Exponential Stability of Discrete Linear Repetitive Processes

Dymkov, M, Gaishun, I, Galkowski, K, Rogers, E and Owens, D H (2002) Exponential Stability of Discrete Linear Repetitive Processes. International Journal of Control, 75 (12), 861-869.

Abstract

Repetitive processes are a distinct class of 2D systems of both practical and theoretical interest. Their essential characteristic is repeated sweeps, termed passes, through a set of dynamics defined over a finite duration with explicit interaction between the outputs, or pass profiles, produced as the process evolves. Experience has shown that these processes cannot be studied/controlled by direct application of existing theory (in all but a few very restrictive special cases). This fact, and the growing list of applications areas, has prompted an on-going research programme into the development of a 'mature' systems theory for these processes for onward translation into reliable generally applicable controller design algorithms. In this paper we develop the concept of exponential stability for the very important sub-class of so-called discrete linear repetitive processes and relate the results obtained to those already in both the general 2D linear systems and repetitive process literature.

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Contributors

Author: E Rogers

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