Observer-based H∞ control of networked non-linear systems for multiple sensors with different packet losses probabilities

Abstract

This paper investigates the observer-based H∞ control problem of networked non-linear systems with global Lipschitz non-linearities and for multiple sensors with different packet-loss rates. It is supposed that in the communication channels from the multiple sensors to the controller each sensor has an individual random data missing probability. The random packet loss is modelled as a Bernoulli distributed white sequence with a known conditional probability distribution. In the presence of random multiple packet losses, sufficient conditions for the existence of an observer-based feedback controller are derived, such that the closed-loop networked non-linear system is globally exponentially stable in the sense of mean square and a prescribed H∞ disturbance-rejection-attenuation performance is also achieved. A linear matrix inequality (LMI) approach for designing such observer-based H∞ controller is then presented. With the help of the LMI solvers, the observer-based H∞ controller can easily be obtained. Finally, a numerical example is used to demonstrate the effectiveness of the proposed method.