The Observer-Based Fuzzy <em>H</em><sub>∞</sub> Controller of Nonlinear Systems

DU Zhenbin; SONG Yibin; ZHANG Zhengqiang

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DU Zhenbin, SONG Yibin, ZHANG Zhengqiang. The Observer-Based Fuzzy H∞ Controller of Nonlinear Systems[J]. Chinese Journal of Electronics, 2013, 22(1): 114-117.

Citation:

DU Zhenbin, SONG Yibin, ZHANG Zhengqiang. The Observer-Based Fuzzy H_∞ Controller of Nonlinear Systems[J]. Chinese Journal of Electronics, 2013, 22(1): 114-117.

DU Zhenbin, SONG Yibin, ZHANG Zhengqiang. The Observer-Based Fuzzy H∞ Controller of Nonlinear Systems[J]. Chinese Journal of Electronics, 2013, 22(1): 114-117.

Citation:

DU Zhenbin, SONG Yibin, ZHANG Zhengqiang. The Observer-Based Fuzzy H_∞ Controller of Nonlinear Systems[J]. Chinese Journal of Electronics, 2013, 22(1): 114-117.

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The Observer-Based Fuzzy H_∞ Controller of Nonlinear Systems

1.
School of Computer Science and Technology, Yantai University, Yantai 264005, China;
2.
School of Electrical Engineering and Automation, Qufu Normal University, Rizhao 276826, China

Funds: This work is supported by the Natural Science Foundation of Shandong Province (No.ZR2011FQ037) and the National Natural Science Foundation of China (No.61203320, No.61175086, No.61273128) and the Demestic Visiting Scholars Project of Young Teachers for Higher School of Shandong Province.

Received Date: 2011-11-01
Rev Recd Date: 2012-03-01
Publish Date: 2013-01-05

Abstract

Abstract

The observer-based H_∞ control problem is investigated for a class of complex nonlinear systems with unavailable states and time delays, and under uncertainties. Takagi-Sugeno (T-S) models are used to approximate the nonlinear systems, and a fuzzy observer is designed to estimate the system states, with which a fuzzy controller is designed to guarantee the stability of the fuzzy system. A compensator based on fuzzy logic systems is introduced to eliminate the approximating error and the uncertainties. Thus, the output-feedback controller is designed to ensure that the closed-loop system is Uniformly ultimately bounded (UUB) and satisfies the desired H_∞ performance. In this method, it is not necessary for the approximating error and uncertainties to satisfy the constraint conditions. A simulation example demonstrates the effectiveness of the proposed control scheme.
- Fuzzy T-S model,
- Fuzzy logic systems,
- Nonlinear systems,
- Time delays,
- Uncertainties,
- Observer

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References(10)

References

Cao Zhengcai, Zhao Yingtao, Wu Qidi, “Cenetic fuzzy + PIpath tracking control of a nonholonomic mobile robot”, Acta Electronica Sinica, Vol.39, No.1, pp.31-34, 2011. (in Chinese)

Jiang Hailin, Jin Dongming, “Research on genetic algorithmsbasedfuzzy control”, Acta Electronica Sinica, Vol.30, No.5,pp.676-679, 2002. (in Chinese)

Y.Y. Cao, P.M. Frankm, “Stability analysis and synthesis ofnonlinear time-delay systems via linear Takagi-Sugeno fuzzymodels”, Fuzzy Sets and Systems, Vol.124, No.2, pp.213-229,2001.

Dong Yue, Engang Tian, Yijun Zhang, Chen Peng, “Delaydistribution-dependent stability and stabilization of T-S fuzzysystems with probabilistic interval delay”, IEEE Transactionson Systems, Man, and Cybernetics-Part B: Cybernetics, Vol.39,No.2, pp.503-516, 2009.

Fang Liu, Min Wu, Yong He, Ryuichi Yokoyama, “Newdelay-dependent stability criteria for T-S fuzzy systems withtime-varying delay”, Fuzzy Sets and Systems, Vol.161, No.5,pp.2033-2042, 2010.

Fuwen Yang, Yongmin Li, “Set-membership fuzzy filtering fornonlinear discrete-time systems”, IEEE Transactions on FuzzySystems, Vol.40, No.1, pp.116-123, 2010.

B.S. Chen, C.S. Tseng, H.J. Uang, “Mixed H₂/H_∞ fuzzy outputfeedback control design For nonlinear dynamic systems: anLMI approach”, IEEE Transactions on Fuzzy Systems, Vol.8,No.3, pp.249-265, 2000.

Changchun Hua, Qingguo Wang, Xinping Guan, “Robust adaptivecontroller design for nonlinear time-delay systems via T-Sfuzzy approach”, IEEE Transactions on Fuzzy Systems, Vol.17,No.4, pp.901-910, 2009.

Weisheng Chen, Licheng Jiao, Ruihong Li, Jing Li, “Adaptivebackstepping fuzzy control for nonlinearly parameterized systemswith periodic disturbances”, IEEE Transactions on FuzzySystems, Vol.18, No.4, pp.674-685, 2010.

Weisheng Chen, Zhengqiang Zhang, “Globally stable adaptivebackstepping fuzzy control for output-feedback systems withunknown high-frequency gain sign”, Fuzzy Sets and Systems,Vol.161, No.6, pp.821-836, 2010.

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