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PI control of discrete linear repetitive processes. (English) Zbl 1137.93379

Summary: Repetitive processes are a distinct class of 2D systems (i.e. information propagation in two independent directions) of both systems theoretic and applications interest. They cannot be controlled by direct extension of existing techniques from either standard (termed 1D here) or 2D systems theory. In this paper, we exploit their unique physical structure to show how two term, i.e. proportional Plus Integral (or PI) action, can be used to control these processes to produce desired behavior (as opposed to just stability).

MSC:

93C65 Discrete event control/observation systems
93B51 Design techniques (robust design, computer-aided design, etc.)
93D25 Input-output approaches in control theory
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References:

[1] Dullerud, G. E.; D’Andrea, R., Distributed control of heterogeneous systems, IEEE Transactions on Automatic Control, 49, 12, 2113-2128 (2004) · Zbl 1365.93317
[2] Gałkowski, K.; Lam, J.; Rogers, E.; Sulikowski, B.; Paszke, W.; Owens, D. H., LMI based stability analysis and robust controller design for discrete linear repetitive processes, International Journal of Robust and Nonlinear Control, 13, 1195-1211 (2003) · Zbl 1051.93054
[3] Owens, D. H.; Amann, N.; Rogers, E.; French, M., Analysis of linear iterative learning control schemes—a 2D systems/repetitive processes approach, Multidimensional Systems and Signal Processing, 11, 1/2, 125-177 (2000) · Zbl 0987.93046
[4] Rogers, E., & Owens, D. H., 1992. Stability analysis for linear repetitive processesLecture notes in control and information sciences series; Rogers, E., & Owens, D. H., 1992. Stability analysis for linear repetitive processesLecture notes in control and information sciences series · Zbl 0772.93072
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