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This paper addresses the problem of delay-range-dependentiterativelearning reliable guaranteed cost control of a class of batch processeswith uncertainties, state delay and actuator failures, where the maincontribution is in the relevant concept of H∞iterative learning fault-tolerant guaranteed costcontrol based on an equivalent two-dimensional system descriptionof these processes. The H∞iterativelearning reliable guaranteed cost controller (ILRGCC) is formulatedto include a robust extended feedback control for ensuring the performancesover time and an iterative learning control (ILC) for improving thetracking performance from cycle to cycle, such that it can not onlyguarantee the closed-loop convergence along both the time and thecycle directions but also satisfy both the H∞performance index and a cost function preserving upperbounds for all admissible uncertainties and any actuator failures.To achieve the least guaranteed cost for the closed-loop system, aconvex optimization problem with linear matrix inequality (LMI) constraintsis formulated for the design of the optimal guaranteed cost controllersuch that the delay-range-dependent existing condition of the proposedILRGCC design can also be given by LMIs, where the lower and upperdelay bounds only change along time tdirection.An illustrative example of applications to the nozzle packing pressurecontrol in injection molding has been developed to demonstrate theeffectiveness and merits of the proposed method. [ABSTRACT FROM AUTHOR]

Abstract: Based on a two-dimensional (2D) Fornasini–Marchsini system description of a batch process in industry, a robust state feedback integrated with an iterative learning reliable control (FILRC) scheme is proposed. The scheme is intended for batch processes with uncertain perturbations and state delay subject to actuator failures, which is dependent on the upper and lower delay bounds of the interval time-varying delay. The relevant concepts of fault-tolerance are introduced. The proposed control law can guarantee closed-loop convergence along both time and cycle directions to satisfy H ∞ performance even with unknown disturbances and actuator failures. By introducing a new 2D Lyapunov–Krasovskii functional candidate and adding a differential inequality without introducing redundant free-weighting matrices to the difference Lyapunov functional for 2D systems possessing two directions, conditions for the existence of the proposed FILRC scheme are established in terms of linear matrix inequalities (LMIs). By solving these LMIs, the FILRC law is explicitly formulated together with an adjustable robust H ∞ performance level. Applications to injection velocity control show that the proposed FILRC achieves the design objectives well. [Copyright &y& Elsevier]