Blazej Cichy

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The unique characteristic of a repetitive process is a series of sweeps, termed passes, through a set of dynamics defined over a finite duration with resetting before the start of the each new one. On each pass an output, termed the pass profile is produced which acts as a forcing function on, and hence contributes to, the dynamics of the next pass profile.(More)
This paper uses a 2D system setting in the form of repetitive process stability theory to design an iterative learning control law that is robust against model uncertainty. In iterative learning control the same finite duration operation, known as a trial over the trial length, is performed over and over again with resetting to the starting location once(More)
Iterative Learning Control (ILC) is now well established for linear and nonlinear dynamics in terms of both the underlying theory and experimental application. This approach is specifically targeted at applications where the same operation is repeated over a finite duration with resetting between successive executions. Each execution is known as a trial and(More)
An unconditionally stable finite difference scheme for systems whose dynamics are described by a second-order partial differential equation is developed with use of regular hexagonal grid. The scheme is motivated by the well-known Crank-Nicolson discretization which was developed for first-order systems. The stability of the finite-difference scheme is(More)
Repetitive processes are a distinct class of twodimensional (2D) systems (i.e. information propagation in two independent directions occurs) of both systems theoretic and applications interest. They cannot be controlled by direct extension of existing techniques from either standard (termed 1D here) or (often) 2D systems theory. In this paper we begin the(More)
Iterative Learning Control (ILC) is now well established for linear and nonlinear dynamics in terms of both the underlying theory and experimental application. This approach is specifically targeted at applications where the same operation is repeated over a finite duration with resetting between successive executions. Each execution is known as a trial and(More)