Automatica (Journal of IFAC)
Analysis of Linear Iterative Learning Control Schemes -A 2D Systems/Repetitive Processes Approach
Multidimensional Systems and Signal Processing - Recent progress in multidimensional control theory and applications
Iterative learning control design fro uncertain dynamic systems with delaysed states
Dynamics and Control
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Iterative Learning Control: Brief Survey and Categorization
IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews
Time-delay systems: an overview of some recent advances and open problems
Automatica (Journal of IFAC)
Brief Iterative learning control with initial rectifying action
Automatica (Journal of IFAC)
Monotonically convergent iterative learning control for linear discrete-time systems
Automatica (Journal of IFAC)
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This paper is mainly devoted to the iterative learning control (ILC) design for time-delay systems (TDS) in the presence of initial shifts, especially when the system parameters are subject to polytopic-type uncertainties. The ILC laws using a pure error term and/or an initial rectifying action to address the initial shifts are considered, and the two-dimensional (2-D) system theory is employed to develop necessary and sufficient conditions for the asymptotic stability of ILC. For the monotonic convergence of ILC, sufficient conditions are presented in terms of linear matrix inequalities (LMIs) based on the bounded real lemma (BRL). It is shown that adding the pure error term in the D-type learning law helps to meet certain LMIs to achieve a monotonically convergent ILC law. Specifically, this property is first investigated for linear time-invariant systems (LTIS), which is then discussed for the possible extension to TDS. Two numerical examples are included to illustrate the main results.