Adaptive fault‐tolerant control of an axially moving system with time‐varying constraints

Abstract

In this paper, for an axially moving system, with the purpose of suppressing vibration, an adaptive fault‐tolerant control method with time‐varying constraints is investigated. The dynamics of the system are comprised of an ordinary differential equation coupled with a partial differential equation. The method used in our study is known as fault‐tolerant control to process affairs of actuator failures occur. Actual control substitutes for ideal control to regulate the vibration when the actuator occurs undesired failures. Time‐varying constraints are appropriate to cope with the variation range of the performance. Lyapunov function has proven that the adaptive control law is feasible, as well as verifying the exponential stability of the system. Eventually, simulations we have done suggest that the effectiveness of the designed control is feasible.

State estimation and frequency stabilization of multi‐area power systems via fault‐alarm approach

“…Also in practice, the replacement of the actuator is not possible and it is not cost efficient at all the time. To alleviate this circumstance, a substantial amount of works on designing fault-tolerant control protocol are reported in the literature [20][21][22][23][24][25][26][27][28][29]. An observer-based non-fragile control scheme has been addressed for PSs with electric vehicles to guarantee the finite-time boundedness and satisfied H ∞ performance index in [20].…”

“…Subsequently, from a practical point of view, the necessity of the fault‐tolerant control is once if the actuators undergo failure. In this regard, the effective technique called fault‐alarm‐based hybrid control for control systems has been reported in other studies [30–32]. More specifically, the signal from fault‐alarm accommodates the switching between the robust and fault‐tolerant control.…”