Jajarmi, AminHajipour, MojtabaBaleanu, Dumitru2020-03-252020-03-252018Jajarmi, Amin; Hajipour, Mojtaba; Baleanu, Dumitru, "A new approach for the optimal control of time-varying delay systems with external persistent matched disturbances", Journal of Vibration And Control, Vol. 24, No. 19, pp. 4505-4512, (2018).1077-5463http://hdl.handle.net/20.500.12416/2728The aim of this study is to develop an efficient iterative approach for solving a class of time-delay optimal control problems with time-varying delay and external persistent disturbances. By using the internal model principle, the original time-delay model with disturbance is first converted into an augmented system without any disturbance. Then, we select a quadratic performance index for the augmented system to form an undisturbed time-delay optimal control problem. The necessary optimality conditions are then derived in terms of a two-point boundary value problem involving advance and delay arguments. Finally, a fast iterative algorithm is designed for the latter advance-delay boundary value problem. The convergence of the new iterative technique is also investigated. Numerical simulations verify that the proposed approach is efficient and provides satisfactory results.eninfo:eu-repo/semantics/closedAccessOptimal ControlTime-Delay SystemPersistent DisturbanceTime-Varying DelayIterative MethodArticle24194505451210.1177/1077546317727821