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Iterative learning control for a class of nonlinear systems with random packet losses. (English) Zbl 1254.93145
Summary: This paper considers the problem of Iterative Learning Control (ILC) for a class of nonlinear systems with random packet dropouts. It is assumed that an ILC scheme is implemented via a Networked Control System (NCS), and that during the packet transfer between the remote nonlinear plant and the ILC controller packet dropout occurs. A new formulation is employed to model the packet dropout case, where the random dropout rate is transformed into a stochastic parameter in the system’s representation. Through rigorous analysis, it is shown that under some given conditions, the iterative learning control can guarantee the convergence of the tracking error although some packets are missing. The analysis is also supported by a numerical example.

MSC:
93E03 Stochastic systems in control theory (general)
93C10 Nonlinear systems in control theory
68T05 Learning and adaptive systems in artificial intelligence
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