Adaptive fixed‐time dynamic surface fault‐tolerant control of nonlinear systems with sensor faults

Abstract

This article focuses on the problem of adaptive fixed-time dynamic surface fault-tolerant control for a class of strict-feedback nonlinear systems subject to sensor faults. The sensor faults include bias, drift, loss of accuracy and loss of effectiveness. Our control objective is to construct an adaptive fixed-time fault-tolerant controller to ensure that the system output tracks a desired trajectory within fixed time and the tracking error converges to a small area of zero whether the sensor faults occur or what kind of sensor faults take place. One of the characteristics of our proposed scheme is that its tracking time has no connection with the initial conditions of the system. Furthermore, as for unknown nonlinear functions, fuzzy logic systems are utilized to approximate them. And the complex calculation problem, which exists in the traditional backstepping method, has been dealt with by using the dynamic surface control technique. The proposed controller takes into account the reliability, rapidity, robustness and anti-interference of the system simultaneously, and the singularity problem in controller design is solved. In the end, the simulation results illustrate that the presented strategy is feasible and effective.

Practical preset time fault‐tolerant control of uncertain Euler–Lagrange systems with input saturation and guaranteed performance

“…Over the years, numerous PFTC methods have been proposed in the literature. [11][12][13][14][15][16][17] In Reference 15, a terminal sliding mode control (TSMC) method is utilized to expedite the recovery of system performance after actuator faults and the effects of actuator faults are compensated by the neural networks. An adaptive fixed-time fault-tolerant control (FTC) algorithm is derived by combining dynamic surface control and fuzzy control in Reference 16.…”

“…[11][12][13][14][15][16][17] In Reference 15, a terminal sliding mode control (TSMC) method is utilized to expedite the recovery of system performance after actuator faults and the effects of actuator faults are compensated by the neural networks. An adaptive fixed-time fault-tolerant control (FTC) algorithm is derived by combining dynamic surface control and fuzzy control in Reference 16. In Reference 17, adaptive sliding mode control and event-triggered mechanism are skillfully integrated, which can improve the robustness and reduce the transmission burden of the system.…”

“…By contrast, since the PFTC approach refers to the concepts of robust control which needs neither the FDI unit nor the reconfiguration of the nominal controller, it has a simpler structure and can compensate for the effects of the fault much faster. Over the years, numerous PFTC methods have been proposed in the literature 11–17 . In Reference 15, a terminal sliding mode control (TSMC) method is utilized to expedite the recovery of system performance after actuator faults and the effects of actuator faults are compensated by the neural networks.…”

Adaptive integral sliding mode fault‐tolerant control for diesel engine air path system via disturbance observer

“…In order to solve the above control problems, the relevant literature was investigated 22–32 . Sliding mode control, known for its robustness against external disturbances and system uncertainties, has been extensively employed by researchers in the design of fault‐tolerant control methods.…”

“…This design takes into account the presence of actuator faults and parameter uncertainty within the model. For manipulator systems, both References 29 and 30 design fault‐tolerant controllers based on the sliding mode method. The difference is that Reference 29 proposes an integral sliding manifold technology based on auxiliary functions, which can fully eliminate the influence of system uncertainties; while Reference 30 makes the system more stable by using sliding mode observer technology.…”