Stabilization and model reference tracking control of discrete-time nonlinear systems via modified fuzzy static output feedback design

Kuo Jung Lin; Tzuu Hseng S. Li

doi:10.1109/iFUZZY.2017.8311806

Stabilization and model reference tracking control of discrete-time nonlinear systems via modified fuzzy static output feedback design

Kuo Jung Lin, Tzuu Hseng S. Li

Department of Electrical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Some new results for stabilization design of discrete-time (DT) nonlinear systems with H∞ performance are proposed in this paper. DT nonlinear systems can be constructed by using the Takagi-Sugeno (T-S) fuzzy model. First, we propose the modified fuzzy static output feedback (MFSOF) controller. The stabilization problem becomes to stabilize a new discrete-time fuzzy descriptor (DTFD) system. Such that, the proposed MFSOF control will stabilize the DT nonlinear systems. Furthermore, model reference fuzzy tracking control (MRFTC) design for the DTFD systems is investigated. The stability conditions can be certificate by using Lyapunov theorem. A practical system is given to verification the proposed formula.

Original language	English
Title of host publication	2017 International Conference on Fuzzy Theory and Its Applications, iFUZZY 2017
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1-6
Number of pages	6
ISBN (Electronic)	9781538626962
DOIs	https://doi.org/10.1109/iFUZZY.2017.8311806
Publication status	Published - 2018 Mar 9
Event	2017 International Conference on Fuzzy Theory and Its Applications, iFUZZY 2017 - Pingtung, Taiwan Duration: 2017 Nov 12 → 2017 Nov 15

Publication series

Name	2017 International Conference on Fuzzy Theory and Its Applications, iFUZZY 2017
Volume	2017-November

Other

Other	2017 International Conference on Fuzzy Theory and Its Applications, iFUZZY 2017
Country	Taiwan
City	Pingtung
Period	17-11-12 → 17-11-15

All Science Journal Classification (ASJC) codes

Applied Mathematics
Control and Optimization
Logic
Artificial Intelligence
Decision Sciences (miscellaneous)

Access to Document

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Lin, K. J., & Li, T. H. S. (2018). Stabilization and model reference tracking control of discrete-time nonlinear systems via modified fuzzy static output feedback design. In 2017 International Conference on Fuzzy Theory and Its Applications, iFUZZY 2017 (pp. 1-6). (2017 International Conference on Fuzzy Theory and Its Applications, iFUZZY 2017; Vol. 2017-November). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/iFUZZY.2017.8311806

Lin, Kuo Jung ; Li, Tzuu Hseng S. / Stabilization and model reference tracking control of discrete-time nonlinear systems via modified fuzzy static output feedback design. 2017 International Conference on Fuzzy Theory and Its Applications, iFUZZY 2017. Institute of Electrical and Electronics Engineers Inc., 2018. pp. 1-6 (2017 International Conference on Fuzzy Theory and Its Applications, iFUZZY 2017).

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abstract = "Some new results for stabilization design of discrete-time (DT) nonlinear systems with H∞ performance are proposed in this paper. DT nonlinear systems can be constructed by using the Takagi-Sugeno (T-S) fuzzy model. First, we propose the modified fuzzy static output feedback (MFSOF) controller. The stabilization problem becomes to stabilize a new discrete-time fuzzy descriptor (DTFD) system. Such that, the proposed MFSOF control will stabilize the DT nonlinear systems. Furthermore, model reference fuzzy tracking control (MRFTC) design for the DTFD systems is investigated. The stability conditions can be certificate by using Lyapunov theorem. A practical system is given to verification the proposed formula.",

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Lin, KJ & Li, THS 2018, Stabilization and model reference tracking control of discrete-time nonlinear systems via modified fuzzy static output feedback design. in 2017 International Conference on Fuzzy Theory and Its Applications, iFUZZY 2017. 2017 International Conference on Fuzzy Theory and Its Applications, iFUZZY 2017, vol. 2017-November, Institute of Electrical and Electronics Engineers Inc., pp. 1-6, 2017 International Conference on Fuzzy Theory and Its Applications, iFUZZY 2017, Pingtung, Taiwan, 17-11-12. https://doi.org/10.1109/iFUZZY.2017.8311806

Stabilization and model reference tracking control of discrete-time nonlinear systems via modified fuzzy static output feedback design. / Lin, Kuo Jung; Li, Tzuu Hseng S.

2017 International Conference on Fuzzy Theory and Its Applications, iFUZZY 2017. Institute of Electrical and Electronics Engineers Inc., 2018. p. 1-6 (2017 International Conference on Fuzzy Theory and Its Applications, iFUZZY 2017; Vol. 2017-November).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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N2 - Some new results for stabilization design of discrete-time (DT) nonlinear systems with H∞ performance are proposed in this paper. DT nonlinear systems can be constructed by using the Takagi-Sugeno (T-S) fuzzy model. First, we propose the modified fuzzy static output feedback (MFSOF) controller. The stabilization problem becomes to stabilize a new discrete-time fuzzy descriptor (DTFD) system. Such that, the proposed MFSOF control will stabilize the DT nonlinear systems. Furthermore, model reference fuzzy tracking control (MRFTC) design for the DTFD systems is investigated. The stability conditions can be certificate by using Lyapunov theorem. A practical system is given to verification the proposed formula.

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Lin KJ, Li THS. Stabilization and model reference tracking control of discrete-time nonlinear systems via modified fuzzy static output feedback design. In 2017 International Conference on Fuzzy Theory and Its Applications, iFUZZY 2017. Institute of Electrical and Electronics Engineers Inc. 2018. p. 1-6. (2017 International Conference on Fuzzy Theory and Its Applications, iFUZZY 2017). https://doi.org/10.1109/iFUZZY.2017.8311806