Regular Papers

International Journal of Control, Automation and Systems 2020; 18(12): 3121-3132

Published online June 24, 2020

https://doi.org/10.1007/s12555-019-0783-0

© The International Journal of Control, Automation, and Systems

Observer-based H∞ Control for Synchronization in Delayed Neural Networks Under Multiple Disturbances

Ting Wang*, Jifeng Ge, Tao Li, Xin Chen, and Shumin Fei

Nanjing Forestry University

Abstract

In this paper, the problem on master-slave synchronization is investigated for a class of delayed neural networks (DNNs) subject to multiple variable disturbances, where the synchronization can be widely utilized in many engineering fields such as teleoperation control, secure communication, and so on. Initially, the unknown disturbances are assumed to be generated by two external systems, in which the additional ones are required to belong to the space of L2[0,+∞). Then based on disturbance-observer-based-control method, H∞ control technique, and composite controller, a sufficient condition on designing the observer gains and controller ones are established to ensure that the overall closed-loop system is asymptotically stable with H∞ control performance. Furthermore, by using matrix transformation technique, the derived condition is converted into the linear matrix inequality (LMI) forms, which can be easily checked and present much less conservatism. Finally, some simulations and comparisons in an example are given to illustrate the effectiveness of our control methods.

Download: http://link.springer.com/article/10.1007/s12555-019-0783-0

Keywords Disturbance observer-based control, master-slave synchronization, multiple unknown disturbances, neural networks, time-varying delay.

Article

Regular Papers

International Journal of Control, Automation and Systems 2020; 18(12): 3121-3132

Published online December 1, 2020 https://doi.org/10.1007/s12555-019-0783-0

Copyright © The International Journal of Control, Automation, and Systems.

Observer-based H∞ Control for Synchronization in Delayed Neural Networks Under Multiple Disturbances

Ting Wang*, Jifeng Ge, Tao Li, Xin Chen, and Shumin Fei

Nanjing Forestry University

Abstract

In this paper, the problem on master-slave synchronization is investigated for a class of delayed neural networks (DNNs) subject to multiple variable disturbances, where the synchronization can be widely utilized in many engineering fields such as teleoperation control, secure communication, and so on. Initially, the unknown disturbances are assumed to be generated by two external systems, in which the additional ones are required to belong to the space of L2[0,+∞). Then based on disturbance-observer-based-control method, H∞ control technique, and composite controller, a sufficient condition on designing the observer gains and controller ones are established to ensure that the overall closed-loop system is asymptotically stable with H∞ control performance. Furthermore, by using matrix transformation technique, the derived condition is converted into the linear matrix inequality (LMI) forms, which can be easily checked and present much less conservatism. Finally, some simulations and comparisons in an example are given to illustrate the effectiveness of our control methods.

Download: http://link.springer.com/article/10.1007/s12555-019-0783-0

Keywords: Disturbance observer-based control, master-slave synchronization, multiple unknown disturbances, neural networks, time-varying delay.

IJCAS
May 2024

Vol. 22, No. 5, pp. 1461~1759

Stats or Metrics

Share this article on

  • line

Related articles in IJCAS

IJCAS

eISSN 2005-4092
pISSN 1598-6446