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Robust Decentralized Fuzzy Control for Large-scale Descriptor Systems With Decay Rate Constraint

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  • Intelligent Control and Applications
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Abstract

This study addresses the control problem of a nonlinear large-scale descriptor system (LSDS) through the use of a decentralized proportional-plus-derivative state feedback fuzzy (DPDF) control strategy. The Takagi-Sugeno (T-S) fuzzy modeling technique, which is widely used by researchers, is used to describe the nonlinear LSDS as a set of linear subsystems with interconnections. Based on the constructed T-S fuzzy LSDS, a DPDF feedback method is proposed to address the limitations of the descriptor matrix of the T-S fuzzy LSDS and to solve the regular and impulse-free problems of systems while providing a more convenient and effective approach for discussing system stability. Additionally, the Lyapunov theory is chosen to analyze the stability conditions. This study uses a quadratic Lyapunov function to provide sufficient criteria to ensure the decay rate performance of the LSDS, which can be transformed into linear matrix inequality (LMI) form. The proposed method is demonstrated through several examples to showcase its effectiveness.

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Authors and Affiliations

  1. Department of Marine Engineering, National Taiwan Ocean University, Keelung, 202, Taiwan, R.O.C.

    Che-Lun Su & Wen-Jer Chang

  2. Department of Marine Engineering, National Kaohsiung University of Science and Technology, Kaohsiung, Taiwan, R.O.C.

    Cheung-Chieh Ku

Authors
  1. Che-Lun Su
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  2. Wen-Jer Chang
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Correspondence to Wen-Jer Chang.

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The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

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This work was supported by the National Science and Technology Council of the Republic of China under Contract MOST 111-2221-E-019-075.

Che-Lun Su was born on November 7, 1996, in Taiwan, R.O.C. He received his B.S. and M.S. degrees from the Department of Marine Engineering of the National Taiwan Ocean University, Taiwan, R.O.C., in 2018 and 2019, respectively. He is currently working toward a Ph.D. degree in the Department of Marine Engineering at the National Taiwan Ocean University. His current research interests include fuzzy control, singular systems, descriptor systems, large-scale systems, robust control, and passivity theory.

Wen-Jer Chang received his B.S. degree from National Taiwan Ocean University, Taiwan, R.O.C., in 1986. The Marine Engineering is his major course and the Electronic Engineering is his minor one. He received an M.S. degree in the Institute of Computer Science and Electronic Engineering from the National Central University in 1990, and a Ph.D. degree from the Institute of Electrical Engineering of the National Central University in 1995. Since 1995, he has been with National Taiwan Ocean University, Keelung, Taiwan, R.O.C. He is currently a Distinguished Professor of the Department of Marine Engineering and the Vice President of Research and Development Office of National Taiwan Ocean University. He is now a life member of the IEEE, CIEE, CACS, CSFAT and SNAME. Since 2003, Dr. Chang was listed in the Marquis Who’s Who in Science and Engineering. In 2003, he also won the outstanding young control engineers award granted by the Chinese Automation Control Society (CACS). In 2004, he won the universal award of accomplishment granted by ABI of USA. In 2005 and 2013, he was selected as an excellent teacher of the National Taiwan Ocean University. Dr. Chang has authored more than 140 published journal papers and 135 refereed conference papers. His recent research interests are marine engineering, fuzzy control, robust control, and performance constrained control.

Cheung-Chieh Ku was born on January 14, 1978 in Taiwan, R.O.C. He received his B.S. and M.S. degrees from the Department of Marine Engineering of the National Taiwan Ocean University, Taiwan, R.O.C., in 2001 and 2006, respectively. He received a Ph.D. degree from the electrical engineering of the National Taiwan Ocean University, Taiwan R.O.C., in 2010. Since 2012, he has been with National Taiwan Ocean University, Keelung, Taiwan, R.O.C. He is currently the professor of the Department of Marine Engineering, National Kaohsiung University of Science and Technology. He is now a life member of the CACS and CSFAT. The Marine Engineering is his major course and the Electronic Engineering is his minor one. His research interests focus on LPV system, mixed performance control, fuzzy control, stochastic systems, and passivity theory.

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Su, CL., Chang, WJ. & Ku, CC. Robust Decentralized Fuzzy Control for Large-scale Descriptor Systems With Decay Rate Constraint. Int. J. Control Autom. Syst. 21, 4111–4122 (2023). https://doi.org/10.1007/s12555-023-0162-8

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