Regular Papers

International Journal of Control, Automation, and Systems 2023; 21(12): 4111-4122

https://doi.org/10.1007/s12555-023-0162-8

© The International Journal of Control, Automation, and Systems

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

Che-Lun Su, Wen-Jer Chang*, and Cheung-Chieh Ku

National Taiwan Ocean University

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 TakagiSugeno (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.

Keywords Decay rate constraint, decentralized proportional-derivative control, robust control, Takagi-Sugeno large-scale descriptor systems.

Article

Regular Papers

International Journal of Control, Automation, and Systems 2023; 21(12): 4111-4122

Published online December 1, 2023 https://doi.org/10.1007/s12555-023-0162-8

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

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

Che-Lun Su, Wen-Jer Chang*, and Cheung-Chieh Ku

National Taiwan Ocean University

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 TakagiSugeno (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.

Keywords: Decay rate constraint, decentralized proportional-derivative control, robust control, Takagi-Sugeno large-scale descriptor systems.

IJCAS
April 2024

Vol. 22, No. 4, pp. 1105~1460

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