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Stabilization of Nonlinear Systems Using Sampled-Data Output-Feedback Fuzzy Controller Based on Polynomial-Fuzzy-Model-Based Control Approach

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Stabilization of Nonlinear Systems Using Sampled-Data Output-Feedback Fuzzy Controller Based on Polynomial-Fuzzy-Model-Based Control Approach. / Lam, H. K.

In: IEEE Transactions on Systems, Man, and Cybernetics, Part B, Vol. 42, No. 1, 6009233, 02.2012, p. 258 - 267.

Research output: Contribution to journalArticle

Harvard

Lam, HK 2012, 'Stabilization of Nonlinear Systems Using Sampled-Data Output-Feedback Fuzzy Controller Based on Polynomial-Fuzzy-Model-Based Control Approach', IEEE Transactions on Systems, Man, and Cybernetics, Part B, vol. 42, no. 1, 6009233, pp. 258 - 267. https://doi.org/10.1109/TSMCB.2011.2163796

APA

Lam, H. K. (2012). Stabilization of Nonlinear Systems Using Sampled-Data Output-Feedback Fuzzy Controller Based on Polynomial-Fuzzy-Model-Based Control Approach. IEEE Transactions on Systems, Man, and Cybernetics, Part B, 42(1), 258 - 267. [6009233]. https://doi.org/10.1109/TSMCB.2011.2163796

Vancouver

Lam HK. Stabilization of Nonlinear Systems Using Sampled-Data Output-Feedback Fuzzy Controller Based on Polynomial-Fuzzy-Model-Based Control Approach. IEEE Transactions on Systems, Man, and Cybernetics, Part B. 2012 Feb;42(1):258 - 267. 6009233. https://doi.org/10.1109/TSMCB.2011.2163796

Author

Lam, H. K. / Stabilization of Nonlinear Systems Using Sampled-Data Output-Feedback Fuzzy Controller Based on Polynomial-Fuzzy-Model-Based Control Approach. In: IEEE Transactions on Systems, Man, and Cybernetics, Part B. 2012 ; Vol. 42, No. 1. pp. 258 - 267.

Bibtex Download

@article{2e28052c59b843c4b948e7d7ac9fa5b9,
title = "Stabilization of Nonlinear Systems Using Sampled-Data Output-Feedback Fuzzy Controller Based on Polynomial-Fuzzy-Model-Based Control Approach",
abstract = "This paper investigates the stability of sampled-data output-feedback (SDOF) polynomial-fuzzy-model-based control systems. Representing the nonlinear plant using a polynomial fuzzy model, an SDOF fuzzy controller is proposed to perform the control process using the system output information. As only the system output is available for feedback compensation, it is more challenging for the controller design and system analysis compared to the full-state-feedback case. Furthermore, because of the sampling activity, the control signal is kept constant by the zero-order hold during the sampling period, which complicates the system dynamics and makes the stability analysis more difficult. In this paper, two cases of SDOF fuzzy controllers, which either share the same number of fuzzy rules or not, are considered. The system stability is investigated based on the Lyapunov stability theory using the sum-of-squares (SOS) approach. SOS-based stability conditions are obtained to guarantee the system stability and synthesize the SDOF fuzzy controller. Simulation examples are given to demonstrate the merits of the proposed SDOF fuzzy control approach.",
author = "Lam, {H. K.}",
year = "2012",
month = feb,
doi = "10.1109/TSMCB.2011.2163796",
language = "English",
volume = "42",
pages = "258 -- 267",
journal = "IEEE Transactions on Systems, Man and Cybernetics, Part B: Cybernetics",
issn = "1083-4419",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "1",

}

RIS (suitable for import to EndNote) Download

TY - JOUR

T1 - Stabilization of Nonlinear Systems Using Sampled-Data Output-Feedback Fuzzy Controller Based on Polynomial-Fuzzy-Model-Based Control Approach

AU - Lam, H. K.

PY - 2012/2

Y1 - 2012/2

N2 - This paper investigates the stability of sampled-data output-feedback (SDOF) polynomial-fuzzy-model-based control systems. Representing the nonlinear plant using a polynomial fuzzy model, an SDOF fuzzy controller is proposed to perform the control process using the system output information. As only the system output is available for feedback compensation, it is more challenging for the controller design and system analysis compared to the full-state-feedback case. Furthermore, because of the sampling activity, the control signal is kept constant by the zero-order hold during the sampling period, which complicates the system dynamics and makes the stability analysis more difficult. In this paper, two cases of SDOF fuzzy controllers, which either share the same number of fuzzy rules or not, are considered. The system stability is investigated based on the Lyapunov stability theory using the sum-of-squares (SOS) approach. SOS-based stability conditions are obtained to guarantee the system stability and synthesize the SDOF fuzzy controller. Simulation examples are given to demonstrate the merits of the proposed SDOF fuzzy control approach.

AB - This paper investigates the stability of sampled-data output-feedback (SDOF) polynomial-fuzzy-model-based control systems. Representing the nonlinear plant using a polynomial fuzzy model, an SDOF fuzzy controller is proposed to perform the control process using the system output information. As only the system output is available for feedback compensation, it is more challenging for the controller design and system analysis compared to the full-state-feedback case. Furthermore, because of the sampling activity, the control signal is kept constant by the zero-order hold during the sampling period, which complicates the system dynamics and makes the stability analysis more difficult. In this paper, two cases of SDOF fuzzy controllers, which either share the same number of fuzzy rules or not, are considered. The system stability is investigated based on the Lyapunov stability theory using the sum-of-squares (SOS) approach. SOS-based stability conditions are obtained to guarantee the system stability and synthesize the SDOF fuzzy controller. Simulation examples are given to demonstrate the merits of the proposed SDOF fuzzy control approach.

U2 - 10.1109/TSMCB.2011.2163796

DO - 10.1109/TSMCB.2011.2163796

M3 - Article

VL - 42

SP - 258

EP - 267

JO - IEEE Transactions on Systems, Man and Cybernetics, Part B: Cybernetics

JF - IEEE Transactions on Systems, Man and Cybernetics, Part B: Cybernetics

SN - 1083-4419

IS - 1

M1 - 6009233

ER -

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