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

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  • Control Theory and Applications
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Abstract

This paper is concerned with the transformed parameter-dependent H controller design for semi-Markovian jump linear parameter varying (S-MJLPV) systems under actuator saturation and faults. In the S-MJLPV 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.

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Correspondence to Sangmoon Lee.

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The authors declare no potential conflict of interests. Sangmoon Lee is a Senior Editor of International Journal of Control, Automation, and Systems. Senior Editor status has no bearing on editorial consideration.

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This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (No. NRF2022R1A4A1023248).

T. Saravanakumar received his B.Sc., M.Sc., and M.Phil. degrees in mathematics from Bharathiar University, Coimbatore, India, in 2008, 2010, and 2013, respectively, and a Ph.D. degree from the Department of Mathematics, Anna University Regional Campus, Coimbatore, India, in 2018. He was a Lecturer with the Department of Mathematics, JKK Munirajah College of Technology, Erode, India, from 2010 to 2011. From 2013 to 2014, he was an Assistant Professor with the Department of Mathematics, United Institute of Technology, Coimbatore, India. From 2019 to 2020, he was a Simon’s Postdoctoral fellow with the Institute of Mathematics, Vietnam Academy of Science and Technology, Vietnam. From 2021 to 2023, he was a Postdoctoral fellow with the School of Electronic and Electrical Engineering, Jeonbuk National University and Kyungpook National University, Korea. His current research interests include networked control systems, stochastic systems, fuzzy systems, and robust control techniques.

Sangmoon Lee received his B.S. degree in electronics engineering from Kyungpook National University, Daegu, Korea, in 1999, his M.S and Ph.D. degrees in electronics engineering from POSTECH, Pohang, Korea, in 2001 and 2006, respectively. He is currently a Professor with the School of Electronic and Electrical Engineering, Kyungpook National University. His main research interests include cyber physical systems, reinforcement learning, imitation learning, fuzzy systems, networked control, robust control, model predictive control, and its industrial applications.

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Saravanakumar, T., Lee, S. Improved Results on H, Performance for Semi-Markovian Jump LPV Systems Under Actuator Saturation and Faults. Int. J. Control Autom. Syst. 22, 1807–1818 (2024). https://doi.org/10.1007/s12555-023-0475-7

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

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