Regular Papers

International Journal of Control, Automation, and Systems 2025; 23(3): 704-713

https://doi.org/10.1007/s12555-023-0905-6

© The International Journal of Control, Automation, and Systems

An Adaptive Fault-tolerant Control Method for Markovian Jump Systems With Actuator Fault, Dead-zone, and External Disturbance

Hai Xuan Le, Van-Tinh Nguyen*, Linh Ngoc Nguyen, Hang Thanh Tran, Duy Duc Pham, and Dang Ngochai

Vietnam National University

Abstract

This paper proposes an adaptive fault-tolerant control method for Markovian jump systems in the presence of actuator fault, unknown dead zone, and external disturbance. There is no prior knowledge of the exact model of the actuator fault. The uncertainty due to the actuator fault and unknown dead zone is tackled by the adaptive rules in the proposed control method. The actuator fault is assumed to be the partial loss of effectiveness. The stochastic stability of the entire system is assured through coupled linear matrix inequalities (LMIs) despite no prior knowledge of actuator fault, dead zone, and external disturbance. The simulation results have validated the merit and efficiency of this proposed control method.

Keywords Actuator Fault, dead zone, fault-tolerant control, linear matrix inequality (LMI), stochastic stability.

Article

Regular Papers

International Journal of Control, Automation, and Systems 2025; 23(3): 704-713

Published online March 1, 2025 https://doi.org/10.1007/s12555-023-0905-6

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

An Adaptive Fault-tolerant Control Method for Markovian Jump Systems With Actuator Fault, Dead-zone, and External Disturbance

Hai Xuan Le, Van-Tinh Nguyen*, Linh Ngoc Nguyen, Hang Thanh Tran, Duy Duc Pham, and Dang Ngochai

Vietnam National University

Abstract

This paper proposes an adaptive fault-tolerant control method for Markovian jump systems in the presence of actuator fault, unknown dead zone, and external disturbance. There is no prior knowledge of the exact model of the actuator fault. The uncertainty due to the actuator fault and unknown dead zone is tackled by the adaptive rules in the proposed control method. The actuator fault is assumed to be the partial loss of effectiveness. The stochastic stability of the entire system is assured through coupled linear matrix inequalities (LMIs) despite no prior knowledge of actuator fault, dead zone, and external disturbance. The simulation results have validated the merit and efficiency of this proposed control method.

Keywords: Actuator Fault, dead zone, fault-tolerant control, linear matrix inequality (LMI), stochastic stability.

IJCAS
March 2025

Vol. 23, No. 3, pp. 683~972

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