Adaptive Fault Tolerant Control of Multi-time-scale Singularly Perturbed Systems

Fault‐tolerant control of singularly perturbed systems with actuator faults and disturbances

“…To sum up, the contributions of this work are summarized as follows: We propose a general FTC design framework for a class of nonlinear SPS in presence of actuator faults and external disturbances, which cannot be decomposed according to the fast‐slow dynamics. The proposed composite FTC laws consist of a composite controller designed to ensure the stability of the nominal model and a compensation law used to suppress the effects of the external disturbance and actuator fault. Moreover, several SPP‐independent composite FTC laws are developed to reduce the design complexity and expand their applications. Unlike Reference 25-27, we further provide an upper bound on SPP guaranteeing that our results can be applied. …”

“…The proposed FTC law in Reference 26 cannot be applied here directly. Recently, Reference 27 addressed the FTC design for linear SPSs that face both actuator faults and external disturbances. However, the results in Reference 27 do not work for our case since the considered model is nonlinear one.…”

“…Recently, Reference 27 addressed the FTC design for linear SPSs that face both actuator faults and external disturbances. However, the results in Reference 27 do not work for our case since the considered model is nonlinear one. In addition, both Reference 26 and 27 do not provide the upper bound of SPP.…”

“…In Reference 25, it is addressed the problem of FTC design for delayed SPSs with sensor fault, while in Reference 26, the authors considered the FTC design for nonlinear SPSs under actuator faults. As in many practical applications, one has to also take into account external disturbances, Reference 27 addressed the FTC design for linear SPSs that face both actuator faults and external disturbances. Recently, Wang et al 28 constructed a reliable FTC controller for discrete‐time Takagi‐Sugeno fuzzy SPSs with Markov jump topology.…”

“…One of the main challenges in the FTC design for SPSs is the fact that the fast‐slow decomposition for dynamics with actuator faults and disturbances is not available. While the control design proposed in References 27 and 28 depends on the SPP, this value cannot be accurately known in many applications. This is the reason why we are proposing some SPP‐independent FTC laws that guarantee asymptotic stability of the closed loop even when the SPP is roughly known.…”