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Robust fuzzy control for discrete perturbed time-delay affine Takagi-Sugeno fuzzy models

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Abstract

The purpose of this paper is to study the stability analysis and controller synthesis principles of Discrete Perturbed Time-Delay Affine (DPTDA) Takagi-Sugeno (T-S) fuzzy models. In general, the T-S fuzzy model is a weighted sum of some linear subsystems via fuzzy membership functions. This paper considers fuzzy rules include both linear nominal parts and uncertain parameters in the time-delay affine T-S fuzzy model. For DPTDA T-S fuzzy models, the T-S fuzzy control scheme is used to confront the H∞ performance constraints. Some sufficient conditions are derived on robust H∞ disturbance attenuation in which both robust stability and a prescribed performance are required to be achieved. In order to find suitable fuzzy controllers, the Iterative Linear Matrix Inequality (ILMI) algorithm is employed to solve these sufficient conditions. At last, a numerical simulation for the nonlinear truck-trailer system is given to show the applications of the present design approach.

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Authors and Affiliations

  1. Department of Marine Engineering, National Taiwan Ocean University, 2 Pei-Ning Road, Keelung, Taiwan, 20224, R.O.C.

    Wen-Jer Chang & Wei-Han Huang

  2. Department of Electrical Engineering, National Taiwan Ocean University, 2 Pei-Ning Road, Keelung, Taiwan, 20224, R.O.C.

    Cheung-Chieh Ku

Authors
  1. Wen-Jer Chang
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  2. Wei-Han Huang
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Corresponding author

Correspondence to Wen-Jer Chang.

Additional information

Recommended by Editorial Board member Euntai Kim under the direction of Editor Young-Hoon Joo. This work was supported by the National Science Council of the Republic of China under Contract NSC98-2221-E-019-034.

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 his M.S. degree in the Institute of Computer Science and Electronic Engineering from the National Central University in 1990, and his 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 the Vice Dean of Academic Affairs, Director of Center for Teaching and Learning and a full Professor of the Department of Marine Engineering of National Taiwan Ocean University. He is now a life member of the 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, he was selected as an excellent teacher of the National Taiwan Ocean University. Dr. Chang has over 170 publications including 86 journal papers. His recent research interests are fuzzy control, robust control, performance constrained control.

Wei-Han Huang 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 2006 and 2008, respectively. His research interests focus on fuzzy control and robust control theory.

Cheung-Chieh Ku 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 his Ph.D. degree from Department of Electrical Engineering of National Taiwan Ocean University, Taiwan, R.O.C., in 2010. His research interests focus on fuzzy control, stochastic control theory, dissipation theory and time-delay systems.

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Chang, WJ., Huang, WH. & Ku, CC. Robust fuzzy control for discrete perturbed time-delay affine Takagi-Sugeno fuzzy models. Int. J. Control Autom. Syst. 9, 86–97 (2011). https://doi.org/10.1007/s12555-011-0111-9

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  • DOI: https://doi.org/10.1007/s12555-011-0111-9

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