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Event-triggered adaptive control of uncertain non-linear systems under input delay and limited resources

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Abstract

In this paper, both input delay and limited bandwidth challenges in uncertain networked control systems have been tackled. For this purpose, an event-triggered adaptive controller based on backstepping technique is designed for a general class of non-linear uncertain MIMO systems. The event-triggered mechanism is placed in the sensor-to-controller channel to reduce communication burden and save computational resources. Rather than predefined fixed or simple relative triggering thresholds, the proposed triggering condition is derived based on the negative semi-definiteness of derivative of Lyapunov function. To handle input delay problem, an auxiliary compensation system based on integral of input signal is introduced in the controller design. System stability are guaranteed under proposed scheme with no Zeno behavior. Simulation results on three-link cylindrical robotic arm show that the proposed control scheme successfully compensates for input delays and ensures a substantial saving in computational and network resources characterized by number of required control updates and signal transmissions over the network.

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Acknowledgements

The first author would like to thank Damascus University, Ministry of Higher Education, Syrian Arab Republic for their financial supports. We also would like to thank Eng. Baian El-Sebaay for her help in editing the figures of the paper.

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Correspondence to Sami Al Issa.

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The authors declare that they have no conflict of interest.

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This work was supported in part by the Fellowship from Damascus University, Syrian Arab Republic.

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Al Issa, S., Kar, I. Event-triggered adaptive control of uncertain non-linear systems under input delay and limited resources. Int. J. Dynam. Control 9, 1703–1710 (2021). https://doi.org/10.1007/s40435-021-00767-7

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  • DOI: https://doi.org/10.1007/s40435-021-00767-7

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