Optimal Modified Tracking Performance of Time‐Delay Systems with Packet Dropouts Constraint

Abstract

This paper investigates the optimal modified tracking performance of networked time‐delay systems with packet dropout constraint. A novel modified tracking performance index of networked time‐delay systems is proposed which prevents variations in the tracking error from leading to invalid data when there is no integrator in the plant. Some explicit expressions are obtained by using spectral decomposition. The obtained results show that the optimal modified tracking performance is related to the intrinsic properties of a given plant such as non‐minimum phase (NMP) zeros, unstable poles and time‐delay. Furthermore, the modified factor and packet dropout probability affect the optimal modified tracking performance of the networked time‐delay systems. The optimal modified tracking performance with the channel input power constraint is obtained by searching through all stabilizing one‐parameter compensators. Finally, the efficiency of the result is verified using some typical examples.

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