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Adaptive fuzzy output feedback control of nonlinear uncertain systems with unknown backlash-like hysteresis based on modular design

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Abstract

In this paper, an adaptive fuzzy output feedback control approach is presented for a class of single-input single-output uncertain nonlinear systems with unknown backlash-like hysteresis and unmeasured states. Fuzzy logic systems are utilized to approximate the unknown nonlinear functions, and a state filter observer is designed to estimate unmeasured states. Combining the backstepping recursive design with modular design techniques, a new adaptive fuzzy output control scheme is developed. It is proved that the proposed control approach can guarantee that all the signals of the resulting closed-loop system are semiglobally uniformly ultimately bounded, and the tracking error converges to a small neighborhood of the origin. A simulation is included to illustrate the effectiveness of the proposed approach. The important feature of the proposed control approach is that it can solve the states immeasurable problem of nonlinear systems with unknown backlash-like hysteresis and the problem of unknown virtual control coefficients.

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Acknowledgments

This work was supported in part by the National Natural Science Foundation of China (Nos. 61203008, 61074014, 51179019), the Program for Liaoning Innovative Research Team in University (No. LT2012013), the Program for Liaoning Excellent Talents in University (No. LR2012016), and the Natural Science Foundation of Liaoning Province (No. 20102012).

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Authors and Affiliations

  1. Department of Basic Mathematics, Liaoning University of Technology, Jinzhou, 121001, Liaoning, People’s Republic of China

    Yongming Li & Shaocheng Tong

  2. Navigation College, Dalian Maritime University, Dalian, 116026, Liaoning, People’s Republic of China

    Yongming Li & Tieshan Li

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  1. Yongming Li
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  2. Shaocheng Tong
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  3. Tieshan Li
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Correspondence to Yongming Li.

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Li, Y., Tong, S. & Li, T. Adaptive fuzzy output feedback control of nonlinear uncertain systems with unknown backlash-like hysteresis based on modular design. Neural Comput & Applic 23 (Suppl 1), 261–270 (2013). https://doi.org/10.1007/s00521-013-1355-5

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  • DOI: https://doi.org/10.1007/s00521-013-1355-5

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