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: 2013
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: 41
: . . 2D- / . 41. .: , 2013. .113-145.
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(.): iterative learning control, network communication channel, delay, Markovian model, stochastic stability, linear matrix inequalities.
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(.): A two-dimensional discrete-time iterative learning control system where a sensor and a controller exchange information over network communication channel, is considered. The problem of system stabilization along the trial is being solved in the presence of possible time-varying delays and packet dropouts. A control law is designed for both system state and output vector. Time-varying delays and packet dropouts are modeled as independent Markovian chains. The resulting closed-loop system is transformed into a 2D discrete-time Roesser model with Markovian jumps characterization. Then, sufficient conditions for system stabilization of single-packet transmission are given in terms of linear matrix inequalities. A numerical example illustrates the effectiveness of the results.
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