Abstract
In this paper, the problem of state estimation for nonlinear Lurie systems is studied subject to only the measurable system outputs. We design the state observer, whose input signals are transmitted via the communication channel for state estimation of Lurie systems. The communication channel with a 2N-level logarithmic quantizer is described, and the transmission delay of communication channel is taken into account. A theoretical analysis of the state estimation is based on the Lyapunov–Krasovakii method, and a sufficient condition of globally asymptotically stable in terms of linear matrix inequality is obtained. The effectiveness of proposed logarithmic quantizer and the practicability of communication channel with transmission delay are validated by an illustrative example.
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