Ultimately Bounded State Estimation for Discrete-Time Singularly Perturbed Complex Networks Under Bit Rate Constraints

In this paper, the ultimately bounded state estimation problem is investigated for discrete-time singularly perturbed complex networks (SPCNs) under bit rate constraints. The measurement outputs of the considered SPCNs are transmitted to the remote estimator through a bandwidth-limited wireless network where a coding-decoding mechanism is employed. A state estimator is developed by fully considering the effects of the constrained bit rate to achieve the desired estimation performance index. The boundedness of the estimation error dynamics is analyzed with the help of the constructed Lyapunov-like functional candidate. Finally, a simulation example is used to verify the correctness of the obtained theoretical results.