Optimal modified tracking performance of discrete-time NCSs with packet dropouts constraint

The optimal modified tracking performance of single-input single-output (SISO) discrete-time networked control systems (NCSs) with packet dropouts is investigated in this paper. An explicit expression is obtained by using the method of partial fraction and co-prime factorization. A new modified tracking performance index of NCSs is provided to present variations in the tracking error when there is no integrator in the plant. The obtained result demonstrates that the optimal modified tracking performance is related to the intrinsic properties of the given plant such as non-minimum phase (NMP) zeros, unstable poles. Moreover, the modified factor, packet dropouts and channel noise have impact on the optimal modified performance of the NCSs. Finally, some typical examples are given to illustrate the theoretical results.