Abstract

New results on emulation of a high gain observer over networks are presented. Using a general framework and a suitable Lyapunov function, some explicit conditions on the maximum allowable transmission interval are given for a large class of network protocols.

Highlights

  • The control and observation of systems called Networked control systems (NCSs) are currently attracting a lot of attention in the control community

  • We provide a framework and use a Lyapunov approach to guarantee an exponential stability of the observation error and improve the bounds of maximum allowable transfer interval (MATI) compared to small gain approaches

  • We specially show that by using the framework presented below and a suitable Lyapunov-Krasovskii functional, we can derive an exponential stability of the observation error when the network is in zero order hold (ZOH) fashion

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Summary

INTRODUCTION

The control and observation of systems called Networked control systems (NCSs) are currently attracting a lot of attention in the control community. The present note is focused on the implementation of a class of nonlinear observers on NCSs. the control of these systems has received considerable attention in the recent years, only few papers which deal with the observer design problem exist in the literature. In [7], the authors consider the design of a linear observer for NCSs in the presence of time delay and sampling phenomenons without considering the constraints introduced by the protocols. They give sufficient conditions guaranteing asymptotic stability, by using a Lyapunov-Krasovskii approach.

NOTATIONS AND PRELIMINARIES
R 2 R where x
OBSERVERS FOR NETWORKED CONTROL SYSTEMS
N sented by the discrete time system:
HIGH GAIN OBSERVER FOR NCSS
High Gain Observer in ZOH Fashion
High Gain Observer With an Output Predictor
SIMULATIONS
CONCLUSION

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