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Linear repetitive process control theory applied to a physical example. (English) Zbl 1046.93037

In the case of linear dynamics, repetitive processes are a distinct class of 2D linear systems with uses in areas ranging from long-wall coal cutting and metal rolling operations to iterative learning control schemes. The main feature, which makes them distinct from other classes of 2D linear systems, is that information propagation in one of the two independent directions occurs only over a finite duration. This, in turn, means that a distinct systems theory must be developed for them for onward translation into efficient routinely applicable controller design algorithms for applications domains. Here, the dynamics of these processes are introduced by outlining the development of models for various metal rolling operations. These models are then used to illustrate some recent results on the development of a comprehensive control theory for these processes.

MSC:

93C95 Application models in control theory
93C35 Multivariable systems, multidimensional control systems
93A30 Mathematical modelling of systems (MSC2010)
93C05 Linear systems in control theory
93B51 Design techniques (robust design, computer-aided design, etc.)
93C23 Control/observation systems governed by functional-differential equations
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