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Imperfect premise matching based fuzzy control with passive constraints for discrete time-delay multiplicative noised stochastic nonlinear systems

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Abstract

This paper investigates a fuzzy controller design method for discrete-time nonlinear stochastic time-delay systems which are presented by the Takagi-Sugeno (T-S) fuzzy model with multiplicative noises. Utilizing the proposed design method, the fuzzy controller can be carried out via not only state feedback scheme but also output feedback scheme. Both of them are accomplished by the concept of imperfect premise matching (IPM). For discussing the stabilization problem, the Lyapunov-Krasovskii function and passivity theory are applied to derive the sufficient conditions. Moreover, the discrete Jensen inequality is employed to decrease the conservatism of the proposed method. Finally, a numerical example for the control of a nonlinear time-delay pendulum system is provided to show the effectiveness and usefulness of the proposed design method.

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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.

    Cheung-Chieh Ku, Wen-Jer Chang, Chun-Hung Lin & Yao-Chung Chang

Authors
  1. Cheung-Chieh Ku
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  2. Wen-Jer Chang
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  3. Chun-Hung Lin
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  4. Yao-Chung Chang
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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.

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 in Electrical Engineering from the National Taiwan Ocean University, Taiwan R.O.C., in 2010. Since 2012, he is an assistant professor of the Department of Marine Engineering of National Taiwan Ocean University. His research interests focus on fuzzy control, stochastic systems 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 his M.S. degree from the Institute of Computer Science and Electronic Engineering of 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 200 publications including 96 journal papers. His recent research interests are fuzzy control, robust control, performance constrained control.

Chun-Hung Lin received his M.S. degree from the Department of Marine Engineering of the National Taiwan Ocean University, Taiwan, R.O.C., in 2011. His research interests focus on fuzzy control and stochastic system.

Yao-Chung Chang 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 2011 and 2013, respectively. His research interests focus on fuzzy control and passivity theory.

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Ku, CC., Chang, WJ., Lin, CH. et al. Imperfect premise matching based fuzzy control with passive constraints for discrete time-delay multiplicative noised stochastic nonlinear systems. Int. J. Control Autom. Syst. 11, 614–623 (2013). https://doi.org/10.1007/s12555-012-0087-0

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  • DOI: https://doi.org/10.1007/s12555-012-0087-0

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