Regular Papers

International Journal of Control, Automation, and Systems 2024; 22(1): 93-105

https://doi.org/10.1007/s12555-022-0553-2

© The International Journal of Control, Automation, and Systems

Stabilization and Optimal Control for Markov Jump Linear System With Two Controllers Over Multiple Erasure Channels

Xueyang Li, Chunyan Han*, Juanjuan Xu, and Wei Wang

University of Jinan

Abstract

This paper considers the stabilization and optimal control of networked control systems possessing two controllers, in which the local controller and the remote controller transmit state information over multiple erasure channels. Multiple controllers are introduced for the first time in this multi-mode system. The coupling of the two controllers and the dependence of the adjacent-time jumping parameters make the control problem more difficult. For the finite horizon, the existence conditions and the explicit solutions to the optimal controllers are given in virtue of two coupled difference Riccati equations (CDREs). For the infinite horizon, the necessary and sufficient conditions of stabilizability are presented and the corresponding optimal controllers are derived with a new set of coupled algebraic Riccati equations (CAREs). Numerical examples are used to demonstrate the effectiveness of the proposed algorithms.

Keywords Local control and remote control, Markov jump linear system, multiple erasure channels, networked control systems, optimal control, stabilization.

Article

Regular Papers

International Journal of Control, Automation, and Systems 2024; 22(1): 93-105

Published online January 1, 2024 https://doi.org/10.1007/s12555-022-0553-2

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

Stabilization and Optimal Control for Markov Jump Linear System With Two Controllers Over Multiple Erasure Channels

Xueyang Li, Chunyan Han*, Juanjuan Xu, and Wei Wang

University of Jinan

Abstract

This paper considers the stabilization and optimal control of networked control systems possessing two controllers, in which the local controller and the remote controller transmit state information over multiple erasure channels. Multiple controllers are introduced for the first time in this multi-mode system. The coupling of the two controllers and the dependence of the adjacent-time jumping parameters make the control problem more difficult. For the finite horizon, the existence conditions and the explicit solutions to the optimal controllers are given in virtue of two coupled difference Riccati equations (CDREs). For the infinite horizon, the necessary and sufficient conditions of stabilizability are presented and the corresponding optimal controllers are derived with a new set of coupled algebraic Riccati equations (CAREs). Numerical examples are used to demonstrate the effectiveness of the proposed algorithms.

Keywords: Local control and remote control, Markov jump linear system, multiple erasure channels, networked control systems, optimal control, stabilization.

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