • To address challenges posed by system uncertainties, stochastic disturbances, and actuator failures in both single-loop and large-scale systems.

Main Methods:

  • Re-expressing the system into an output-feedback canonical form by combining plant and failure parameters.
  • Utilizing a high-gain K-filter for state reconstruction and employing stochastic Lyapunov design with backstepping for controller synthesis.
  • Developing a decentralized control strategy for large-scale systems with uncertain interactions.

Main Results:

  • An adaptive fault-tolerant controller is proposed for single-loop systems, effectively handling Markovian jump actuator failures.
  • The control strategy is extended to large-scale systems, ensuring global ultimate boundedness of closed-loop signals in probability.
  • Tracking errors are shown to be limited to an arbitrarily small residual set in the mean quartic sense.

Conclusions:

  • The proposed output-feedback adaptive control method effectively addresses stochastic nonlinear systems with Markovian jump actuator failures.
  • The developed decentralized strategy enhances stability and performance in large-scale systems under uncertain interactions.
  • Simulation results validate the theoretical findings, confirming the controller's efficacy.