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IMA Journal of Mathematical Control and Information 1993 10(3):177-193; doi:10.1093/imamci/10.3.177
© 1993 by Institute of Mathematics and its Applications
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Output-feedback control of discrete linear repetitive processes

E. ROGERS and D. H. OWENS

Advanced Systems Research Group, Department of Aeronautics & Astronautics, University of Southampton Southampton S09 5NH, U.K.
Center for Systems and Control Engineering, School of Engineering, University of Exeter North Park Road, Exeter EX4 4QF, U.K.

Repetitive, or multipass, processes are a class of 2D systems characterized by a recursive action over a finite fixed duration—the pass length. On each sweep or pass through the dynamics, an output—the pass profile—is produced which acts as a forcing function on, and hence contributes to, the next pass profile. The basic unique control problem is that the output sequence can contain oscillations which increase in amplitude from pass to pass.

Discrete processes are a subclass which have well-defined structural links with standard linear systems. Previous work has used these links to develop computationally feasible stability tests which can be implemented using only standard linear-systems tests. This paper reports the first significant results on the theoretical basis of output-feedback control schemes. The major result is a return-difference theory for these schemes.


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