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Table 1 Control value \(\hat {u}_{t}\) at time t from available buffer contents

From: Multiple descriptions for packetized predictive control

\(\hat {u}_{t}\) s t (1) s t (2) s t (3) s t−1(1) s t−1(2) s t−1(3) s t−2(1) s t−2(2) s t−2(3)
u t (1) 1 x x x x x x x x
u t (1) x 1 x x x x x x x
u t (1) x x 1 x x x x x x
u t−1(2) 0 0 0 1 1 x x x x
u t−1(2) 0 0 0 1 x 1 x x x
u t−1(2) 0 0 0 x 1 1 x x x
u t−2(3) 0 0 0 x 0 0 1 1 1
u t−2(3) 0 0 0 0 x 0 1 1 1
u t−2(3) 0 0 0 0 0 x 1 1 1
  1. “1” indicates that the packet is in the buffer and “0” indicates that it is not. “x” indicates that the control value does not depend on the given packet. In all other cases, we set \(\hat {u}_{t} = 0\)