Regular Papers

International Journal of Control, Automation, and Systems 2024; 22(6): 1807-1818

https://doi.org/10.1007/s12555-023-0475-7

© The International Journal of Control, Automation, and Systems

Improved Results on H∞ Performance for Semi-Markovian Jump LPV Systems Under Actuator Saturation and Faults

T. Saravanakumar and Sangmoon Lee*

Kyungpook National University

Abstract

This paper is concerned with the transformed parameter-dependent H∞ controller design for semiMarkovian jump linear parameter varying (S-MJLPV) systems under actuator saturation and faults. In the SMJLPV system, the semi-Markov process transition rate is time-varying during the semi-Markov process and a plant includes time-varying parameters which are bounded and measurable in magnitude. For more practical analysis and synthesis of the S-MJLPV systems, a time-varying actuator fault model and actuator saturation of the controller are considered into account simultaneously. The primary goal of this paper is to develop a transformed parameter-dependent control that makes the closed-loop system stochastically stable with H∞ performance index γ and provides less conservative results against actuator saturation and faults. Based on the mode-dependent Lyapunov function, new sufficient conditions are obtained to ensure that the stochastic stability of S-MJLPV systems. Eventually, an example based on the turbofan-engine model is presented to demonstrate the efficacy of our proposed methods.

Keywords Actuator faults, actuator saturation, linear parameter varying systems, semi-Markovian jump systems, transformed parameter dependent control.

Article

Regular Papers

International Journal of Control, Automation, and Systems 2024; 22(6): 1807-1818

Published online June 1, 2024 https://doi.org/10.1007/s12555-023-0475-7

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

Improved Results on H∞ Performance for Semi-Markovian Jump LPV Systems Under Actuator Saturation and Faults

T. Saravanakumar and Sangmoon Lee*

Kyungpook National University

Abstract

This paper is concerned with the transformed parameter-dependent H∞ controller design for semiMarkovian jump linear parameter varying (S-MJLPV) systems under actuator saturation and faults. In the SMJLPV system, the semi-Markov process transition rate is time-varying during the semi-Markov process and a plant includes time-varying parameters which are bounded and measurable in magnitude. For more practical analysis and synthesis of the S-MJLPV systems, a time-varying actuator fault model and actuator saturation of the controller are considered into account simultaneously. The primary goal of this paper is to develop a transformed parameter-dependent control that makes the closed-loop system stochastically stable with H∞ performance index γ and provides less conservative results against actuator saturation and faults. Based on the mode-dependent Lyapunov function, new sufficient conditions are obtained to ensure that the stochastic stability of S-MJLPV systems. Eventually, an example based on the turbofan-engine model is presented to demonstrate the efficacy of our proposed methods.

Keywords: Actuator faults, actuator saturation, linear parameter varying systems, semi-Markovian jump systems, transformed parameter dependent control.

IJCAS
June 2024

Vol. 22, No. 6, pp. 1761~2054

Stats or Metrics

Share this article on

  • line

Related articles in IJCAS

IJCAS

eISSN 2005-4092
pISSN 1598-6446