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<p>A discrete-time fuzzy singularly perturbed model (DTFSPM) with additive faults and fault-tolerant (FT) control law with fault diagnosis function are presented to control nonlinear systems with micro-parameters and multi-faults (actuator, sensor, and component faults) in this paper. A DTFSPM with additive faults is constructed to describe the nonlinear characteristics, micro-parameters, and faults. An integrated fuzzy <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(H_\infty \)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>H</mi> <mi>∞</mi> </msub> </math></EquationSource> </InlineEquation> control strategy is presented, which includes a fuzzy fault observer with micro-parameter, a dynamic output filter, and a hybrid feedback controller. The controller existence theorem is derived using LMIs and Lyapunov theorem. A method is proposed to transform nonlinear matrix inequalities with both a variable matrix and its own inverse matrix into LMIs. Simulation results for CE150 helicopter verify that the presented approaches are superior to the existing results that only consider sensor or actuator faults.</p>

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A Discrete-Time Fuzzy Singularly Perturbed Modeling and Fault-Tolerant Control for Nonlinear Systems with Micro-parameters

  • 期刊论文

  • 发表日期：

    2026年4月1日

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  • Jinxiang Chen,
  • Yanguang Sun,
  • Xiaodong Hao

摘要

A discrete-time fuzzy singularly perturbed model (DTFSPM) with additive faults and fault-tolerant (FT) control law with fault diagnosis function are presented to control nonlinear systems with micro-parameters and multi-faults (actuator, sensor, and component faults) in this paper. A DTFSPM with additive faults is constructed to describe the nonlinear characteristics, micro-parameters, and faults. An integrated fuzzy \(H_\infty \) H ∞ control strategy is presented, which includes a fuzzy fault observer with micro-parameter, a dynamic output filter, and a hybrid feedback controller. The controller existence theorem is derived using LMIs and Lyapunov theorem. A method is proposed to transform nonlinear matrix inequalities with both a variable matrix and its own inverse matrix into LMIs. Simulation results for CE150 helicopter verify that the presented approaches are superior to the existing results that only consider sensor or actuator faults.