Design of linear matrix inequality-based adaptive barrier global sliding mode fault tolerant control for uncertain systems with faulty actuators

Author : Kamran naseri ,mai the vu ,saleh mobayen ,amin najafi ,afef fekih

Keyword : Sliding mode control; actuator fault; linear matrix inequality; adaptive control; uncertain system

Subject : Engineering research

Article Type : Original article (research)

DOI : 10.3390/math10132159

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Design of linear matrix inequality-based adaptive barrier global sliding mode fault tolerant control for uncertain systems with faulty actuators QR Code

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Abstract : This paper proposes a linear matrix inequality (LMI)-based adaptive barrier global sliding mode control (ABGSMC) for uncertain systems with faulty actuators. The proposed approach is derived using a novel global nonlinear sliding surface to guarantee the global dynamic property and to ensure system stability and the occurrence of sliding in the presence of actuator faults. The optimal coefficients of the sliding surface are determined using the LMI method. The system’s asymptotic stability is proven using Lyapunov theory. Additionally, an adaptive barrier function is considered to ensure the convergence of the output variables to a predefined locality of zero in a limited time, even where external disturbances and actuator faults are present. In order to decrease the steepness of the control action and mitigate the chattering phenomenon, the hyperbolic tangent function is employed instead of the signum function in the sliding mode control. The proposed method is validated using a simulation study of the Genesio’s chaotic system

Article by : Amin Najafi

Article add date : 2022-09-03


How to cite : Kamran naseri ,mai the vu ,saleh mobayen ,amin najafi ,afef fekih. (2022-September-03). Design of linear matrix inequality-based adaptive barrier global sliding mode fault tolerant control for uncertain systems with faulty actuators. retrieved from https://www.openacessjournal.com/abstract/1120