Regular Papers

International Journal of Control, Automation and Systems 2017; 15(6): 2660-2668

Published online December 12, 2017

https://doi.org/10.1007/s12555-017-0022-5

© The International Journal of Control, Automation, and Systems

Robust H∞ Control for Discrete Switched Systems with Random Sensor and Actuator Faults

Yonghui Liu* and Yugang Niu

Shanghai Dianji University

Abstract

In this paper, the problem of robust H∞ control is considered for a class of discrete switched systems with state unavailable. A key feature of the controlled system is that the random faults are assumed to occur from the sensor to the controller and from the controller to the actuator, simultaneously. Moreover, the missing probability of each channel is governed by a random variable that satisfying certain probabilistic distribution in the interval [0;q ] (q 1), which is a more general form of fault model. First, an observer-based feedback controller is designed. And then, by adopting the average dwell time method, a sufficient condition for the mean-square exponential stability and a guaranteed performance of the system are obtained. Finally, a numerical simulation example is given to demonstrate the effectiveness of the proposed method."

Keywords Average dwell time, H∞ control, sensor/actuator faults, switched systems.

Article

Regular Papers

International Journal of Control, Automation and Systems 2017; 15(6): 2660-2668

Published online December 1, 2017 https://doi.org/10.1007/s12555-017-0022-5

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

Robust H∞ Control for Discrete Switched Systems with Random Sensor and Actuator Faults

Yonghui Liu* and Yugang Niu

Shanghai Dianji University

Abstract

In this paper, the problem of robust H∞ control is considered for a class of discrete switched systems with state unavailable. A key feature of the controlled system is that the random faults are assumed to occur from the sensor to the controller and from the controller to the actuator, simultaneously. Moreover, the missing probability of each channel is governed by a random variable that satisfying certain probabilistic distribution in the interval [0;q ] (q 1), which is a more general form of fault model. First, an observer-based feedback controller is designed. And then, by adopting the average dwell time method, a sufficient condition for the mean-square exponential stability and a guaranteed performance of the system are obtained. Finally, a numerical simulation example is given to demonstrate the effectiveness of the proposed method."

Keywords: Average dwell time, H∞ control, sensor/actuator faults, switched systems.

IJCAS
March 2025

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

Stats or Metrics

Share this article on

  • line

Related articles in IJCAS

IJCAS

eISSN 2005-4092
pISSN 1598-6446