Event-triggered network-based state observer design of positive systems

This paper studies the problem of network-based l(1)-gain state observer design for nonlinear positive systems. With the received signals transmitted through common communication channels, a network-based observer is designed to estimate the state variables of a positive system. To save the limited communication bandwidth, a novel event generator is constructed in the network-based observer framework. In the established network-based models, nonlinear functions satisfying Lipschitz condition are considered and the probabilistic distribution of networked transmission delays is described by a Bernoulli distributed sequence. By constructing linear Lyapunov functions, a criterion ensuring the existence of the l(1)-gain observer is proposed. And a linear programming method to compute the gain matrix of the desired observer is provided. The effectiveness of derived results are demonstrated by two numerical examples. (C) 2018 Elsevier Inc. All rights reserved.